CdR Consciousness of the Real
Exploratory structural framework aimed at studying the internal coherence of reality from its minimal conditions of existence.
Glossary
Reading guide (concise definitions) for Consciousness of the Real (CdR).
CELA
Neutral name designating the substance of the real, understood as an immanent totality without exterior.
Substance of the Real
That which persists through transformation while maintaining internal coherence.
Internal coherence
Non-contradictory compatibility of the internal differentiations of a system.
Immanence
Principle according to which the cause and regulation of the real lie entirely within its own dynamics.
Perception of change
Minimal phenomenological evidence that something varies within the real.
Minimal act of being
Effective internal difference implied by the perception of a change.
To exist CdR
To persist within a finite internal contrast compatible with coherence.
Ontological finitude
Internal condition excluding absolute uniformity and infinite differentiation.
Unity without uniformity
Unity capable of sustaining internal variation without fragmentation of being.
ρ ontological density
Local intensity of presence, cohesion, or concentration of CELA.
C differential complexity
Degree of internal articulation and differentiation of a system.
Immanence invariant
Structural constraint expressed by the relation ρ·C = kΦ.
Stable regime
Configuration maintaining dynamic balance between density and complexity.
Self-maintenance
Capacity of a system to preserve its existence through internal compensation.
Internal differentiation
Existence of effective internal contrasts within a coherent unity.
Differentiated reactivity
Response whose form depends on the internal structure of the system.
Minimal sensitivity
Reactivity without implication of consciousness or subjective experience.
Immanent dynamism
Property according to which change proceeds from the real itself rather than from external causes.
Immanent intelligibility
Property by which the real is describable because it is structurally coherent.
Complexification
Process by which simple structures generate more differentiated and articulated ones.
Structural attractor
Equilibrium constraint defining durable organizational regimes.
Theoretical limit
Extreme conceptual configuration used as an analytical reference.
Non-extended state
Theoretical limit of maximal density with minimal positive complexity.
Proto-metric
Internal relational ordering without stabilized geometric extension.
Internal metric
Stable organization of distances, directions, and dimensional relations.
Dimensional axis
Abstract direction of internal organization within CELA.
Space-time axis
Indivisible axis simultaneously expressing extension and order.
Axial dimensionality
Number of dimensional axes effectively exploited by a system.
Dimensional expansion
Deployment of CELA along additional axes of organization.
Wave CdR
Repetitive dynamic pattern emerging on an organized surface.
Volume CdR
Coherent three-dimensional region of stabilized organization.
Mass CdR
Stable volumetric cohesion manifesting as inertia.
Force CdR
Redistribution of volumetric cohesion between structures.
Energy CdR
Capacity for transformation arising from density–complexity tension.
Psychophysics CdR
Joint description of physical structure and lived organization.
Lived organization
Expression of the real as immediate experiential structure.
Material organization
Expression of the real as physical and geometric structure.
Consciousness CdR
Emergent organizational mode of CELA arising from sufficient internal differentiation.
Generative ontology
Principle according to which the real generates its own physical and cognitive forms.
Falsifiability CdR
Set of structural conditions whose violation would invalidate the framework.
External verifiability
Capacity to produce consequences confrontable with independent domains.
Single principle
Hypothesis of a unique foundational constraint underlying all reality.
Φ field
Internal field modeling the local dynamics and redistribution of coherence within CELA.
Spation Θ
Elementary quantum of spatio-temporal coherence.
Granularity of the real
Existence of irreducible minimal scales of organization.
Non-vacuity
Absence of ontological void; all regions remain structurally filled.
CdR Consciousness of the Real
Exploratory structural framework aimed at studying the internal coherence of reality from its minimal conditions of existence.
CELA
Neutral name designating the substance of the real, understood as an immanent totality without exterior.
Substance of the Real
That which persists through transformation while maintaining internal coherence.
Internal coherence
Non-contradictory compatibility of the internal differentiations of a system.
Immanence
Principle according to which the cause and regulation of the real lie entirely within its own dynamics.
Perception of change
Minimal phenomenological evidence that something varies within the real.
Minimal act of being
Effective internal difference implied by the perception of a change.
To exist CdR
To persist within a finite internal contrast compatible with coherence.
Ontological finitude
Internal condition excluding absolute uniformity and infinite differentiation.
Unity without uniformity
Unity capable of sustaining internal variation without fragmentation of being.
ρ ontological density
Local intensity of presence, cohesion, or concentration of CELA.
C differential complexity
Degree of internal articulation and differentiation of a system.
Immanence invariant
Structural constraint expressed by the relation ρ·C = kΦ.
Stable regime
Configuration maintaining dynamic balance between density and complexity.
Self-maintenance
Capacity of a system to preserve its existence through internal compensation.
Internal differentiation
Existence of effective internal contrasts within a coherent unity.
Differentiated reactivity
Response whose form depends on the internal structure of the system.
Minimal sensitivity
Reactivity without implication of consciousness or subjective experience.
Immanent dynamism
Property according to which change proceeds from the real itself rather than from external causes.
Immanent intelligibility
Property by which the real is describable because it is structurally coherent.
Complexification
Process by which simple structures generate more differentiated and articulated ones.
Structural attractor
Equilibrium constraint defining durable organizational regimes.
Theoretical limit
Extreme conceptual configuration used as an analytical reference.
Non-extended state
Theoretical limit of maximal density with minimal positive complexity.
Proto-metric
Internal relational ordering without stabilized geometric extension.
Internal metric
Stable organization of distances, directions, and dimensional relations.
Dimensional axis
Abstract direction of internal organization within CELA.
Space-time axis
Indivisible axis simultaneously expressing extension and order.
Axial dimensionality
Number of dimensional axes effectively exploited by a system.
Dimensional expansion
Deployment of CELA along additional axes of organization.
Wave CdR
Repetitive dynamic pattern emerging on an organized surface.
Volume CdR
Coherent three-dimensional region of stabilized organization.
Mass CdR
Stable volumetric cohesion manifesting as inertia.
Force CdR
Redistribution of volumetric cohesion between structures.
Energy CdR
Capacity for transformation arising from density–complexity tension.
Psychophysics CdR
Joint description of physical structure and lived organization.
Lived organization
Expression of the real as immediate experiential structure.
Material organization
Expression of the real as physical and geometric structure.
Consciousness CdR
Emergent organizational mode of CELA arising from sufficient internal differentiation.
Generative ontology
Principle according to which the real generates its own physical and cognitive forms.
Falsifiability CdR
Set of structural conditions whose violation would invalidate the framework.
External verifiability
Capacity to produce consequences confrontable with independent domains.
Single principle
Hypothesis of a unique foundational constraint underlying all reality.
Φ field
Internal field modeling the local dynamics and redistribution of coherence within CELA.
Spation Θ
Elementary quantum of spatio-temporal coherence.
Granularity of the real
Existence of irreducible minimal scales of organization.
Non-vacuity
Absence of ontological void; all regions remain structurally filled.
Exploratory framework
Coherent theoretical system not yet fully experimentally validated.
Combinatorial complexity
Non-linear growth of internal states arising from axis combinations.
Multi-axis regime
Configuration simultaneously exploiting multiple dimensional axes.
Optimal plateau 5–6 axes
Zone of maximal structural efficiency between cohesion and complexity.
Structural bound ≈ 8 axes
Upper limit beyond which stable coherence cannot be maintained.
Structural efficiency
Ratio between organizational benefit and complexity cost.
Combinatorial overload
Explosion of internal complexity exceeding available cohesion.
Structural collapse
Loss of stability due to excessive differentiation.
Minimum cohesion threshold ρ_min
Minimal density required to maintain structural existence.
(ρ, C) space
Conceptual space parameterized by density and complexity.
Configuration space
Set of all accessible internal states of a system.
Proto-space-time
Primitive undivided spatio-temporal organization.
Distance CdR
Internal extensive variation along an axis.
Duration CdR
Internal ordinative variation along an axis.
Motion CdR
Joint evolution of distance and duration.
Velocity CdR
Internal ratio between distance and duration.
Acceleration CdR
Variation of velocity between successive states.
Hierarchy of quantities
Ordered emergence of physical quantities from structural conditions.
Dynamic surface
Structure arising from coordinated interaction of multiple axes.
Pressure CdR
Distribution of cohesion over a surface.
Volumetric interaction
Dynamic process between coherent volumes.
Action CdR
Coherent accumulation of transformations through time.
Density–complexity product
Compensation relation between ρ and C.
Invariant kΦ
Characteristic constant defining stable regimes.
Internal coherence speed (c)
Maximum velocity of coherent propagation.
Minimum coherence time (t*)
Minimal duration required for stabilization.
Minimum coherence length (l*)
Minimal spatial scale of stable organization.
Minimum action (ℏ
CdR) Emergent quantum of coherent transformation.
CdR uncertainty principle
Constraint Δρ·ΔC ≥ constant arising from structural limits.
Geometric uncertainty
Indeterminacy produced by finite structural resolution.
6D cell
Elementary unit of CdR pre-geometry.
Triple cells
Combinatorial sub-structures formed by axis triplets.
6D combinatorial structure
Internal organization based on C(6,3).
n/3 motif
Degree of internal activation within a 6D cell.
CdR superposition
Simultaneous coexistence of multiple internal motifs.
CdR entanglement
Non-factorizable global state of coherence.
Structural non-locality
Instantaneous redistribution of coherence across the structure.
Global functional S
Function governing CdR dynamical evolution.
Global minimization
Tendency toward global coherence equilibrium.
Internal 6D phase
Geometric orientation of internal motifs.
CdR pre-geometry
Organizational regime preceding classical space-time.
6D → 4D projection
Process by which observable space-time emerges.
Particle as organizational motif
Interpretation of particles as stable relational structures.
Fundamental constants
Necessary structural effects of invariant coherence.
Standard Model target
Physical organization intended to emerge from CdR structure.
CdR numerical validation
Computational coherence-testing protocols.
CdR Young’s slits test
Simulation of structural superposition.
CdR EPR–Bohm test
Simulation of non-local coherence correlations.
CdR uncertainty test
Numerical verification of the Δρ·ΔC lower bound.
Unified ontological framework
Integrated structural description of the real.
CdR Consciousness of the Real
Exploratory framework aiming to question the origin and coherence of reality from the minimal experience of change, seeking to make space, time, matter, thought, and consciousness emerge from a common dynamic principle, without recourse to pre-established external hypotheses.
Perception of change
Immediate and irreducible observation of an effective transformation of the world, regarded as the first point of contact with reality and as the non-derivable starting point of any inquiry into understanding.
Change
Fundamental fact that something varies or transforms, independently of any theoretical interpretation, constituting the minimal evidence on which an investigation of reality can be anchored.
Direct experience
Immediate and unmediated relation to reality as it manifests prior to any modeling, belief, or explanatory construction.
Single principle
Hypothesis according to which the totality of manifestations of reality proceeds from a single dynamic or fundamental condition, from which complex structures would emerge progressively.
Emergence
Process by which new structures or properties appear from simpler conditions, without being explicitly contained as separate objects within those initial conditions.
Coherence of reality
Non-contradictory and intelligible character of the whole of observable phenomena, suggesting the existence of internal relations or a common underlying structure.
Threshold of inquiry
Conceptual moment when the perception of the world as it appears is recognized as insufficient to account for it, requiring a move beyond immediate evidence toward a deeper interrogation.
Transition from the visible to the invisible
Intellectual and perceptual transition by which attention shifts from directly observable phenomena toward structures, continuities, or principles not immediately accessible to sensory experience.
Appearance
What is immediately given to sensory perception, without prejudging the structure or dynamics that condition its possibility.
Underlying structure
Organization not immediately perceptible that supports the coherence and stability of the observable world, assumed to explain continuity between the visible and the invisible.
Crossing a threshold
Inner act by which an observer accepts going beyond ordinary perception in order to question reality at the level of its deep conditions of existence.
Reversed gaze attitude
Intellectual disposition consisting in questioning reality no longer from what it directly shows, but from what makes possible what it shows.
Symbolic image
Visual representation used not as descriptive illustration, but as a support for passage between perceptual intuition and structural questioning.
Iconographic corpus
Structured set of images serving as a progressive conceptual path, each linking a perceptual intuition to a more developed formal and mathematical description.
CELA Substance of the Real
Neutral designation for what exists in itself and makes space, matter, time, and consciousness possible, posed as a minimal coherence hypothesis derived from the perception of change.
Substance of the Real
Phenomenological framework designating what remains through change and ensures the continuity of reality beyond its apparent forms, without prior dogmatic postulate.
Minimal certainty
Irreducible evidence from which any inquiry into understanding can begin, identified here as the effective perception of change.
Irreducible perception of change
Perception that cannot be doubted, even in the case of generalized illusion, because perceiving a variation already implies an effective difference.
Necessary attributes
Characteristics the Substance of the Real must possess for the perception of change and the stability of forms to be possible.
Minimal deductive approach
Method consisting in inferring the necessary properties of reality from a minimal evidence, without introducing superfluous hypotheses.
Ontological parsimony
Principle according to which no plurality of substances or principles should be introduced as long as no phenomenon imposes its necessity.
Immanent unity
Property according to which nothing that exists can be external to the Substance of the Real; every real distinction remains internal to its being.
Heuristic model
Conceptual architecture intended to guide intelligibility and exploration of reality, without claiming to constitute a complete experimental physical theory.
Internal coherence
Validity criterion of a framework according to which the slightest internal contradiction requires its revision or abandonment.
External verifiability
Capacity of a model to produce predictions or measurable correspondences beyond the usual explanatory framework.
Generative power
Capacity of a single principle to generate an increasing diversity of structures and phenomena without multiplying hypotheses.
Ontological density ρ
Local intensity of being, expressing the degree of effective presence of a system or region of reality.
Differential complexity C
Degree of internal articulation of a system, describing how its differences are organized and structured.
Immanence invariant k
Characteristic value of a stable regime expressing the internal equilibrium constraint between density and complexity in a given system.
Relation ρ·C = k
Formal expression of an internal equilibrium constraint according to which density and complexity co-determine each other to ensure the stability of a system.
Internal finitude
Condition according to which discernible existence rests on maintaining a finite internal contrast, excluding definitional extremes.
Minimal sensitivity
Necessary property of a self-maintained system enabling it to detect an internal variation and respond to it in a differentiated way, without implying consciousness or interiority.
Differentiated reactivity
Type of response to a perturbation depending on the state and internal structure of the system, as opposed to brute undifferentiated causality.
Self-maintenance
Capacity of a system to preserve its stability by adjusting its internal regimes in the face of variations.
Equilibrium attractor
Stable regime in which a durable system operates under the constraint of an internal equilibrium between presence and articulation.
Operational falsifiability
Possibility of falsifying the model by observing stable systems that do not respect the deduced constraints (differentiation, finitude, internal dynamics).
Epistemic positioning
Placement of the CdR framework among major philosophical and scientific traditions, by comparison of shared principles and structuring differences.
Minimal psychophysical framework
Framework aiming to unify physical, psychic, and symbolic phenomena from minimal conditions of existence and coherence.
Psychophysics
Domain describing the simultaneous manifestation of the Real as material organization and as lived organization, without separation or hierarchy, proceeding from a single ontological process.
Psychophysical articulation of the Real
Description of the internal link by which a single Substance manifests in two correlated regimes: one oriented toward structural cohesion, the other toward sensitive modulation.
Double manifestation
Expression of two distinct but non-separated regimes of a single Real, derived from different configurations in the state space (ρ, C).
Manifestation
Particular and stable configuration in the state space (ρ, C), without introducing an additional entity or subjective experience.
ρ-dominant regime
Configuration in which ontological density dominates over complexity, favoring cohesion, stability, and organization.
C-dominant regime
Configuration in which complexity dominates over density, favoring internal differentiation, modulation, and structural sensitivity.
Minimal sensitivity
Minimal functional capacity of a differentiated system to react in a specific way according to its internal structure, without implying consciousness or felt experience.
Oriented reactivity
Form of differentiated reactivity whose preferred direction depends on the system’s internal regime (cohesion for ρ-dominant, differentiation for C-dominant).
State space (ρ, C)
Formal representation of the possible configurations of a system as a function of its ontological density and its differential complexity.
Stable organization
Structural regime characterized by relative permanence and dominant internal cohesion.
Sensitive variation
Structural regime characterized by increased internal modulation and reinforced differentiation.
Physical products
Structures and phenomena that emerge from the progressive complexification of the Substance of the Real, from simple configurations toward extended and organized forms.
Spatial dimension
Degree of structured extension enabling the description of objects and relations along independent directions, from 1D to more abstract dimensions.
Non-extended state
Theoretical limit where density tends toward a maximum and complexity toward a minimal positive value, without stable internal metric or defined spatial extension.
Theoretical limit
Extreme conceptual configuration used as a tool for intelligibility, without the status of a real physical or cosmological state.
Proto-metric
Minimal relational structure arising from internal distinctions, without stable order, without quantified distance, and without extensive dimensions.
Internal metric
Stabilized relational organization enabling the appearance of orders, distances, and directions constitutive of an extended space.
Non-extended
Qualifier designating the absence of a stable and extensive internal metric while preserving minimal relational distinctions.
Non-extended → extended transition
Continuous process by which a proto-metric progressively structures into an internal metric and then into an extended space.
Ontological finitude
Condition according to which discernible existence rests on maintaining finite internal contrasts, not external limits.
Attractor ρ·C ≈ k
Internal equilibrium constraint expressing the co-determination of density and complexity in stable regimes of a system.
Structural falsification
Falsification of the CdR framework by observing durable systems contradicting the deduced constraints on ρ, C, differentiation, or emergent metric.
Dimensional deployment
Process by which CELA, due to its intrinsic dynamics, reduces a state of maximal density by distributing its being along distinct organizational axes.
Dimensional axis
Direction of internal organization along which CELA can distinguish, coordinate, and stabilize differences, forming a basis for dimensional deployment.
Number of independent axes N
Parameter describing how many distinct organizational axes a system can exploit simultaneously in an abstract model.
Minimal combinatorial complexity
Minimal growth of internal complexity resulting from the linear contributions of axes and the combinations between axes (at least pairs), implying faster-than-linear growth with N.
Complexity C(N)
Function describing organizational complexity as a function of the number of axes N, increasing at least quadratically (and potentially faster) when axis combinations are taken into account.
Interactions between axes α
Parameter weighting the contribution of combinations between axes in the growth of organizational complexity.
Constraint ρ·C ≈ kΦ
Internal invariant imposing a co-determination between ontological density and organizational complexity, limiting stable configurations as the number of axes increases.
Minimal cohesion ρmin
Lower threshold of density/cohesion below which a system can no longer stably maintain the structures required by a given number of axes.
Structural collapse threshold
Point at which increasing combinatorial complexity forces density ρ below ρmin, making it impossible to coherently stabilize all axes as independent.
Structural bound Nmax
Maximum number of axes a system constrained by ρ·C ≈ kΦ can stabilize before combinatorial overload and loss of coherence, implying an effective reduction of independent axes.
Optimal plateau of 5–6 axes
Zone where the structural efficiency of a system constrained by ρ·C ≈ kΦ is maximal, resulting from a compromise between organizational richness and combinatorial cost.
Upper bound of 8 axes
Upper limit adopted in the CdR framework beyond which combinatorial overload makes it unsustainable to stabilize all independent axes under the ρ·C ≈ kΦ constraint.
Organizational benefit B(N)
Abstract measure of the gain in distinction and coordination associated with increasing the number of axes, assumed to saturate as N grows.
Saturation of benefits
Property according to which adding further axes yields diminishing marginal gains in distinction and coordination, despite increasing combinatorial cost.
Structural efficiency E(N)
Ratio defining the quality of organization obtained per unit of complexity, used to identify an optimal zone of axes.
Structural cost
Coordination and stabilization load imposed by the combinatorial explosion of interactions between axes as N increases.
Combinatorial overload
Regime in which each additional axis adds a disproportionate number of combinations to stabilize, leading to loss of coherence or abandonment of axis independence.
Effective reduction of axes
Necessity, beyond Nmax, to stop treating certain axes as independent in order to preserve internal coherence under the ρ·C ≈ kΦ constraint.
Combinatorial structure
Description of organizational constraints arising from combinations between axes, considered here independently of any physical or perceptual interpretation.
Structural optimum
Result according to which the combination of “rapid growth of complexity” and “saturation of benefits” produces a zone of maximal efficiency for a limited number of axes rather than an arbitrary number.
Fundamental spatio-temporal axis
Minimal dimensional structure combining simultaneously an extensive aspect (variation of position) and an ordering aspect (succession of states), from which distance, duration, and motion emerge.
Fundamental dimension
Primary organizational axis arising from the deployment of CELA, distinct from usual spatial and temporal dimensions, which are derived products.
Proto-spacetime
Undivided spatio-temporal configuration in which space and time are not yet differentiated, but coexist as two aspects of the same axis.
Spatio-temporal indistinction
Initial state in which extensive and ordering variations belong to a single structure, prior to separation into distinct spatial and temporal dimensions.
Distance
Internal extensive variation defined as the gap between two distinct positions on the same fundamental spatio-temporal axis.
Duration
Internal ordering variation defined as the gap between two successive states on the same fundamental spatio-temporal axis.
Motion
Joint evolution of a position and an ordering state along the same spatio-temporal axis, implying the capacity to compare a prior state to a subsequent state.
Speed
Derived relation expressing the ratio between a variation of position and a variation of ordering along a fundamental spatio-temporal axis.
Acceleration
Variation of a speed defined from the comparison of successive speeds along the same spatio-temporal axis.
State memory
Minimal capacity of a system to retain information about a prior state in order to allow the definition of dynamic relations such as motion and speed.
Hierarchy of emergence of quantities
Conceptual order according to which distance and duration precede motion, motion precedes speed, and speed precedes acceleration.
Derived physical quantities
Quantities such as distance, duration, speed, and acceleration, which emerge as internal relations from a fundamental spatio-temporal axis.
Deployment on a single axis
Process by which CELA initially extends along a single dimensional axis in order to reduce a state of maximal density and actualize its internal variations.
Proto-spatial dimension
Early extensive aspect of a fundamental spatio-temporal axis, prior to the organization of Euclidean spatial dimensions.
Proto-temporal dimension
Early ordering aspect of a fundamental spatio-temporal axis, prior to the emergence of a distinct temporal dimension.
Derivation of spacetime
Process by which several fundamental spatio-temporal axes coordinate to produce multiple spatial dimensions and a common temporal dimension.
Point of maximal density
Conceptual representation of an initial state of CELA without discernible extension, serving as a reference for later dimensional deployment.
Dimensional complexification
Process by which CELA, by deploying across an increasing number of dimensional axes, generates internal interactions, tensions, and emergent effects.
Dimensional interaction
Dynamic relation between structures built on distinct dimensional axes, generating new physical effects.
Dimensional level
Degree of organization corresponding to the coherent exploitation of a given number of dimensional axes (1D, 2D, 3D, 4D, 5D).
Physical emergence
Necessary appearance of new physical notions when a threshold of dimensional organization is crossed.
1D structure
Linear organization based on a single dimensional axis, enabling the emergence of distance, speed, and acceleration.
2D structure
Surface organization resulting from the interaction of 1D lines, making possible waves, pressure, and first spatial structurations.
3D structure
Volumetric organization arising from the interaction of 2D surfaces, enabling the definition of volume and mass.
4D structure
Hyper-volumetric organization where 3D volumes interact dynamically, giving rise to forces and momentum.
5D structure
Level of organization where forces acting over structured distances produce energy and action.
Wave
Dynamic pattern propagating in a structure exploiting at least two dimensional axes, resulting from regular interactions.
Pressure
Measure of the density of cohesion effects distributed over a two-dimensional surface.
Volume
Coherent three-dimensional capacity enabling the accommodation and stabilization of internal organizational structures.
Mass
Expression of the stable volumetric cohesion of a portion of CELA, manifesting as inertia.
Force
Dynamic manifestation of the interaction between coherent masses, translating the redistribution of cohesion during a variation of motion.
Momentum
Quantity of motion carried by a moving mass, expressing the dynamic memory of a coherent volume.
Energy
Capacity of a system to produce transformations, resulting from the combination of cohesion (ρ) and internal organization (C).
Action
Integrated measure of a system’s transformations over a given duration, expressing the global coherence cost under the ρ·C ≈ kΦ constraint.
Dimensional emergence hierarchy
Constrained order according to which physical notions appear as the number of exploited dimensional axes increases.
Dimensional compatibility of physical quantities
Systematic correspondence between fundamental physical notions and the minimal number of dimensional axes required for their emergence.
Axial dimension Dⁿ
Level of organizational amplitude describing how many coherent spatio-temporal axes are exploited to stabilize a given physical quantity, independently of usual measurement units.
Axial dimension D¹
Minimal amplitude of spatio-temporal becoming exploiting a single generative axis, from which distance, duration, speed, and acceleration emerge.
Axial dimension D²
Organizational level corresponding to the coordination of multiple axes into surface structures, enabling the emergence of waves and pressure.
Axial dimension D³
Organizational level associated with the stabilization of coherent volumes, from which mass manifests as durable volumetric cohesion.
Axial dimension D⁴
Level at which coherent volumes interact dynamically, giving rise to forces and momentum.
Axial dimension D⁵
Level corresponding to a system’s global capacity for transformation, where energy appears as force in motion over a distance.
Axial dimension D⁶
Level of organization where energy is integrated over a duration or phase, defining action as the minimal coherent packet of transformation.
Axial amplitude
Interpretation of the notations Dⁿ as organization plateaus of CELA, not as additional geometric dimensions of space.
Axial hierarchy of physical quantities
Constrained organization of physical notions according to their axial levels D¹ to D⁶, ensuring the coherence of usual physical relations.
Axial addition rule
Principle according to which the multiplication of physical quantities corresponds to the addition of their axial levels.
Axial subtraction rule
Principle according to which the division of physical quantities corresponds to the subtraction of their axial levels.
Axial power rule
Principle according to which raising a quantity to a power multiplies its axial level by the exponent.
Analytical level D⁰
Neutral level used to represent normalized quantities or constants without intrinsic axial amplitude in the CdR framework.
Analytical levels D⁻¹ and D⁻²
Analytical operators associated respectively with frequency and the wave vector, used to characterize internal transitions without adding ontological layers.
Generative spatio-temporal axis
Unique fundamental axis simultaneously opening minimal spatial extension and elementary temporal flow, common support of level D¹ quantities.
Non-null axiality of speed
Principle according to which speed is not of null axial dimension, because it exploits a complete spatio-temporal axis, like distance and duration.
Immanent physical laws
Principle according to which physical laws are not external to CELA, but constitute the direct effects of its dimensional deployment.
Axiogenetic deployment
Process by which CELA progressively generates laws, structures, and physical dynamics by exploiting an increasing number of axial dimensions.
Derived physical reality
Property according to which spacetime and physical quantities are not primary frameworks, but products of CELA’s dimensional deployment.
Potential psychic products
Psychic manifestations expected to emerge later as derivatives of the same axial structures as physical quantities.
Psychic products
Set of perceptual and conscious manifestations arising from the same dimensional deployment of CELA as physical products, regarded as a lived expression of the structure of the Real.
Psychophysical (of the Real)
Property of the Real according to which physical and psychic manifestations are two simultaneous faces of a single ontological process, without substance separation.
Psycho-physical unity of the Real
Principle according to which matter and consciousness are not two distinct domains, but two perspectives on a single substance in deployment.
Conscious perception
Organized modality of perception in which the Real recognizes itself and structures itself through stabilized discernments, without adding an external entity.
Emergent consciousness
Property of the Real appearing as a necessary effect of sufficient internal complexification of CELA, not as an added entity or an external cause.
Conscious organizational modality
Particular configuration of CELA in which perception becomes simultaneously perceived and perceiving, constituting the minimal form of consciousness.
Self-affection
Process by which CELA modifies itself in response to an internal presence, constituting the basis of any sensation and any felt experience.
Perceptual primitive
Minimal formal element (sth, feels, being) used to describe the ontological construction of the levels of perception.
sth something
Formal marker of the minimal presence of CELA in a perceptual field, expressing the raw distinction between presence and absence.
feels
Operation of self-affection by which a presence becomes sensation, grounded in an internal differentiation loop.
being
Stabilized perceptual configuration in which a felt presence persists as an identifiable and coherent form.
Perceptual hierarchy D¹–D⁸
Finite organization of levels of perception, describing the progressive complexification of lived experience along a limited number of internal axes.
D¹ Intensity
Minimal perceptual level corresponding to the mere presence of a raw intensity, without relation or form.
D² Sensation
Perceptual level where a self-affection appears by co-presence of two terms, constituting elementary feeling.
D³ Configuration
Perceptual level where a relation stabilizes between what feels and what is felt, forming an identifiable configuration.
D⁴ Transition
Perceptual level where action, state, and having appear, enabling the perception of passages, changes, and statuses.
D⁵ Relation
Perceptual level where the roles of perceiver, existing, having, and conscious become explicit.
D⁶ Principle
Perceptual level where invariants such as being, existing, having, and consciousness emerge, independently of particular contents.
D⁷ System
Perceptual level where relations and principles organize into coherent and interactive networks.
D⁸ Context
Perceptual level where systems themselves are grasped within a global horizon of meaning, constituting the implicit frame of lived experience.
Complete reflexivity
Ontological threshold where the perceptual field becomes both perceiving and perceived, necessary condition for the emergence of consciousness.
Derived cognition
Principle according to which human cognitive operations are local expressions of a prior ontological structure, not their origin.
Perceptual emergence
Process by which increasingly rich structures of discernment appear from the minimal perception of change.
Asymmetry perception / existence
Structural relation according to which any perception implies existence, whereas existence does not necessarily imply perception.
Ontological implication
Internal logical relation by which a given perceptual structure necessarily contains a simpler structure of being.
Non-reciprocal perceptual relation
Principle according to which two perceptual structures may be linked by implication without being mutually reducible.
Perception of perceiving
Minimal perceptual configuration formulated as (sth feels sth), describing the act of perception without explicit identification of a subject or an object.
Perception of existing
Perceptual configuration formulated as (being sth), expressing recognition of a stabilized existence independently of an explicit perceptual act.
Perceptual decomposition
Formal operation consisting in analyzing a complex perception into more elementary perceptual sub-structures.
Perceptual recomposition
Formal operation consisting in regrouping identical perceptual primitives differently in order to produce distinct perceptual truths.
Perceptual combinatorics
Set of rules by which perceptual primitives (sth, feels, being) can be combined and recombined to generate distinct perceptual structures.
Structure (sth feels)
Minimal perceptual sub-structure expressing a self-affection relation without explicit stabilization of being.
Structure (being sth)
Stabilized perceptual structure that can designate either a perceived object or a perceiving subject, depending on how its components are interpreted.
Ontological ambiguity
Capacity of a same perceptual structure to admit multiple legitimate ontological interpretations (object or subject) without internal contradiction.
Perceptual irreducibility
Property according to which two perceptual truths arising from different combinations cannot be reduced to one another without structural loss.
Perceptual truth
Coherent configuration of perceptual primitives constituting a valid assertion within the field of lived experience, without presupposing a higher analytical level.
Reflexive saturation of perception
Structural state in which reflexive recombination of perceptual primitives no longer generates new stable phenomenological forms.
Perceptual structural bound D8
Ontological limit beyond which no new irreducible perceptual category can emerge through reflexive recombination of feeling.
Minimal structure of feeling
Elementary perceptual configuration formulated as sth feels sth, from which all later perceptual forms derive.
Elementary perceptual forms
First stabilized levels of feeling (intensity, sensation, configuration) derived directly from the minimal structure.
Stabilized perceptual forms
Perceptual configurations recognized as coherent and durable (being, perceive, conscious, consciousness, existence).
Perceptual reflexivity
Capacity of feeling to fold back on itself and generate higher-level perceptual forms through internal recombination.
Subject/object recombination logic
Structural rules according to which perceptual primitives may regroup to produce—or not—a subject–object distinction.
Perceptual form
Configuration of perceptual primitives giving rise to an identifiable and non-redundant experience.
Stable reflexive composition
Combination of perceptual primitives that stabilizes into a distinct phenomenological form.
Unstable reflexive composition
Syntactically possible combination of perceptual primitives that produces no identifiable phenomenological novelty.
Perceive
Perceptual form corresponding to the stabilization of a subject → object structure, arising from sth feels sth.
being
Stable perceptual configuration expressing a structured existence without explicit subject–object distinction.
Conscious
Relational perceptual form in which a feels-structure explicitly relates to being.
Consciousness
Higher-level perceptual form resulting from complete reflexivity of feeling, where perception becomes perceived.
Existence
Reflexive stabilization of being at a higher level, independent of an explicit perceptual act.
The perceiver
Advanced perceptual form corresponding to a reflexive structuring of the perceptual field itself.
Asymmetry perceiving / being
Structural relation according to which perceiving implies being, whereas being does not necessarily imply perceiving.
Perceptual isomorphism
Relation by which a new perceptual recombination is revealed to be structurally equivalent to an already existing form.
Structural saturation
State where any new perceptual recombination is either redundant or unstable, marking the bound of the perceptual domain.
Convergence 007–008
Correspondence between the generative hierarchy of perceptual levels (image007) and the reflexive saturation of forms (image008).
Perceptual falsifiability
Criterion according to which the existence of a stable perceptual form irreducible to known compositions would invalidate the model.
Perceptual hierarchy D1–D8
Finite ontological organization of levels of perception, from raw intensity to global reflexive context.
Conceptual correspondences
Structural mapping between the physical, perceptual, and linguistic planes, grounded in the same ontological progression D1→D8.
Axial grammar D1→D8
Conceptual hierarchy of actualization of the Real describing increasing degrees of organization, independent of particular linguistic forms.
Linguistic plane
Level of reflexive expression of the Real where conceptual structures are made operative through diverse grammatical and lexical means.
Ontogenetic homology
Structural correspondence relation by which distinct domains (physics, perception, language) proceed from the same movement of self-differentiation.
Ontological → linguistic correspondence
Controlled projection of levels D1→D8 onto linguistic expressions, without postulating morphological universality.
Conceptual progression
Ordered chaining of integration levels (intensity → context) common to the physical, perceptual, and linguistic domains.
Intensity D1
Raw presence or punctual event, prior to any relational structuring.
Sensation D2
Discernible variation arising from an intensity, constituting the first level of lived differentiation.
Configuration D3
Stabilization of an identifiable form involving a subject/object distinction.
Transition D4
Passage between states, action, or process, enabling the dynamic articulation of configurations.
Relation D5
Interaction or mutual dependence between configurations, opening to reciprocity and interactivity.
Principle D6
Rule or organizing invariant abstracted from relations, independent of particular occurrences.
System D7
Organized and coherent set of principles and relations operating as a functional unit.
Context D8
Global integration of systems within a horizon of meaning or use, constituting the structural bound.
Illustrative correspondences
Non-demonstrative examples showing the conceptual alignment D1→D8 across physics, perception, and language.
Morphological non-universality
Principle according to which languages express the progression D1→D8 through different grammatical means, without obligation of formal derivation.
Linguistic typology
Characterization of languages by their means of expression (derivation, composition, agglutination) of conceptual levels.
Methodological anti-circularity
Rule requiring that levels D1→D8 be defined independently of language, then projected without morphological forcing.
Semantic coherence
Criterion according to which a linguistic correspondence is retained only if meaning remains stable and non-contradictory in use.
Semantic gradient
Conceptual progression of a same lexical root across levels D1→D8, illustrating increasing integration of meaning.
Heuristic neologism
Lexical creation intended to test the coherence of the D1→D8 progression independently of existing morphological constraints.
Linguistic falsifiability
Possibility of invalidating the axial hypothesis if comparative analysis of languages does not confirm the conceptual progression D1→D8.
Emergent language
Principle according to which language does not imitate the Real but emerges as a reflexive form of its internal organization.
Double psycho-physical nature
Property of the Real according to which mental and material dimensions are two expressions of the same differentiation fabric.
Context level D8
Integrative horizon in which perceptual, physical, and linguistic structures converge to produce a modified global lived context.
D8 method
Structural path enabling the attainment of a D8 context by combining a perceptual role (D1–D7) with a term drawn from a given lexical domain.
Structural path toward a context
Ordered composition of perceptual roles and lexical items describing a coherent way to modify a lived context.
Perceptual role
Stabilized ontological function (intensity, sensation, configuration, transition, relation, principle, system) independent of languages and lexical domains.
Perceptual universe
Set of perceptual roles D1–D7 constituting the ontological grammar of perception.
Lexical universe
Specific semantic field (thermal, justice, bobism, etc.) providing the terms instantiating perceptual roles.
Role–domain combination
Association of a perceptual role with a lexical term from a given domain to produce an operative meaning.
D8 combination rule
Principle according to which one does not directly combine levels Dn with one another, but combines a perceptual role with a lexical term to produce a context.
Mirror line
Second formulation of the same structural combination, where the perceptual role and the lexical term swap their syntactic position without altering the structure.
Modified context
Global lived state resulting from applying a D8 method, such as “being warmer” or “living in a more just world.”
Thermal domain
Lexical universe used as an example to illustrate perceptual paths leading to a context of increased warmth.
Justice domain
Lexical universe illustrating the application of perceptual roles D1–D8 to a normative and social field.
Structuring fictional domain
Deliberately invented lexical field (e.g., bobism) used to test structural coherence independently of established usage.
Invariance of perceptual roles
Property according to which roles D1–D7 remain identical regardless of the lexical domain or the target context.
Lexical interchangeability
Capacity to substitute one lexical domain for another without changing the underlying perceptual structure of the combinations.
Multiple paths to the same context
Principle according to which several structurally distinct combinations can lead to the same D8 context.
Psychophysical logic of contexts
Principle according to which the modification of a lived context results from the same perceptual and physical organization arising from the deployment of CELA.
Heuristic application
Exploratory use of combination tables to make conceptual structures visible without normative or prescriptive claim.
Contextual falsifiability
Possibility of falsifying the model if certain domains or targets cannot be expressed by perceptual roles D1–D7.
Psychophysical convergence
Observation that the forms of lived experience and the logic of the world proceed from the same structural organization.
Operative sense
Mode of perceptual composition resulting from the combination of intensity (D1) and principle (D6), oriented toward understanding through reason, law, and explanatory coherence.
Relational sense
Mode of perceptual composition resulting from the combination of sensation (D2) and relation (D5), oriented toward felt connection, unity, and interdependence.
Structural sense
Mode of perceptual composition resulting from the combination of configuration (D3) and transition (D4), oriented toward identifying entities, roles, positions, and actions.
7D sense
Systemic level of perception arising from the stable combination of two lower perceptual dimensions, giving rise to a coherent and recognizable form of sense.
Spiritual mentality
Stable dominance of a 7D sense in the interpretation of reality, prior to mental, cultural, or ideological contents.
Spiritual genders
Perceptual configurations resulting from combining the three 7D senses with their respective polarities, describing orientations of the relation to reality observable in human experience.
Descending polarity (masculine)
Perceptual orientation going from a higher level toward a lower level (e.g., principle toward intensity), privileging structuring, determination, or mastery.
Ascending polarity (feminine)
Perceptual orientation going from a lower level toward a higher level (e.g., intensity toward principle), privileging emergence, receptivity, or the rising of meaning.
Stability principle 2 + 1
Empirical rule according to which stable perceptual configurations combine two senses in one polarity and a third in the opposite polarity, excluding fully homogeneous configurations.
7D mystical experience
Systemic 7D-type lived experience in which an immensity is perceived via the internal, whose meaning-content varies according to the dominant 7D sense.
Content of mystical experience
Specific qualification given to a mystical experience according to the dominant perceptual composition, without modifying the base lived experience.
Conceptual understanding
Intellectual reconstruction of a structure from descriptions, projections, or partial cues, without direct perception of the whole.
Direct perception
Immediate and global grasp of a structure or form, without conceptual reconstruction.
Perceptual analogy
Descriptive device using a visual or conceptual representation to illustrate a perceptual distinction, without demonstrative or normative value.
Confusion between understanding and perception
Error consisting in assimilating the conceptual reconstruction of a structure to its effective direct perception.
Perceptual analogue
Descriptive device using a visual or conceptual representation to illustrate a perceptual distinction, without demonstrative or normative value.
Collective perceptual reconstruction
Process by which several partial perceptions, individually irreducible, are combined in order to reconstruct a structure of reality inaccessible to an isolated perception.
Collective perceptual reconstruction
Process by which several partial perceptions, individually irreducible, are combined in order to reconstruct a structure of reality inaccessible to an isolated perception.
Generative physics
Approach aiming to show that the fundamental structures of physics can emerge as necessary solutions of a coherent substrate, without arbitrary fine-tuning.
Coherent substrate
Unique ontological foundation whose internal properties are sufficient to generate stable and reproducible physical structures.
Generative structure
Minimal internal organization from which observable physical phenomena can be deduced as necessary effects.
Self-complexification
Process by which CELA increases its internal differentiation while preserving an equilibrium between density and complexity.
Internal equilibrium ρ·C
Structural constraint linking ontological density and differentiation, conditioning the stability of emergent physical forms.
Fundamental constants
Invariant physical parameters (h, c, G, α) interpreted here as structural effects of the self-complexification of the Real.
Planck constant h
Constant characterizing the quantization of action, understood as the consequence of a stable structural regime.
Speed of light c
Structural propagation limit interpreted as the effect of a coherent spatio-temporal deployment.
Gravitational constant G
Parameter linking mass and gravitational interaction, considered as derived from a stable volumetric organization.
Fine-structure constant α
Dimensionless parameter measuring the strength of the electromagnetic interaction, seen as the signature of a structural equilibrium.
Mass hierarchy
Ordered organization of particle masses, interpreted as the effect of a non-arbitrary internal differentiation.
Gravity
Interaction phenomenon associated with the global cohesion of structures, conceived as emerging from a geometric organization.
Dark matter
Hypothesis of non-directly observable structures, potentially explainable as distinct regimes of self-complexification.
Quantum stability
Capacity of quantum states to persist without collapse, interpreted as a consequence of structural equilibrium.
Standard Model
Descriptive framework of elementary particles and their interactions, used here as a structural target to be made emergent.
Structural target
Set of symmetries, groupings, and hierarchies that the ontological model must reproduce without ad hoc postulates.
Fundamental forces
Elementary interactions linking the constituents of matter (electromagnetic, weak, strong), excluding gravity.
Electromagnetism
Interaction mediated by the photon, responsible for electrical and magnetic phenomena.
Weak interaction
Interaction responsible for certain particle transformations, mediated by the W and Z bosons.
Strong interaction
Interaction ensuring the cohesion of quarks within hadrons, mediated by gluons.
Bosons
Particles mediating the fundamental interactions.
Photon
Boson mediating the electromagnetic interaction.
W and Z bosons
Bosons mediating the weak interaction.
Gluons
Bosons mediating the strong interaction, carriers of color charge.
Fermions
Family of particles constituting ordinary matter.
Leptons
Fermions not participating in the strong interaction, including electron, muon, tau, and neutrinos.
Quarks
Fermions carrying color charge and participating in the strong interaction.
Color charge
Property of quarks associated with the strong interaction, distinct from electric charge.
Symmetry
Structural property of invariance under certain transformations, considered as the effect of a coherent internal organization.
Emergent physics
Perspective according to which physical laws and entities are not primary, but derive from a single ontological principle.
Experimental role of physics
Function of empirical, predictive, and quantitative validation retained by modern physics.
Fundamental structure
Framework describing how a single, dynamic, and self-complexifying substance (CELA) generates the diversity of reality through the progressive exploitation of dimensional axes.
Self-complexifying substance
Property of CELA by which its internal dynamics spontaneously produce increasing levels of organization without adding external entities.
Multi-axial deployment
Process by which CELA extends along several dimensional axes, generating distinct spaces, structures, and physical capacities.
Dimensional levels 1D→5D
Sequence of structural organizations (line, surface, volume, hyper-volume, energy) associated with the exploitation of an increasing number of axes.
Emergent physical capacities
Physical notions (wave, pressure, mass, force, energy) appearing as necessary effects of interactions between dimensional structures.
Relational configuration
Way in which physical entities must be understood as dynamic arrangements of CELA, rather than as isolated objects.
Particle (configuration)
Interpretation of particles as dynamic and relational configurations of CELA in multi-dimensional spaces.
Visual convention 1D→2D→3D
Standardized graphical device (axis, plane, volume) used to represent dimensional transitions without introducing formalism.
Axis (representation)
Single direction serving as a visual symbol for minimal linear extension (1D).
Plane (representation)
Surface resulting from the coordination of two axes, used as a visual symbol of 2D organization.
Volume (representation)
Closed space arising from three coordinated axes, serving as a visual symbol of 3D organization.
Tetrahedron
Minimal convex polyhedron (4 vertices) used to visualize an elementary volume as a basic 3D cell.
Volume cell
Symbolic unit representing a coherent portion of CELA occupying a three-dimensional volume.
Dimensional axes (1,2,3)
Directions of expansion of CELA in 3D, forming the basis for defining surface and volumetric faces.
2-faces
Surface faces of a cell, corresponding to pairwise combinations of dimensional axes.
3-face
Volumetric face of a cell corresponding to the simultaneous combination of three dimensional axes.
Tetrahedral cell
Elementary 3D cell of CELA defined by three axes, three 2-faces, and one 3-face.
Inter-cell interactions
Dynamic relations between neighboring CELA cells, forming the basis for understanding forces and energy.
Hyper-space
Organizational space opened by the addition of a dimensional axis beyond 3D.
Fourth dimensional axis
New direction of expansion enabling the coexistence and interaction of multiple volumes within a hyper-space.
CdR visual coherence
Principle of graphical standardization ensuring readability and continuity of diagrams across the entire corpus.
Force (geometric effect)
Dynamic interaction resulting from the sharing of a volumetric face between two CELA cells, where an internal variation in one volume induces motion in an adjacent volume.
Shared volumetric face
Common three-dimensional interface between two CELA volumes, allowing the transmission of density, pressure, or wave variations between cells.
Volumetric cell
Coherent three-dimensional configuration of CELA defined by the combination of three dimensional axes, constituting an elementary organizational unit.
Expansion along a fourth axis
Extension of CELA in an additional dimensional direction enabling the coexistence and interaction of several distinct volumes.
Volumetric interaction
Process by which two interconnected volumetric cells exchange dynamic effects through a shared face.
Discrete 6D prototype
Exploratory structure composed of six internal axes and twenty triple-cells, used to test the internal coherence of the CdR model under the constraint ρ·C = kΦ.
Triple-cell (σᵢⱼₖ)
Internal unit of a 6D structure defined by the combination of three axes among six, representing an elementary block of coherence.
Combination C(6,3)
Set of the twenty possible combinations of three axes among six, forming the internal volumetric basis of a 6D cell.
n/3 motif
Internal combinatorial class characterizing a state according to the number of axes activated in a triple-cell (n ∈ {0,1,2,3}).
Dimensional overlap
Degree to which two CELA cells share common axes, determining their capacity for interaction and their emergent properties.
Internal degrees analogous to color
Possible variations of internal orientation within the same n/3 motif, suggesting distinct degrees inside a single structural class.
Closed 6D structure
Complete organization of CELA exploiting six internal axes, including axes, planes, triple-cells, 4D blocks, hyperfaces, and the total cell.
Internal 20-cell graph
Topology linking the twenty triple-cells of a 6D structure according to a neighborhood criterion based on sharing two axes.
Two-axis neighborhood
Topological rule defining the connection between two triple-cells when they share exactly two dimensional axes.
4D block (proto-volume)
Coherent sub-structure obtained by combining four axes within a 6D cell, serving as an intermediate stable region.
5D hyperface
Internal interface obtained by combining five axes within a 6D cell, separating an internal block from the complete cell.
Complete 6D cell
Total geometric object defined by the simultaneous combination of the six internal axes, acting as the global support of the Φ field.
Numerical coherence validation
Computational procedure aiming to verify the internal stability of a 6D structure under the constraint ρ·C ≈ kΦ.
Energy functional S
Mathematical expression measuring the local and relational deviation from the invariant ρ·C = kΦ within a discrete structure.
Gradient descent
Optimization method used to minimize the functional S and reach a stable state of internal coherence.
Internal clusters
Typical groupings of cells exhibiting similar values of ρ and C after numerical convergence.
CELA quantum
Minimal unit of organization of the substance of the Real, simultaneously volume, mass, and dynamic structure.
Particle (mode of organization)
Distributed dynamic configuration of CELA cells in a multidimensional space, rather than a localized point object.
Quantum foam
Qualitative description of a dense, wave-like, voidless network of CELA cells, interconnected and fluctuating.
Structural entanglement
Non-local dependence between CELA cells, where any local modification entails an immediate global reorganization.
Pedagogical 8-cell projection
Simplified representation used to visualize structural motifs intuitively, without claiming to describe the full 6D structure.
Hyperspherical combinatorial table
Organization of a cell’s internal sub-structures according to binomial coefficients Cₙᵏ for n dimensional axes.
nD hypersphere
Abstract geometric object representing the totality of coherent combinations in a space with n internal dimensions.
Dimensional intersection rule
Principle defining the common dimension of two internal blocks as the cardinality of the intersection of their axes.
Internal 6D geometry
Complete combinatorial architecture describing the internal organization of a CELA cell exploiting six axes.
Spation
Discrete elementary cell of CdR spacetime, a fundamental non-particulate unit carrying space, time, mass, and energy simultaneously, defined as a minimal stable volume under the immanence constraint.
Quantum spacetime
Non-continuous spacetime regime constituted by discrete cells (spations), in which classical notions of space and time cease to be valid in isolation.
6D hyper-volume
Six-internal-dimension geometric domain from which the structures of observable spacetime emerge, serving as the cosmic substrate for the deployment of spations.
Immanence principle
Fundamental CdR constraint according to which the density of existence ρ and organizational complexity C locally satisfy the relation ρ·C = kΦ.
Immanence invariant kΦ
Internal constant characterizing the maintenance of local coherence of the Real, defined as the invariant value of the product ρ·C.
Spacetime granularity
Structural property according to which spacetime has a minimal indivisible unit, imposed by the stability of the immanence invariant.
Minimal coherence length l*
Minimal spatial scale associated with a spation, below which no stable structure can maintain immanence.
Minimal coherence time t*
Minimal temporal scale characterizing the duration required for a spation’s internal adjustment without loss of coherence.
Coherence speed c
Internal speed defined as the ratio l*/t*, interpreted as the limiting propagation speed of coherent variations in spacetime.
Minimal action
Quantum of action carried by a spation during a complete internal cycle, interpreted as the structural origin of quantization.
Reduced Planck constant ℏ
Emergent minimal-action value associated with the internal phase rotation of a spation, derived from CdR spacetime granularity.
Relative vacuum
Macroscopic state of space seemingly empty of ordinary matter but saturated with spations, carrying a real density and energy that are compensated.
Cosmological constant
Macroscopic effect attributed to fluctuations of the saturated spationic medium, interpreted as the signature of the relative vacuum at large scale.
Planck pressure
Limiting pressure value reached in an extremely dense spationic medium, where energy, mass, and space become inseparable.
Dynamic viscosity of spacetime
Rheological property of the spationic medium by which spacetime cells oppose an internal resistance to relative sliding, ensuring inertia, wave transmission, and memory of motion.
Spationic medium
Extremely dense cohesive network made of spations, forming the dynamic substrate of quantum spacetime and supporting fundamental mechanical phenomena.
Non-Newtonian viscosity (shear-thinning)
Behavior of the spationic medium in which viscosity is high at low shear and decreases sharply when shear becomes extreme.
Cross law (viscosity)
Rheological law used to model the dependence of spationic-medium viscosity on shear rate, characterizing a shear-thinning regime.
Base viscosity η₀
Characteristic maximal viscosity value of the spationic medium in the low-shear regime, derived from Planck scales.
Effective viscosity η_eff
Dynamic viscosity value experienced by a given perturbation (wave, motion), depending on its frequency or shear rate.
Spationic inertia
Interpretation of inertia as an effect of the viscous resistance of the spacetime medium, rather than as an intrinsic property of matter.
Memory of motion
Capacity of the spationic medium to retain information about a prior state of motion through its internal viscosity.
Propagation of spationic waves
Transmission of an impulse or perturbation through differential sliding and local interactions between spations.
Maxwell viscoelastic model
Model linking viscosity, cohesion modulus, and relaxation time, used to estimate the viscosity of the spationic medium from Planck pressure and Planck time.
Dense kinetic estimate
Viscosity evaluation approach based on an analogy with an extremely dense gas, using density, characteristic speed, and exchange length.
Fundamental relaxation time
Minimal characteristic time (≈ Planck time) required for the spationic medium’s internal adjustment after a perturbation.
Spationic shear
Internal velocity gradient within the spation network, responsible for viscous dissipation and inertial effects.
Viscosity and speed limit (hypothesis)
Exploratory lead suggesting a possible link between shear-thinning in the spationic medium and the existence of a limiting speed.
Viscous attenuation of gravitational waves
Hypothetical effect of dissipation, due to the viscosity of the spationic medium, on the amplitude of gravitational waves.
Internal 6D topology (rheology)
Hypothesized link between the parameters of the viscosity law and the internal combinatorial connectivity of 6D cells.
Sub-spatial interactions
Fundamental interactions preceding the geometric structure of spacetime, directly linking spations at the 6D level and explaining non-local correlations of the quantum vacuum.
Sub-spatial
Qualifier designating a level of reality prior to, and deeper than, 4D spacetime, where relations are not mediated by distance or time.
Sub-spatial fabric
Continuous, non-local network linking all spations at the 6D level, supporting global exchanges of energy and information.
Sub-spatial entanglement
Form of entanglement resulting from unity of state in 6D between spations, independent of 4D spatial separation.
Unity of state (in Θ)
Principle according to which several entities perceived as distinct in 4D correspond to a single distributed state in Θ-space with six dimensions.
Θ (Theta)
Fundamental state-space with six internal dimensions, supporting the coherence of the Real and serving as the projective source of 4D spacetime.
Topological distance Δᵢⱼ
Separation measure between two spations in the 6D network, defined by the number of non-shared axes, independent of spatial metric.
Topological connection
Structural link between spations determined by the sharing of internal axes in 6D, governing the degree of correlation.
Emergent locality
Property according to which spatial locality appears as a macroscopic effect when the topological distance Δ becomes large.
Quantum vacuum (reformulated)
State of ultra-connected spationic foam, saturated with coherence and fluctuations, rather than an absence of substance.
Quantum bubbling
State of permanent fluctuations of the spationic network due to non-local sub-spatial interactions.
Spationic foam
Conceptual image describing the quantum vacuum as a dense, wave-like, fluctuating network of interconnected spations.
Entanglement = unity of state
Interpretive principle identifying quantum entanglement with an absence of ontological separation in Θ.
Topological length ξ
Characteristic parameter measuring the entanglement decay scale as a function of topological distance Δ in the 6D network.
Entanglement function I(Δ)
Hypothetical function describing the decay of non-local correlation with topological distance in Θ.
Ontological no-cloning
Interpretation of the no-cloning theorem as a direct consequence of the global constraint ρ·C = k applied to the 6D network.
Global conservation constraint (ρ·C)
Principle according to which the sum of density–coherence products over the network is conserved, forbidding duplication of states.
Projected locality
Phenomenal illusion of spatial separation resulting from the 4D projection of a unitary state-network in 6D.
Inflareaction
Contraction → overcompensation → overpressure → rebound → coherent expansion loop of the (spationic medium/Θ), generating form, energy, memory, and identity.
Closed inflareaction
Closure of the inflareactive rebound into a localized stationary mode, resulting in a stabilized overpressure (proto-stable excitation of the Θ medium).
Coherent rebound
Amplified but bounded response to a local contraction, producing structured expansion rather than dissipative relaxation.
Density overcompensation
Restoration of density temporarily exceeding equilibrium after local rarefaction, due to viscous delay and the global immanence constraint.
Spationic overpressure
Local overpressure of the spationic medium created by density compensation, capable of initiating a rebound and a propagation.
Stabilized overpressure
Localized stationary mode: an overpressure that does not disperse, stabilized by 6D structure, medium viscosity, and invariance ρ·C = kΦ; first form of stable excitation leading to a proto-particle.
Generative mechanism of form
Process by which a local perturbation becomes a persistent coherent structure (wave/node) via inflareaction.
Memory of motion (in Θ)
Capacity of the spationic/Θ medium to retain the dynamic state of a perturbation (inertia), linked to its extreme viscosity.
Immanence (constraint ρ·C = kΦ)
Global balance constraint imposing a non-linear readjustment of the field under any variation of density ρ or complexity C.
Instantaneous field compensation
Immediate restoration of a local rarefaction (absence of void) by inflow of CELA from the rest of the field in order to maintain immanence.
Density borrowing
Non-local transfer of density/CELA from the rest of the field into a contracted zone, inducing overpressure then rebound.
Non-linearity μ
Non-linear term arising from the expansion of C = k/ρ around ρ0 (dominant cubic term), responsible for the amplified but self-limiting rebound.
Cubic term μ(δρ)³
Effective cubic contribution in the functional/energy that closes the growth of the perturbation and makes the rebound bounded.
Taylor expansion of C(ρ)
Expansion of C = k/(ρ0+δρ) naturally revealing quadratic, cubic, quartic terms (asymmetry and saturation).
Energy functional (field ρ,C)
Effective energy describing gradients, δρ–δC coupling, and non-linearities (including μ), used to model relaxation and stationary modes.
Relaxation equations (ρ,C)
Return-to-equilibrium dynamics defined by gradient descent of the energy functional, under the constraint ρC ≈ k.
Spatial rigidity
Energy cost of gradients (terms in |∇ρ|², |∇C|²) limiting the spreading of an excitation and favoring localization.
Effective potential V(ρ)
Local potential (quadratic/cubic/quartic terms) derived from immanence, describing asymmetry and saturation leading to stationary solutions.
Asymmetry ε (cubic term of the potential)
Internal asymmetry term of the effective potential, derived from immanence (e.g., ε ≈ -kΦ/ρ0³), minimal signature of the non-symmetric character of the readjustment.
Quartic saturation
Quartic term of the effective potential ensuring closure and stability (prevents divergence, bounds amplitude).
Localized stationary mode
Stable, radial, spatially decaying, non-dispersive solution corresponding to a stabilized overpressure.
Cohérence node
Localized, persistent excitation of the Θ field, supported topologically by the 6D structure and the medium’s viscosity.
Proto-particle
Interpretation of a stabilized overpressure as the minimal step toward a particle: stable excitation of the Θ medium.
Natural frequency ωs
Characteristic internal frequency of a node/stabilized overpressure, linked to the mass–energy scale in the model.
Mass–energy link via ωs
Relation associating an effective mass with the natural frequency of an excitation (e.g., via m ~ (ħ/c²) ωs), serving as an interface toward particle interpretation.
6D → 4D passage (projected morphodynamics)
Reading in which inflareaction is the 4D projection of a 6D internal reorganization (hyperspheres/spations) preserving ρ·C = k.
Viscosity of the Θ medium (dynamic role)
Property of the spationic/Θ medium introducing inertia/delay, enabling overcompensation and conditioning the existence of a stationary mode.
Compression → rebound → coherent wave cycle
Characteristic dynamic sequence of inflareaction, potentially leading either to a propagating wave or to a stationary closure.
Inflareaction falsifiability (criteria)
Set of internal tests (absence of coherent rebound, absence of spatial coherence, resonances incompatible with ωs) indicating which parameters/formalism must be revised.
Protomatter
Regime of emergent “matter” where Θ-medium excitations (spations/overpressures) approach stability thresholds, preparing domain changes (e.g., transion).
Transion
Ontological 6D → 7D transition imposed when a spation can no longer maintain the invariant ρ·C = kΦ in 6D under extreme overpressure; a change of support domain (not a motion).
Transion threshold
Critical value (internal condition) beyond which 6D stability becomes impossible and transion is triggered.
Spation structural limit
Internal coherence bound beyond which a spation’s 6D configuration can no longer be maintained (transion triggering).
Maximum internal pressure p_max
Pressure limit compatible with a stable 6D configuration; beyond it, the invariant would require C < C_min, forcing the domain change.
Maximum density ρ_max
Critical density associated with the maximal-coherence threshold (reference to Θ/Planck scales) used to estimate p_max via p_max = ρ_max c².
Minimum complexity C_min
Lower bound on organizational complexity; if ρ increases to the point of requiring C < C_min to conserve ρ·C = kΦ, the 6D configuration becomes impossible.
Domain change (of ontological support)
Reconfiguration of a spation’s organizational support (6D → 7D) without translation/rotation in perceived space; a regime switch.
Transioned spation
Spation rearranged in the 7D domain (p > p_max), not representable/connectable as a 6D spation; “invisible” from the observable 6D network.
Critical state (transitional regime)
Regime p ≈ p_max where the structure becomes unstable/limiting before the effective switch to 7D.
Forced combinatorial substitution
Transion mechanism described as the replacement of one axis of a 6D triplet by axis 7: (a,b,c) → (a,b,7), imposed by the immanence constraint.
Internal axis 7 (label “7”)
Seventh internal axis added as an additional degree of freedom; “7” designates the axis, not a metric or a usual spatial dimension.
Domain A = C(6,3)
Set of possible 6D states of a spation (axis triplets chosen among 6), cardinality 20.
Domain B = C(7,3)
Set of states accessible in 7D regime (triplets among 7 axes), cardinality 35; introduces 15 additional configurations compared to 6D.
Additional 7D states (35−20=15)
New configurations accessible after transion, enlarging the combinatorial space of internal organization.
Active transion
Regime in which a transioned spation (6D→7D) maintains a dynamic effect in the 6D network: it generates a vacancy, a pressure gradient, and an organized inflow.
Real flow vortex
Stable structure of the velocity field (continuous flow) induced by a pressure gradient; it is neither a particle nor a trajectory of individual spations.
Inflow spiral
Inflow geometry characterized by a radial component toward the vacancy (v_r < 0) and a non-zero azimuthal component (v_θ ≠ 0).
6D vacancy
Transient depression created in the 6D domain after transfer of a triplet σ_{ijk} into 7D: local drop in density, extent ~ l_P, duration ~ t_P, filled by inflow.
Transient 6D depression
Operational synonym of 6D vacancy: local decrease of (ρ, p) in the 6D network, not assimilable to an absolute void.
Characteristic duration t_*
Typical time for filling a vacancy; minimal scale of the corpus, t_* ~ t_P.
Characteristic length l_*
Minimal spatial scale associated with the extent of a vacancy; l_* ~ l_P.
Pressure gradient ∇p ≠ 0
Flux-generating condition: pressure difference between neighborhood and vacancy (Δp > 0) inducing radial inflow and organizing the velocity field.
Δp (local pressure deficit)
Difference p_neighborhood − p_local > 0 created by the vacancy, driving the inflow.
Radial inflow v_r < 0
Velocity component directed toward the vacancy (inflow), resulting directly from Δp > 0.
Azimuthal component v_θ ≠ 0
Tangential component of the inflow; signature of the inflow spiral (imposed/emergent rotation in a viscous medium).
Broken symmetry (combinatorial imprint)
Local symmetry breaking inherited from the combinatorial orientation of the vanished triplet σ_{ijk}; it induces a preferred chirality and favors v_θ.
Combinatorial orientation (of triplet σ_{ijk})
Orientation information associated with the transioned triple-cell; it “marks” the vacancy and conditions the structure of the inflow.
Preferential chirality of the flow
Selection of a rotation sense of the vortex (left/right) resulting from local symmetry breaking; a property of the flow, not of a spation.
Minimal dissipative solution
Interpretation: the spiral is the most stable/least dissipative flow solution for an inflow in a viscous medium with broken symmetry.
Effective viscosity η_eff
Viscosity actually “seen” by the flow near the vacancy; it may be strongly reduced by shear-thinning (η_eff << η_0).
Shear-thinning
Non-Newtonian regime where viscosity decreases as shear increases (reference: Cross law), facilitating vortex establishment.
Viscous dissipation Φ_η
Dissipation term in the energy balance (pressure→kinetic conversion + losses), stabilizing the flow.
Pressure → kinetic conversion
Energy transfer: the work of −∇P on the flow feeds kinetic energy (v²/2), the remainder being dissipated (Φ_η).
Local energy balance (−∇P·v)
Energy relation expressing the conversion of pressure gradient into flow acceleration and dissipation.
Quasi-stationary regime
Approximation where filling is fast (τ_fill ~ t_P) and locally ∂P/∂t ≈ 0, ∇·(ρv) ≈ 0.
τ_fill
Time to fill a vacancy by inflow; taken as τ_fill ~ t_P.
Flux continuity ∇·(ρv) ≈ 0
Quasi-stationarity condition indicating a locally “conservative” flow in mass/effective density in the neighborhood.
Local gravitational analogy
Heuristic reading: the vacancy acts like a pressure depression that “attracts” neighboring spations, without positing an additional fundamental gravity.
Φ double-vortex
Collective structure in weak-flow regime: two conjugate counter-rotating vortices (four lobes), total kinematic angular momentum zero (L1 + L2 = 0).
Counter-rotating vortex
Vortex rotating opposite to another, ensuring mutual stabilization in the weak regime.
Kinematic angular momentum of the flow (L_fluid)
Angular momentum defined by the flow (∫ r × (ρv) dV); distinct from intrinsic spin.
L_fluid ≠ L_spin
Separation principle: the angular momentum of the viscous flow is not the Φ spin (quantized) of later stationary modes.
Unipolar vortex
Strong-flow regime where the double-vortex merges into a single (unipolar) vortex; non-reversible topological transition.
Topological fusion
Structural reorganization double-vortex → unipolar when Φ exceeds a threshold; described as deterministic and non-reversible.
Local cascade of transions
Collective process: the initial transion increases ∇p, triggering 2–4 neighboring transions; overlapping vacancies create an extended depression leading to the double-vortex.
Overlapping vacancies
Spatial superposition of several 6D vacancies, forming a broadened depression with preferred orientations.
Weak flow / strong flow (regimes)
Qualitative classification: weak Φ → stable double-vortex; strong Φ → fusion into a unipolar vortex.
Φ (flow intensity)
Parameter controlling simultaneous activation of inflows and the double-vortex → unipolar transition.
Φ_crit
Critical flow threshold beyond which unipolar fusion occurs: Φ > Φ_crit.
Estimate of Φ_crit
Order-of-magnitude relation: Φ_crit ~ η_eff · c / l_* (with η_eff reduced by shear-thinning near the vacancy).
Non-reversible transition
Irreversible character of the topological fusion (double-vortex → unipolar) once Φ > Φ_crit.
Upcoming quantification (cross-reference)
Structuring mention: precise quantification of regimes/thresholds is deferred to image038 (out of scope here).
Combinatorial axes associated with the transioned cluster
Markers (1–6) indicating correspondence with the 6D combinatorial structure (reference image022) used to read vortex orientation.
Collective 7D structures
First emergent dynamic structures in the 7D domain resulting from the activation of multiple inflows.
Fermion
Stable structure of the spationic field characterized by an organized internal vortex circulation, supporting a persistent mass.
Fermionic vortex
Internal spiral circulation of the spationic field constituting the dynamic architecture of a fermionic particle.
Internal spationic circulation
Organized, non-random motion of the spationic field within a particle structure, ensuring its coherence and stability.
Chirality
Orientation of the rotation sense of the internal vortex of a fermionic particle, taking two opposite values (s = ±1).
Circulation polarity
Fundamental direction of spationic flow in a fermionic vortex, distinguishing two strictly inverted configurations.
Electric charge (vortex origin)
Emergent property determined by the rotation sense of a fermion’s internal vortex, independent of its geometric structure.
Antiparticle
Fermionic configuration having the same internal structure as a given particle, but with inverted vortex chirality.
Particle structural identity
Invariance of a fermion’s internal structure regardless of the circulation direction of its spationic vortex.
Spationic field
Dynamic substrate of spacetime whose vortical organizations give rise to fermionic particles.
Vortex inversion
Change in the internal circulation direction of a fermionic structure, leading to charge opposition without changing form.
Associated static wave
Stationary deformation of the Φ field surrounding a double-vortex, intrinsically linked to the internal mode n, non-propagating and present even at rest.
Internal mode n
Discrete index characterizing the internal state of a double-vortex, determining spin, mechanical dephasing, and the associated spatial structure.
Internal phase shift Δφ = π·n
Discrete phase condition between the two vortices of a double-vortex, imposing the stable configurations of the Φ field.
Counter-rotating double-vortex
Internal structure composed of two vortices rotating in opposite directions, providing the dynamic support for fermions and half-integer spin modes.
Anisotropic pressure
Non-isotropic directional distribution of density/pressure around a double-vortex, resulting from internal phase shift and stabilized by immanence.
X-structure
Characteristic 2D projection of the static wave associated with mode n = 1, arising from an anisotropy of spherical-harmonic type ℓ = 1.
Spherical harmonic ℓ
Index describing the minimal angular complexity of the static deformation of the Φ field associated with a given internal mode.
Spatial memory of spin
Property by which the static wave preserves and manifests in space the orientation of a particle’s internal mode (spin).
Static configuration energy
Energy stored in the stationary deformation of the Φ field around a double-vortex, contributing to emergent mass.
Emergent mass
Inertial contribution arising from the configuration energy of the static wave associated with a given internal mode.
Isotropic mode n = 0
Internal configuration with no spatial anisotropy (ℓ = 0), generating no static wave and corresponding to zero spin.
Excited modes ℓ > 1
More complex angular configurations associated with higher n values, more energy-costly and less stable.
Neutrino
Particle associated with a weakly compact unipolar vortex (N = 1), electrically neutral, whose mass comes from a minimal configuration energy of the Φ field.
Open vortex
Vortex structure not closed on itself, characteristic of neutrinos, implying very low internal compactness and reduced interaction with fields.
Electrical neutrality
Absence of electric charge resulting from a vortex structure without opposable chirality or a counter-rotating double-vortex.
Closed vortex
Self-looped, compact vortex structure, typical of charged particles (electron, quarks), enabling the existence of an electric charge.
Vortex unipolarity
Configuration in which a single vortex is present (N = 1), without a counter-rotating pair, leading to strongly reduced energy and mass.
Frozen chirality
Internal spin orientation of a neutrino that cannot be inverted by electromagnetic interaction due to its neutrality.
Internal compactness
Measure of the degree of spatial concentration of the Φ-field deformation, inversely proportional to the scale ℓ_Φ and decisive for mass.
Configuration energy
Energy stored in the stationary deformation of the Φ field imposed by vortex structure (N, n, compactness), defining the rest mass.
Low neutrino mass
Direct consequence of an open unipolar vortex and extremely low compactness, yielding minimal configuration energy.
Simultaneous transit of spations
Coordinated passage of one or more spations through an open vortex, illustrating the neutrino’s weak interaction and transparency to matter.
Particle generations
Three stable classes within a same family (e.g., e, μ, τ) distinguished not by vortex structure (identical), but by three discrete levels of internal compactness of the Φ field.
Φ-compactness (levels 1Φ, 2Φ, 3Φ)
Discrete quantization of a vortex’s internal compactness, defined by the scale ℓ_Φ (effective coherence radius) and directly ordering masses and stabilities.
Coherence scale ℓ_Φ
Effective coherence radius around a vortex, controlling compactness (l_P/ℓ_Φ) and thus mass via configuration energy.
Stability minima E(ℓ_Φ)
Three local minima of the configuration potential/energy E(ℓ_Φ) making exactly three stable compactness states (1Φ, 2Φ, 3Φ) possible.
Mass hierarchy by compactness
Qualitative relation according to which, for fixed mode (n) and structure (N), mass increases as ℓ_Φ decreases: m(3Φ) ≫ m(2Φ) ≫ m(1Φ).
Lifetime hierarchy
Principle according to which stability decreases with compactness: 1Φ is the most stable, 3Φ the most unstable and short-lived.
First generation (1Φ)
Low-compactness state (large ℓ_Φ) yielding light, stable, frequent particles within a given family.
Second generation (2Φ)
Intermediate-compactness state (medium ℓ_Φ) yielding more massive, less stable particles within a given family.
Third generation (3Φ)
High-compactness state (small ℓ_Φ) yielding very massive particles, near instability and of short lifetime.
Compactness limit (beyond 3Φ)
Threshold beyond which no stable minimum exists: an over-compacted vortex becomes unstable and evolves toward a lower-energy state (decay).
Decay 3Φ→2Φ or 2Φ→1Φ
Transition from an overly compact state to a lower minimum, releasing energy and producing decay products (e.g., leptons + neutrinos).
Fourth stable generation (exclusion)
Falsifiable proposal: absence of a stable 4th level (4Φ) for charged fermions, since the potential E(ℓ_Φ) admits only three minima.
Dimensional flavor
Internal organization of a vortex defined by a triplet of dimensional axes (e.g., 1-2-3, 4-5-6) determining interaction possibilities, electric charge, and family membership.
Electron flavor (1-2-3)
Dimensional flavor based on the 1-2-3 axis triplet; any particle sharing one or more of these axes can interact electrically and carry charge.
Neutrino flavor (4-5-6)
Dimensional flavor based on the 4-5-6 axis triplet; sharing no axis with the electron flavor, it leads to zero electric charge.
Shared dimensional axes
Number of axes common to two dimensional flavors, controlling the degree of electromagnetic coupling and the value of emergent charge.
Emergent electric charge
Property resulting from partial or total overlap of a vortex’s axes with those of the electron flavor: integer charge if overlap is complete, fractional if partial, zero if no overlap.
Fractional charge
Charge value (1/3 or 2/3) appearing when a particle’s vortex shares only part of the axes of the electron flavor, typical of quarks.
Unified principle of Φ-vortex coherence
Unifying principle according to which mass, charge, spin, generation, and flavor derive from the geometric coherence of the internal vortex within the Φ fabric.
Geometric particle table
Correspondence table mapping each Standard Model particle to a discrete combination of internal geometric parameters (N, n, Φ-compactness, dimensional flavor).
Number of vortex branches (N)
Topological parameter indicating whether a particle is described by a unipolar vortex (N=1, neutrinos) or a double-vortex (N=2, charged leptons and quarks).
Internal mode n
Discrete index of a vortex’s internal mode, fixing the observed spin according to S = n/2 and conditioning the angular structure of the Φ field.
Φ-compactness
Degree of internal concentration of the vortex, quantized into discrete levels (1Φ, 2Φ, 3Φ), determining the mass and stability of particle generations.
Cosmological activation of flavors
Process by which different dimensional flavors become physically accessible over cosmological evolution, depending on field density and effective Φ-compactness.
Dimensional flavor
Specific organization of a particle’s internal vortex according to a triplet of spacetime axes, determining its interaction possibilities (charge, couplings).
Electron flavor (1-2-3)
Dimensional flavor configuration using axes 1-2-3, shared by the electron and particles able to carry an integer electric charge.
Neutrino flavor (4-5-6)
Dimensional flavor configuration using axes 4-5-6, disjoint from the electron flavor and associated with absence of electric charge.
Shared dimensional axes
Fact that two internal vortices use one or more common axes, a necessary condition for a non-zero electric interaction.
Emergent electric charge
Charge value resulting from the number of axes shared between a particle’s flavor and the electron flavor (0, 1/3, 2/3, or 1).
Fractional charge
Partial electric charge (2/3 or 1/3) appearing when the internal vortex shares only part of the axes of the electron flavor, typical of quarks.
Internal vortex
Vortical structure of the Φ field constituting the geometric core of a particle and supporting its properties (spin, charge, mass).
Interaction by flavor similarity
Principle according to which two particles can interact if their internal vortices share a common dimensional organization.
Geometric closure of flavors
Principle according to which the full set of possible dimensional flavors is entirely determined by the combinatorics of internal axes, without arbitrary additions.
Flavor as a fundamental parameter
Concept according to which dimensional flavor, along with N, n, and Φ-compactness, constitutes a fundamental parameter for particle classification.
Spationic gravitation
Interpretation of gravitation as a Φ-field rebalancing phenomenon in response to a local depression of spationic density, rather than an attractive force.
Spationic depression
Local decrease of density and pressure of the spationic field caused by the presence of a matter structure (stable vortex).
Φ-field rebalancing
Process by which the Φ field generates an internal flow to restore the invariant ρ·C = kΦ in the presence of a density gradient.
Spationic density flux (JΦ)
Effective current of Φ-field density induced by a gradient ∇ρ, responsible for the emergence of gravitational motion.
Effective gravitational pressure
Emergent pressure of the Φ field proportional to ρ·c², expressing the mechanical response of the Θ network to a spationic depression.
Emergent gravitational acceleration
Acceleration resulting from the pressure gradient of the Φ field, interpreted as the macroscopic manifestation of gravitation.
Emergent Newtonian regime
Low-gradient limit in which spationic rebalancing reproduces a 1/r² law identical to Newtonian gravitation.
Emergent gravitational constant (G)
Coupling constant resulting from the structural properties of the Θ network and the Φ field, derived as G = κΦ·DΦ·c².
Topological coupling γΘ
Dimensionless factor encoding the correspondence between the discrete dynamics of the Θ network and the emergent continuous metric, entering the expression for G.
Mass as minimal action
Interpretation of a particle’s mass as the minimal action of a stable vortex divided by c², directly linking mass and spationic structure.
Gravitation without force
Principle according to which body trajectories result from following the Φ-field flow and spationic curvature, without a force-type fundamental interaction.
Spationic black hole
Extreme region where all spation flavors are transferred out of 6D spacetime, producing a maximal depression of the Φ field.
Triplets σ_{ijk}
Elementary cells of the Θ network (C(6,3)=20), defined by three axes among six, serving as the combinatorial substrate of quantum interactions.
Axis overlap
Number of axes common to two σ triplets, used as a minimal geometric criterion to determine the existence and intensity of an interaction.
Geometric charge
Electric charge value defined by the number of axes shared with a reference triplet, according to Q = −N_shared_axes/3.
Reference triplet (electron)
Conventional σ triplet (1,2,3) used as the basis to define the relative charges of other particles in the geometric mapping.
Fractional charges
Values ±1/3 and ±2/3 arising directly from partial overlap (1 or 2 axes) between σ triplets and the reference triplet.
Geometric neutrality
Total absence of axes shared with the reference triplet, corresponding to zero charge (neutrino case).
Combinatorial electrostatic interaction
Interaction resulting not from an isolated triplet, but from the collective overlap of multiple triplets (e.g., quarks in a baryon) jointly covering the required axes.
Geometric mapping of charge
Combinatorial rule directly linking internal 6D structure (σ triplets) to observed electric-charge values, without explicit EM dynamics.
Axis-permutation invariance
Property by which a global permutation of axes 1–6 preserves all charge relations, indicating the conventional character of the reference choice.
Deferred quantification of EM forces (cross-reference)
Structuring note indicating that electromagnetic dynamics, the photon, Coulomb’s law, and Maxwell’s equations are treated later (series 060–067).
Strong force (spationic confinement)
Interaction resulting from the superposition and mutual constraint of vortex fields sharing common dimensional axes, producing a collective binding more energetic than the sum of isolated constituents.
Baryonic confinement
Stable bound state of multiple matter vortices (quarks) held together by an internal tension of the spationic Φ field, preventing individual separation.
Spationic tension
Internal resistance of the Φ field to the separation of highly coherent regions, manifested as an energy cost that increases with the distance between bound vortices.
Shared dimensional axes
Geometric condition in which multiple vortices possess common internal axes, enabling field superposition and the emergence of strong interactions.
Collective inflareaction
Energetic amplification resulting from the jostling and mutual recompression of multiple bound vortex fields, increasing the effective mass of the composite system.
Residual nuclear interaction
Finite-range attractive interaction between nucleons resulting from overlap of their spationic fields and induced Φ pressure gradients, enabling atomic nuclei cohesion.
Nucleonic spationic overlap
Partial superposition of the internal spationic densities of two nearby nucleons, generating a short-range attractive term in nuclear interaction.
Inflareactive Φ overpressure
Local increase of spationic pressure due to the immanence constraint ρ·C = kΦ during density overlap, producing a restorative attractive effective force.
Spationic pressure gradient
Spatial variation of the Φ-field pressure around baryonic structures, giving rise to an effective force between nucleons.
Effective nuclear range
Characteristic distance (~1–2 fm) over which residual nuclear interaction is significant, determined by the decay of spationic overlap and inflareaction.
Nuclear spationic potential
Effective function describing nucleon interaction energy as a combination of a spationic overlap term and an inflareactive term.
Baryonic tension
Confinement and internal rigidity effect of the Φ field within nucleons, conditioning the intensity and stability of residual nuclear interaction.
Quark alternation
Internal organization of u and d quarks within nucleons aiming to distribute dimensional flavors and avoid local accumulation of the same flux type, ensuring proton–neutron balance and cohesion.
Internal nucleon structure
Geometric and spationic configuration of protons and neutrons, based on quark triplets (uud, udd), 6D axis sharing, and internal coherence maintained by baryonic tension.
Quark axis sharing
Number of dimensional axes common between a quark and the electronic reference, determining its contribution to ρ and C within a nucleon.
Baryonic coherence
Internal equilibrium state of a nucleon resulting from quark spatial distribution and compliance with the invariant ρ·C = kΦ, conditioning stability and mass.
Baryonic triangle
Effective geometric arrangement of the three quarks of a nucleon forming a triangular structure under spationic tension, responsible for internal confinement.
Spationic tension σ
Effective rigidity of the Φ field within baryonic structures, imposing energy that increases with quark separation and ensuring their confinement.
Dynamic chromatic cycle
Hypothesis that the three possible internal orientations of a given quark triplet participate in a rapid cyclic permutation, associated with baryonic resonances.
Spations 0/3 (internal neutrino)
Spationic cells with no charge and no intrinsic density, arising from 6D combinatorics, playing a coherence-adjustment role for C in nucleon interstices.
Neutron–proton mass difference
Mass gap between neutron and proton interpreted as a consequence of axis sharing, coherence C distribution, and the ρ·C constraint within nucleons.
Electron capture
Weak nuclear process in which a proton captures an orbital electron and turns into a neutron with emission of an electron neutrino.
Weak conversion u→d
Internal transition in which an up quark transforms into a down quark under the weak interaction, changing the nucleon identity.
ρ·C equilibrium
Fundamental invariant imposing conservation of the density–coherence product during internal reorganizations of nucleonic structures.
Flavor 3/3
Dimensional organization associated with full electronic charge, characterizing the electron and the charged internal sectors of nucleons.
Flavor 0/3
Neutral dimensional organization with no electric charge, associated with neutrinos and collective modes expelled during weak transitions.
Electron neutrino
Collective 0/3-flavor state emitted during electron capture, carrying away energy, momentum, and excess coherence.
Internal tension σ_W
Locally increased rigidity of the Φ field in the proton’s internal region during electron penetration, triggering the weak transition.
Electroweak scale
Characteristic energy threshold (~10–100 GeV) above which weak conversions u→d or d→u become possible.
Internal electron penetration
Process by which a K-shell orbital electron crosses the proton’s 3/3 spationic layer and superposes with its internal structure.
Θ-pattern reorganization
Local rearrangement of internal combinatorial structures of the Θ network to preserve the ρ·C invariant during a weak transition.
Collective 0/3 emission
Mechanism by which an excess of coherence or neutral structure is expelled as a neutrino during an internal reorganization.
Global capture energy threshold Q
Overall energy condition including nucleon masses and electron binding energy determining whether capture is possible.
K-orbital electron capture
Preferred capture process involving a K-shell (1s) electron, due to its high probability density at the nucleus.
Proton–neutron transformation
Change of nucleon identity induced by u→d conversion and reorganization of internal flavors.
EC / β⁺ complementarity
Relation between electron capture and positron emission as two distinct routes of the same weak u→d reorganization.
Electrostatic force
Interaction resulting from redistribution of spationic flux around regions carrying a charge excess, manifesting as attraction or repulsion between poles.
Charge (internal orientation)
Geometric expression of the stable internal orientation of spationic flux carried by an elementary vortex, determining the sign and magnitude of charge.
Internal orientation of spationic flux
Internal alignment of a triplet σᵢⱼₖ relative to a reference triplet, governing the sign of electric charge.
Internal phase
Degree of internal orientation associated with a vortex’s spationic flux, whose sign determines charge polarity.
Reference triplet (1,2,3)
Internal configuration serving as a marker to define direct or inverted orientation of a charged vortex.
Spationic flux
Directional organization of spations in the substrate, whose redistribution underlies electrostatic phenomena.
Prepared field
Stable geometric structure induced by an isolated pole, characterized by a spationic flux orientation without force interaction.
Isolated pole
Configuration carrying a single charge (electron or proton) organizing spationic flux locally without producing a force.
Lines of force
Material chains of aligned spations under the effect of a charge, physically representing electric field lines.
Spationic chains
Successive alignments of spations (0/3 to 3/3) constituting electrostatic lines of force.
Spationic tension
Directional constraint imposed on the spationic substrate by a charge, orienting and stabilizing spationic chains.
Spationic readjustments
Successive micro-slippages of the spationic substrate enabling long-range propagation of a charge asymmetry.
Spationic cadence
Extremely high frequency of spationic readjustments required to transmit charge orientation in a discrete Real.
Spationic inertia
Tendency of the spationic substrate to maintain an alignment direction minimizing local variations of coherence.
Discrete Real
Ontological framework in which spacetime is made of spationic units readjusted sequentially.
Electric field (CdR interpretation)
Macroscopic manifestation of rectilinear spationic chains organized by a charge in the substrate.
Electrostatic attraction
Tendency of two regions carrying opposite charges to approach, resulting from closure of spationic chains and reduction of coherence gradients.
Electrostatic repulsion
Tendency of two regions carrying like charges to separate, due to congestion of spationic chains and increase of local coherence gradients.
Coherence rebalancing
Process by which the spationic substrate adjusts the distribution of density ρ and coherence C to minimize gradients induced by charges.
Electron-flavor spations
Oriented spations associated with electronic charge, whose alignment or mutual blockage governs electrostatic attraction and repulsion.
Spationic deficit
Local imbalance of spations of a given flavor, generating flux vectors seeking to realign or repel.
Spationic flux vectors
Preferred alignment directions of spationic chains between charged regions, responsible for electrostatic interactions.
Spationic chains
Continuous alignments of spations linking charges, able to close between opposite charges or congest between like charges.
Chain closure
Formation of closed spationic loops between opposite charges, reducing overall longitudinal flux tension.
Chain congestion
Excessive accumulation of spationic chains between like charges, incompatible with the invariant ρ·C and leading to repulsion.
Chain flux
Organizational count of spationic chains aligned around a charge, conserved across any closed surface.
Geometric 1/r² law
Spatial dependence of electrostatic interaction intensity imposed by conservation of chain flux over a spherical surface.
Invariant ρ·C
Fundamental relation linking spationic density and coherence, governing attraction and repulsion by minimizing gradients.
Principle of least tension
Tendency of the spationic system to evolve toward configurations reducing coherence and density variations.
Electrostatic force (CdR interpretation)
Macroscopic manifestation of coherence rebalancing between two poles via alignment or congestion of spationic chains.
Vectorial interactions
Mode of interaction between fields characterized by continuous flux, where attraction, repulsion, or disorder results from the relative orientation of their internal fluxes.
Continuous Φ flux
Stable, non-segmented configuration of spation alignment, in which substrate reorganization remains smooth and coherent.
Continuous flow
Dynamic regime in which spationic flux propagates without discontinuity or substrate slip-off.
Directional parameters (θ, φ, J)
Triplet of quantities describing the internal state of a continuous Φ flux: dominant orientation, internal phase, and reorganization intensity.
Orientation θ
Dominant internal axis of a continuous Φ flux, defined by its projection on the six-axis Θ structure.
Phase φ
Position of a Φ flux in its internal organizational cycle, distinguishing internal states even with identical orientation.
Flow rate J
Measure of the local intensity of spation reorganization along the dominant orientation of a Φ flux.
Directional compatibility
Situation in which two Φ fluxes have similar orientations, favoring alignment of spationic chains.
Phase opposition
Configuration in which two Φ fluxes have similar orientations but incompatible internal phases, preventing coherent closure.
Regime A (directional compatibility)
Interaction regime between continuous fluxes characterized by a decrease in coherence gradients and mutual stabilization.
Regime B (partial compatibility)
Intermediate regime where continuous fluxes reorganize locally without dominant attraction or repulsion.
Regime C (major directional opposition)
Regime in which continuous-flux orientations are nearly opposite, leading to local flux disorganization.
Mutual stabilization
State resulting from coherent alignment of two continuous Φ fluxes, reducing gradients of the ρ·C invariant.
Local flux disorganization
Loss of organizational coherence of a Φ flux when directional constraints prevent maintaining the ρ·C invariant.
Invariant ρ·C
Fundamental relation linking spationic density and organizational coherence in all stable configurations.
Discontinuous Φ flux
Flow regime in which Φ flux segments into packets separated by micro slip-off zones.
Continuous / discontinuous regime
Distinction between Φ-flux flow modes according to the substrate’s ability to follow the imposed reorganizations.
Variation timescale τ_variation
Characteristic interval between two successive internal reorganizations of Φ flux.
Substrate response time τ_substrate
Time required for the spationic substrate to maintain the invariant ρ·C during a reorganization.
Radial structure of the Φ vortex
Internal organization of a Φ vortex with a continuous-regime core and a discontinuous-regime periphery.
Flux segmentation
Partition of Φ flux into coherent packets separated by slip-off zones, without breaking the ρ·C invariant.
Micro slip-off zones
Local low-coherence regions appearing between packets of a discontinuous Φ flux.
Transverse reorganization
Redistribution of coherence C in a direction orthogonal to the longitudinal and radial directions of the flux.
Transverse magnetic effect
Emergent effect resulting from a discontinuous Φ flux, where interaction manifests perpendicular to the flow direction.
Birth of magnetism
Emergence of magnetic phenomena as a consequence of a Φ flux transitioning from continuous to discontinuous regime.
Transverse direction n
Preferred direction of coherence reorganization in a discontinuous Φ flux, orthogonal to the dominant directions.
Angular dependence sin θ
Qualitative relation linking magnetic-effect intensity to the angle between flux direction and source velocity.
Magnetic force
Physical interaction resulting from the relative orientation of vortices generated by electric currents in discontinuous regime.
Magnetism
Phenomenon of interaction between electric currents interpreted as an interaction between oriented flux vortices.
Electric current
Collective displacement of electrons in a conductor, interpreted here as an organized circulation of spationic flux.
Magnetic vortex
Vortical flux structure generated around a conductor carrying an electric current.
Discontinuous vortex
Vortex appearing in a non-continuous flow regime, characterized by segmentation into coherent units.
Vortex orientation
Directional characteristic of a vortex determining the interaction regime (attraction or repulsion) between currents.
Magnetic attraction between parallel currents
Attractive effect resulting from vortices oriented in the same sense around two conductors carrying parallel currents.
Magnetic repulsion between opposite currents
Repulsive effect resulting from vortices oriented in opposite senses around two conductors carrying antiparallel currents.
Internal spationic pressure
Qualitative quantity associated with the local density of vortex segments, governing attraction or repulsion between conductors.
Density of vortex segments
Relative measure of local concentration of vortex structures between two conductors.
Current interaction without magnetic poles
Description of magnetism involving neither poles nor magnetic charges, but only vortex orientation.
Magnetic flux circulation
Interpretation of electric current as a velocity integral of spationic flux along a closed contour.
Current intensity I
Physical quantity measuring the flow of electric charge in a conductor, here related to a circulation of spationic flux.
Force per unit length F/L
Physical expression describing the intensity of magnetic interaction between two parallel conductors.
Current–flux calibration
Proportional relation linking electric current intensity to the associated circulation of spationic flux.
Proportionality constant s_I
Factor linking classical current to spationic flux circulation, expressed from fundamental constants.
Planck length ℓ_P
Fundamental length scale used to express the calibration between current and flux.
Planck density ρ_P
Fundamental density entering the expression of spationic flux circulation.
Fine-structure constant α
Dimensionless constant characterizing the strength of electromagnetic coupling.
Von Klitzing resistance R_K
Quantum resistance constant defined as the ratio h/e².
Vacuum impedance Z₀
Electromagnetic constant of the vacuum linking permittivity and permeability.
Identity α = Z₀ / (2 R_K)
Exact relation between electromagnetic constants recalled for internal corpus coherence.
Electromagnetic wave
Spatial propagation of an alternation between directional field tension and flux rotation.
Spationic field
Organizational field supporting fluxes whose orientation and rotation can oscillate.
Spationic flux
Directional organization of the field around a particle, capable of variation and propagation.
Directional field tension (E)
Field state resulting from a change in flux orientation around a particle.
Flux rotation (B)
Rotational motion of spationic flux induced by directional field tension.
Field oscillation
Repeated alternation between flux orientation and associated rotation.
Electron-associated wave
Coherent oscillation of the Φ field induced by electron motion around the nucleus, supporting the stability condition of bound states.
Phase-closure condition
Requirement that the wave associated with a bound electron must close on itself after an integer number of cycles to maintain mode coherence.
Stable orbit
Bound configuration in which electron motion satisfies the phase-closure condition, ensuring persistence of the state without energy emission.
Orbit quantization
Discretization of bound states resulting from the fact that only certain phase closures (integer cycles) are compatible with stability.
Electronic level transition
Change of orbit when the stability condition is no longer satisfied, involving absorption or emission of a photon.
Photon emission / absorption
Process by which the electron exchanges energy with the field during a change of stable orbit.
Continuous Φ flux
Stable configuration of Φ flux in which spationic reorganizations are fast enough for the substrate to follow without slip-off, enabling coherent longitudinal interactions.
Directional parameters (θ, φ, J)
Set of quantities describing the internal state of a continuous Φ flux: dominant orientation θ, internal phase φ, and organizational flow rate J.
Directional compatibility of fluxes
Situation in which two continuous Φ fluxes exhibit compatible orientations and phases, allowing alignment of spationic chains and mutual stabilization.
Flux phase opposition
State in which two Φ fluxes share similar orientation but incompatible phases, preventing chain closure and inducing organizational tension.
Continuous-flow regime
Regime in which Φ flux imposes reorganizations faster than the substrate response time, ensuring spatial continuity of spationic chains.
Discontinuous-flow regime
Regime in which Φ flux segments into packets separated by micro slip-off zones, while respecting the invariant ρ·C.
Radial structure of the Φ vortex
Intrinsic organization of a Φ vortex with a continuous-flow core and a discontinuous-flow periphery.
Micro slip-off zones
Local low-coherence regions appearing between Φ-flux packets in the discontinuous regime, enabling substrate reorganization.
Transverse magnetic effect
Coherence rebalancing occurring perpendicular to the direction of discontinuous Φ flux, at the origin of magnetic phenomena.
Transverse direction n
Geometric direction orthogonal to Φ flux and to source motion, along which reorganizations responsible for magnetic effects occur.
Angular dependence sinθ
Qualitative relation linking magnetic-effect intensity to the angle between Φ-flux direction and source velocity.
Stable electronic orbit
Configuration in which the wave associated with electron motion closes on itself after an integer number of cycles, ensuring bound-state stability.
Phase-closure condition
Requirement that a wave associated with bound motion must have a total phase equal to an integer multiple of 2π to form a stable state.
Orbital transition
Change of electronic level resulting from violation of the phase-closure condition, accompanied by photon emission or absorption.
Electronic orbital
Stationary and stable field form associated with a bound electron, defined by energy and orientation rather than a classical trajectory.
Orbital superposition
Combination of several stable orbital forms enabling the formation of chemical bonds between atoms.
Magnetic force
Interaction resulting from the orientation and combination of Φ-flux vortices in a discontinuous regime, produced by coordinated charge motion (currents) and manifested as transverse attraction or repulsion.
Electromagnetic wave
Spatial propagation of a coupled oscillation between Φ-flux orientation (electric field) and transverse flux rotation (magnetic field) in a discontinuous spationic regime.
Photon
Minimal closed vortex of Φ flux, resulting from closure of a transverse field oscillation, carrying a coherent phase and propagating at constant speed.
Electronic orbit
Stable configuration of electron motion corresponding to a field wave that closes on itself after an integer number of cycles, governing energy-level quantization.
Electronic orbital
Stable field form associated with the electron’s spatial distribution, determined by energy and motion orientation, whose superpositions govern chemical bonding.
Inflareaction (photon propulsion)
Mechanism by which the spationic field reorganizes to fill the space released behind a propagating photon, creating a rear overpressure that pushes it forward.
Rear propulsion of the photon
Process by which photon advance results primarily from the reaction of the field behind it, rather than from a forward push.
Photon propagation speed
Velocity imposed on the photon by spacetime’s capacity for spationic reorganization, independent of any intrinsic photon inertia.
Spationic field reorganization
Local readjustment of spacetime spations enabling coherent propagation of a closed flux vortex.
Photonic reflection
Process by which a photon fails to match the local field flow and is reflected without internal modification, due to incompatibility of orientation or phase with the encountered structure.
Photonic guiding
Deflection or channeling of a photon’s trajectory imposed by organized field structure, without destruction of its internal coherence.
Photonic deployment
Transformation of a photon subjected to strong field compression, leading to opening of its closed vortex into two distinct open vortices.
Particle–antiparticle pair creation
Process by which a photon, in a strongly compressed field region, transforms into a material particle and its antiparticle through deployment of its vortex structure.
Photonic disassembly
Loss of internal stability of a photon traversing a region where field organization is saturated, leading to disappearance of the photon as a coherent entity.
Photon–photon annihilation
Process in which two photons of opposite phase mutually neutralize and convert into a particle–antiparticle pair.
Φ-field phase perturbation
Local variation of the internal orientation (phase) of the Φ field, temporarily modifying coherence C and triggering propagation to preserve the invariant ρ·C.
Coherence flux
Spatial transport of organizational coherence C induced by a local perturbation, enabling export of excess coherence to neighboring regions.
Coherence current
Quantity describing the directional flow of coherence C associated with propagation of a phase perturbation in the Φ field.
Electromagnetic wave (Maxwell limit)
Deployed, linear, open propagation of a Φ-field phase perturbation, valid when variations remain small and do not cross the closure threshold.
Phase-closure threshold (Δθ = 2π)
Critical geometric condition beyond which a phase perturbation can no longer dissipate as an open wave and closes into a stable vortex.
Quantized flux closure
Nonlinear process by which a Φ-field phase propagation closes on itself as an autonomous vortex once the Δθ = 2π threshold is reached.
Quantized photon (2Φ vortex)
Closed and stable Φ-field vortex resulting from electromagnetic-wave closure at the phase threshold, constituting the quantized entity described in QED.
Linear propagation regime
Dynamic regime of the Φ field in which phase perturbations are weak, superposable, and described by Maxwell’s equations.
Nonlinear closure regime
Regime in which phase-perturbation amplitude activates internal Φ-field couplings and favors formation of quantized closed structures.
Photon helicity (m = ±1)
Choice of closure direction of the photonic vortex around the propagation axis, corresponding to the two possible internal rotation orientations.
Invariant ρ·C
Fundamental relation imposing conservation of the product of spationic density ρ and coherence C in every stable region of the Real.
Photon coherence volume
Extended spatial region within which a photon’s phase remains correlated, allowing simultaneous compatibility with multiple interaction sites without energy localization.
Photonic coherence range
Characteristic spatial extension of the coherence C associated with a photon, defining the zone within which interaction is geometrically possible.
Phase matching
Condition under which the photon’s phase orientation and that of a local electron are compatible, determining effective interaction possibility.
Unique selection at absorption
Mechanism by which only one electronic site absorbs the photon among several compatible ones, due to a local dynamic instability linked to coherence.
Coherent substrate preparation
Transient state in which several sites are rendered compatible by diffusion of coherence C prior to any effective energy absorption.
Coherent reflection
Process by which a photon is re-emitted when phase matching with the encountered site is not satisfied, without loss of internal coherence.
Photonic guiding
Propagation of a photon through a region where Φ-field structure orients and channels the coherence zone without absorption.
Local geometric collapse
Dynamic process by which preparatory coherence concentrates onto a single site, leading to effective photon absorption.
Extended coherence zone (“here AND there”)
Qualitative description of a photon state whose coherence simultaneously covers several spatial regions prior to interaction.
Photon–electron compatibility criterion
Geometric condition combining photon coherence, electron coherence, and their relative dephasing, governing initiation of absorption.
Electromagnetic wave
Open and linear propagation of a Φ-field phase perturbation, resulting from coherent transverse oscillation of flux orientation, without closure into a quantized vortex.
Photon coherence volume
Extended Φ-field region in which a photon’s phase orientation remains correlated, enabling potential interaction at multiple sites without division of transported energy.
Double-slit interference
Phenomenon resulting from coherent superposition of Φ-field phase across multiple geometric paths, producing spatial modulation of interaction probabilities as long as coherence is preserved.
Phase matching
Geometric condition whereby local phase orientation of a photon’s Φ field and that of a material system are compatible, determining interaction possibility independently of mere spatial proximity.
Unique selection at absorption
Process by which, within an extended coherence volume, a single material site absorbs the photon once phase- and coherence-matching thresholds are reached, while other sites remain energetically unaffected.
Quantum entanglement
Correlated configuration of multiple Φ vortices sharing a common internal phase constraint inscribed in the substrate, producing non-factorizable correlations at large distance without signal exchange.
Entangled photons
Two photons produced by the same creation process, described in CdR as two manifestations of a single Φ structure whose internal phases remain geometrically linked.
Entanglement zone
Extended region of the Φ substrate in which a correlated phase constraint between multiple vortices is maintained, enabling EPR correlations over macroscopic distance.
Correlated internal phase
Geometric relation linking internal phases of two entangled vortices (e.g., φ_A + φ_B = φ₀), underlying observed quantum correlations.
Bell test
Experimental setup revealing correlations incompatible with any classical hidden-variable theory, interpreted in CdR as expression of a non-factorizable Φ structure.
Spooky action at a distance
Historical term designating EPR correlations, reinterpreted in CdR not as distant influence but as shared geometry of the Φ substrate.
Photon
coherence range Property whereby a photon extends over a coherence volume in which its phase orientation remains correlated, allowing distributed presence “here and there” as long as coherence is preserved.
Coherence zone (Z_coh)
Spatial region of the Φ field in which photon-associated coherence remains above a threshold, allowing multiple potential interactions before unique absorption.
Phase matching
Local geometric condition under which photon–electron interaction can occur only if their internal phase orientations are compatible, regardless of spatial distance.
Unique selection at absorption
Mechanism by which, among several compatible sites within the coherence zone, only one effectively absorbs the photon via positive feedback, others returning to their initial state.
Double-slit interference (CdR reading)
Interpretation according to which what passes simultaneously through both slits is the Φ-field phase coherence, not the photon as a localized entity; interference disappears when coherence is constrained.
Quantum entanglement (CdR)
Configuration in which two photons are described as manifestations of a single Φ structure, linked by a global phase constraint inscribed at creation.
Entanglement zone (Z_int)
Persistent topological structure of the Φ field linking two entangled systems, responsible for observed correlations independently of distance, without energy or signal transfer.
Structural non-locality
Type of global correlation inscribed in Φ-field geometry, distinct from any dynamic or causal influence, explaining Bell violations without superluminal action.
Bell test (CdR interpretation)
Experiment showing that measured correlations between entangled systems arise from a structural phase constraint in Φ, not from local hidden variables or distant influences.
Photon coherence volume
Extended region of the Φ field in which photon-associated phase θ and coherence C remain correlated, enabling simultaneous compatibility with multiple interaction sites without energy division.
Unique selection at absorption
Process by which, within an extended coherence zone, a single electronic site locally satisfies phase- and coherence-matching conditions, leading to effective photon absorption.
Quantum entanglement (CdR)
Non-factorizable correlation between multiple photons interpreted as manifestation of a common geometric constraint inscribed in the Φ substrate, linking their internal phases from creation.
Bell test
Experimental protocol demonstrating correlations incompatible with any local classical model, interpreted in CdR as measurable expression of a global Φ-phase structure.
GHZ states
Multi-photon entanglement states characterized by a single global phase constraint, producing maximal correlations but strong fragility to loss or decoherence of one particle.
W states
Multi-photon entanglement states in which phase constraint is distributed across several equivalent branches, providing increased robustness to losses and decoherence.
Cluster states
Entangled states defined by a network of local phase constraints between photons, whose robustness and decoherence dynamics depend on the topology of the underlying graph.
Multi-photon entanglement
Extension of quantum entanglement to N photons, described in CdR by global or distributed topological constraints in Φ, governing correlations and their evolution with distance.
Electromagnetic wave
Propagation of an oscillation of Φ-field orientation arising from a discontinuous regime, where alternation between directional tension and flux rotation travels through space without vortex closure.
Photon coherence volume
Extended spatial region in which a photon’s internal phase remains correlated, enabling “here and there” effects as long as coherence is conserved.
Selection by phase matching
Principle according to which photon–electron interaction depends on local compatibility of Φ-field phase orientations, not on spatial proximity alone.
Quantum entanglement (CdR)
State in which multiple photons are described as manifestations of a single Φ structure, their internal phases linked by a common geometric constraint inscribed in the substrate.
Bell test
Set of experiments showing correlations between entangled systems exceeding classical local limits, interpreted in CdR as direct expression of a global Φ geometric constraint.
GHZ state
Multi-photon entanglement configuration based on a single global constraint, producing strong correlations but high fragility to loss or decoherence.
W state
Multi-photon entanglement configuration in which correlation is distributed over multiple redundant branches, providing enhanced robustness against loss and decoherence.
Quantum eraser
Device in which path information is removed by phase reconditioning in Φ, allowing conditional reappearance of interference without retrocausality.
Quantum teleportation
Process by which the state of a system is locally reconstructed at a distance using a pre-existing Φ structure and classical communication, without transport of matter or violation of causality.
Quantum cryptography
Key-distribution method exploiting entanglement and decoherence induced by any interception, interpreted in CdR as a measurable deformation of Φ structure.
CdR cosmology
Description of the Universe as a continuous dynamic process emerging from CELA, where space, time, and matter arise from a single fundamental field.
CELA
Fundamental field from which space, time, and matter emerge in CdR cosmology.
Immanence invariant ρ·C = kΦ
Fundamental relation organizing the dynamics of the Real and governing cosmological manifestations.
Φ field
Fundamental substrate whose internal variations give rise to space, time, and matter.
Dimensional transition 6D→7D
Structural passage involved in cosmological evolution and formation of stable matter.
Cosmological cycle
Global sequence of expansion, contraction, and rebound describing the multidimensional evolution of the Universe.
Relativity of material time
Variation of the rate of material proper time as a function of velocity and local field conditions.
Fundamental real time
Elementary cadence arising from internal transformations of CELA, distinct from time experienced by matter.
Material time
Proper time of material systems, resulting from internal mechanisms of matter.
Time dilation
Slowing of material time associated with velocity or proximity to matter.
Spacetime flow
Process by which spacetime reorganizes around matter and moving systems.
Spacetime curvature
Local deformation of spacetime associated with the presence of matter and time dilation.
Cosmic cycle
Global process in which the Universe undergoes successive phases of contraction, rebound, and expansion, without absolute beginning or end.
Great Rebound
Turning point of the cosmic cycle at which Universe density reaches a maximum, triggering reversal from contraction to expansion.
Cosmic contraction
Phase of the cosmic cycle during which spacetime folds inward and average Universe density increases.
Cosmic expansion
Phase of the cosmic cycle during which the Universe dilates and average density decreases through deployment of dimensional axes.
Dimensional axes
Degrees of dimensional freedom effectively available for spacetime organization at a given moment of the cosmic cycle.
Internal density
Quantity characterizing the global state of the Universe, determining transitions between contraction, rebound, and expansion phases.
5D phase
Cosmological regime near the rebound in which the Universe uses only five effective dimensions.
5D→6D transition
Dimensional passage during which spacetime emerges in six effective dimensions after the rebound.
6D framework
Dimensional organization of spacetime made possible after the rebound, prerequisite for massive formation of complex structures.
Proto-matter
Early state of matter appearing after establishment of the 6D framework, prior to formation of stable matter.
Transions
Entities or processes appearing massively after establishment of the 6D framework, participating in organization of proto-matter.
Density / complexity relation
Relation governing duration and amplitude of cosmic cycles, linking evolution of internal density to organizational complexity of the Universe.
Inter-cosmic deformations
Geometric processes by which a 6D cosmic domain is included and integrated into a larger 7D domain, producing collective effects on original spacetime.
Transion (cosmic)
Process by which a cosmic domain A does not disappear but becomes included as an internal core of cosmic domain B during a dimensional change.
Cosmic domain
Region of spacetime characterized by a given number of effective dimensional axes and its own internal interactions.
Activation of the seventh dimensional axis
Opening of an additional dimensional axis that expands existing spacetime without creating a separate universe.
6D → 7D inclusion
Geometric relation in which a 6D spacetime becomes an internal subspace of an expanded 7D spacetime.
Three-dimensional charge combinations
New internal configurations of spations made possible by availability of an additional dimensional axis.
Continuity of the Φ field
Property by which different cosmological domains remain connected despite distinct internal interactions.
6D collapsed objects
Highly compressed structures observed in 6D whose behavior changes when interpreted from a 7D domain.
Curvature inversion
Geometric sign change whereby a collapse observed in 6D corresponds to an expansion or outflow in 7D.
Collective deformations of the 6D domain
Global effects produced on 6D spacetime by combined action of charges originating from an expanded cosmic domain.
Inter-domain coupling membrane
Effective structure through which included cosmological domains interact, generating confinement or quantum constraint.
Geometric confinement
Effect by which a spatial domain remains localized not by direct material interaction, but by geometric constraint imposed by surrounding spacetime organization.
Domain A
Local region in which residual spations and matter particles remain grouped and coherent, forming a stabilized zone within a larger space.
Domain B
Larger domain in which spacetime is organized over a broader dimensional set, imposing geometric constraint on domain A.
Dimensional retention
Mechanism by which scale and dimensional-organization differences between two domains keep matter localized without direct interaction.
Dimensional inclusion 6D→7D
Geometric relation in which the 6D domain is included within a 7D metric space, serving as a basis for gravitational interpretation.
Global coherence perturbation
Temporal variation of Φ-field coherence at the 7D scale, triggering wave-like dynamics.
Variable spationic density
Quantity describing distribution of spations whose temporal variation initiates Φ-field perturbations.
Coherence wave equation
Dynamic relation derived from the Φ field describing propagation of spationic-density perturbations.
Infinitesimal metric variation
Local, low-amplitude modification of the emergent metric induced by coherence oscillations.
Gravitational waves
Propagating oscillations of Φ-field coherence manifesting as metric perturbations and observed experimentally.
Speed c
Propagation speed of coherence perturbations associated with gravitational waves.
LIGO/Virgo
Experimental facilities cited as observing gravitational waves corresponding to the described perturbations.
Anthropic principle
Questioning of the apparent suitability of physical constants for emergence of complex structures and life, here reinterpreted without prior fine-tuning.
Fine-tuning
Expression designating the idea that certain physical constants must be precisely adjusted to allow existence of complex structures.
Immanence constraint ρ·C = kΦ
Equilibrium relation linking spationic density and internal field coherence, presented as organizing principle of physical constants.
Physical constants
Fundamental quantities (limit velocities, charges, masses, coupling ratios) appearing as stable solutions of the ρ·C constraint.
Coherence attractors
Stable Φ-field configurations toward which dynamics tends by minimizing internal coherence tensions.
Network of interconnected constraints
Description of the Φ field as a set of non-local dependencies structuring selection of stable states.
Ordered dynamic forms
Emergent structures such as spirals, coherent networks, or self-similar organizations resulting from field dynamics.
Complex dynamical systems
Systems exhibiting both complexity and organization, favored for their ability to dissipate tensions while remaining coherent.
Structural attractors
Organizational tendencies guiding field dynamics without imposing a unique state or suppressing possible bifurcations.
Will
Capacity for internal orientation of an organized system among several possible states, interpreted as a local modality of CELA dynamics.
Psychophysical organization
Characterization of the Real’s dynamics as integrating both physical constraints and non-mechanical internal orientations.
Structure of possibilities
Set of accessible configurations oriented by attractors without strict determination.
Circulation of CELA
Process by which CELA expresses and orients itself through its own organizational structures.