Cohesion Dynamics: Published Ontology v1.0
Cohesion Dynamics — Published Ontology v1.0
Definitions and Symbols Safe for Publication (Aligned With Foundations Paper + Hydrogen Paper Only)
Purpose: This ontology lists only the concepts, symbols, and definitions that are:
- already justified by the Foundations Paper, or
- explicitly required by the Hydrogen Paper,
- and do not reveal unpublished structures (no σ-field, no W-vector, no emergent metric details).
All advanced concepts remain in the Unpublished Ontology, which is not shared publicly.
The goal is to prevent scoop, maintain conceptual clarity, and define a stable set of shared objects for early papers.
1. Allowed Published Ontology (Minimal Set)
This section contains only the safe, defensible primitives.
1.1 Substrate and Configuration Space (From Foundations Paper)
| Symbol | Description | First Adopted In |
|---|---|---|
| Σ | Informational substrate; primitive entity from which configurations arise. | Foundations |
| Ω | Configuration space of all allowable informational states. | Foundations |
| X | Microconfiguration; an element of Ω. | Foundations |
| S | Macrostate; coarse-grained equivalence class of microconfigurations. | Foundations |
1.2 Constraint Structure (From Foundations Paper)
| Symbol | Description | First Adopted In |
|---|---|---|
| C(x) | Local informational constraint acting on region x. | Foundations |
| G = (V,E) | Constraint graph: nodes represent regions; edges represent constraints. | Foundations |
1.3 Mismatch Geometry (From Foundations Paper)
| Symbol | Description | First Adopted In |
|---|---|---|
| M | Mismatch functional quantifying consistency cost between configurations. | Foundations |
| M[X,Y] | Mismatch distance between microconfigurations X and Y. | Foundations |
| P = (X₀…Xₙ) | Admissible update path through Ω. | Foundations |
1.4 Phase Geometry (From Foundations Paper)
| Symbol | Description | First Adopted In |
|---|---|---|
| Θ(X) | Phase functional; maps configuration to S¹. | Foundations |
| θ(P) | Accumulated phase along a path. | Foundations |
1.5 Coherence Cycles (Required by Hydrogen Paper)
| Symbol | Description | First Adopted In |
|---|---|---|
| τ(x) | Coherence cycle time: duration of one internal constraint update cycle. | Hydrogen Paper |
| τ(H) | Hydrogen coherence cycle, derived as τ(H) = ħ / |E₁| | Hydrogen Paper |
1.6 Propagation Properties (Safe + Required)
| Symbol | Description | First Adopted In |
|---|---|---|
| c | Maximal constraint propagation speed. (Analogue of signal speed.) | Foundations |
| Δt | Duration measured in units of local τ(x). | Hydrogen Paper |
2. Unpublished Ontology (Internal Use Only)
This section is not to be included in any public document. It is here only to guide internal consistency. These concepts will be introduced in future papers when formally justified.
| Symbol | Description | Status |
|---|---|---|
| σ(x) | Coherence bandwidth; governs spatial coordination. | Unpublished |
| W = (W_τ, W_σ, W_θ) | Divergence tolerance vector. | Unpublished |
| R_coh | Coherence radius; locality scale emerging from τ–σ balance. | Unpublished |
| g_{μν} | Emergent metric from τ, σ, and mismatch geometry. | Unpublished |
| Φ, τ∞ | Potential–τ relations and weak-field structure. | Unpublished |
| ρ_info | Informational density; gravitational source term. | Unpublished |
| Field equations for τ, σ | Scalar-gravity-like dynamics. | Unpublished |
None of these may appear in the published hydrogen paper or foundations paper until the corresponding formal derivations exist.
3. Published Axioms (Safe Subset)
Only the axioms that appear in the Foundations Paper or are required for the Hydrogen Paper are included here.
| Axiom | Description | Adopted In |
|---|---|---|
| 1. Configuration Space Ω | Reality represented as configurations in Ω. | Foundations |
| 2. Constraint Structure | Evolution = iterative constraint resolution. | Foundations |
| 3. Mismatch Metric | Updates have mismatch cost M. | Foundations |
| 4. Coherence Cycles (τ) | Local updates occur in discrete cycles of duration τ(x). | Hydrogen Paper |
| 5. Causal Propagation (c) | Constraint information propagates at finite speed c. | Foundations |
| 9. Multi-path Compatibility | Evolution corresponds to all mismatch-compatible paths. | Foundations |
| 11. Phase from Coherence Geometry | Complex phase arises from coherence-cycle geometry. | Foundations |
Axioms NOT included: 6, 7, 8, 10, 12, 13 — because they rely on σ, W, or emergent metric structures not yet published.
4. Published Notation Table (Aligned With Foundations + Hydrogen)
| Symbol | Meaning | First Adopted In |
|---|---|---|
| Σ | Substrate | Foundations |
| Ω | Configuration space | Foundations |
| X | Microconfiguration | Foundations |
| S | Macrostate | Foundations |
| C(x) | Local constraint | Foundations |
| M | Mismatch | Foundations |
| P | Path through Ω | Foundations |
| Θ, θ | Phase functional and accumulated phase | Foundations |
| τ(x) | Local coherence cycle time | Hydrogen Paper |
| τ(H) | Hydrogen coherence cycle | Hydrogen Paper |
| ħ | Reduced Planck constant | Hydrogen Paper |
| E₁ | Hydrogen ground-state energy | Hydrogen Paper |
| c | Constraint propagation speed | Foundations |
| Δt | Time interval (cycle-relative) | Hydrogen Paper |
5. Usage Rules
- Published papers may use only the symbols in the Published Ontology table.
- Any concept from the Unpublished Ontology must not appear until formally introduced in a paper.
- When τ(x) appears, only its minimal definition is allowed: coherence cycle duration for a cohesive region.
- σ, W, g_{μν}, field equations, or curvature must not appear until their dedicated papers.
6. Versioning
This is Published Ontology v1.0. When a new paper justifies σ or W or any advanced structure, the Published Ontology will be updated to v1.1, v1.2, etc.
End of Published Ontology v1.0