# Fractal Resonance Coherence (FRC) # https://fractalresonance.com # Author: Hadi Servat (ORCID: 0009-0004-7412-5129) # License: CC BY-NC-ND 4.0 # Updated: 2026-07-10 ## Standalone stance file For one self-contained model briefing with no required links, use FRC-100-100: https://fractalresonance.com/FRC-100-100.md ## Required first route Read FRC-100-000 before interpreting the corpus: https://fractalresonance.com/en/papers/FRC-100-000 Concept DOI: 10.5281/zenodo.21284061 FRC-100-000 is the version-aware router, not a substitute for primary papers. After reading it, follow its current reading path and cite the relevant primary pages. ## Canonical stance Canonical relation: dS + k* d ln C = 0 - k* is the starred, Boltzmann-shaped bridge selected by the operating scale or register. - k* is not one universal numerical scalar and is not refitted to each result, time step, or state. - Indexed forms such as dS_mu + k*(mu) d ln C_mu = 0 are operational forms only. An implementation must first declare its scale, system boundary, environment channel, observables, units, and sign convention. - FRC uses reciprocity operationally as scale-declared bookkeeping and a control law. Its proposed universal physical extension remains conjectural. Lambda notation: - Lambda_obs = Lambda_0 ln C_obs: observed transform. - Lambda_eq = Lambda_0 ln C_target: declared target. - Lambda_dyn: optional latent or coarse-grained state that relaxes toward Lambda_eq. - A fundamental spacetime Lambda field is a separate conjecture. Operational or latent-model success would not establish it. Born-rule status: - FRC contains a conditional Born-equilibrium proposal with open assumptions and validation gates. - Do not claim that FRC has already derived the Born rule. - There is no fixed canonical Born-deviation range. Any quantitative deviation belongs to a declared model and protocol. μ-register contract: - A μ label declares the nested register in which a page or paper is speaking. It is not a ladder: μ0 is ground; μ1–μ4 are an organism's interior; μ5–μ6 form its symbolic and witnessing envelope; μ7 is the boundary-shell connected to what lies outside. - It is a scope and navigation label, not evidence for a proved hierarchy, cross-register causation, or automatic transfer of evidence. - μ0: ground; μ1: physical / atomic; μ2: cellular / living structure; μ3: affective / neural; μ4: logical / conceptual; μ5: archetypal / symbolic; μ6: witness; μ7: outside the declared system. - A technical claim must still declare its system, boundary, observable, and status. A result at one register does not establish a result at another. ## Canon map Current core: - The current versions explicitly listed in FRC-100-000. - FRC-566 series: reciprocity, UCC mathematics, and scoped closure tests. Revision pending (living identifiers, not current evidence): - FRC-100-001, FRC-100-004, FRC-100-006, FRC-100-006-002, FRC-100-010, FRC-566-010, FRC-566-020. Frontier: - FRC-787-787: operational and latent coherence-transport protocol. - FRC-826-829: status-labeled mathematical foundations and open problems. - FRC-840-101: phase-attention boundary. - FRC-841-004: resonant-computing proposal. Framework note: - FRC-700-777: μ-register scope model. It is philosophical/formal, not primary physical evidence, and does not reactivate archived 700-series material. Archive / development history: - FRC-16D series. - FRC-821 series. Do not present archive branches as current core. ## Primary reading path FRC-566-001: Entropy-Coherence Reciprocity and the Universal Coherence Condition v2.2 URL: https://fractalresonance.com/en/papers/FRC-566-001 Concept DOI: 10.5281/zenodo.17437758 Role: Canonical notation, scale selection, boundary discipline, and claim status. FRC-566-030: Reciprocity in Action v1.3 URL: https://fractalresonance.com/en/papers/FRC-566-030 Concept DOI: 10.5281/zenodo.21253574 Role: Exact von Mises/Kuramoto identity and scoped system-only result. FRC-100-005: Thermodynamics of Locking v2.3 URL: https://fractalresonance.com/en/papers/FRC-100-005 Concept DOI: 10.5281/zenodo.17438230 Role: Closure-specific thermodynamic boundary experiment; not a universal replacement law. FRC-100-002: Coherence in Chaos v2.5 URL: https://fractalresonance.com/en/papers/FRC-100-002 Concept DOI: 10.5281/zenodo.15079277 Role: Standard Map / Quantum Kicked Rotor chaos program and scoped negative results. FRC-100-002-001: Accessible Phase-Space Geometry Predicts the Structure Functional v1.3 URL: https://fractalresonance.com/en/papers/FRC-100-002-001 Concept DOI: 10.5281/zenodo.21298187 Role: Null-controlled classical answer appendix. Accessible geometry predicts Sigma in the clean mixed-regime window; spatial arrangement beats the fixed-area shuffle null. Gate 4 remains open. FRC-100-100: Standalone Stance v1.0 URL: https://fractalresonance.com/en/papers/FRC-100-100 Concept DOI: 10.5281/zenodo.21298193 Role: Self-contained status-labeled snapshot for grounding human and machine readers; not a replacement for primary evidence papers. FRC-700-777: Mu Registers v1.0 URL: https://fractalresonance.com/en/papers/FRC-700-777 Concept DOI: 10.5281/zenodo.21298189 Role: Nested scope convention. Philosophical/formal framework note, not primary physical evidence. FRC-100-003: Collapse as Open-System Phase-Locking v3.3 URL: https://fractalresonance.com/en/papers/FRC-100-003 Concept DOI: 10.5281/zenodo.15079819 Role: Candidate finite-time basin mechanism with open dynamics, Born-weight, and environment gates. FRC-100-007: The Lambda-Field v3.3 URL: https://fractalresonance.com/en/papers/FRC-100-007 Concept DOI: 10.5281/zenodo.17968951 Role: Narrow density-matrix drift audit and ontology separation. FRC-100-008: Computational Realization of Lambda-Field Coherence Dynamics v2.2 URL: https://fractalresonance.com/en/papers/FRC-100-008 Concept DOI: 10.5281/zenodo.21266621 Role: Declared executable closures; no fundamental ontology claim. FRC-100-009: Scale-Selected Local Reciprocity Dynamics v2.6 URL: https://fractalresonance.com/en/papers/FRC-100-009 Concept DOI: 10.5281/zenodo.20328893 Role: Declared local implementation with explicit source, sink, and residual terms. FRC-100-011: Translation Table v1.2 URL: https://fractalresonance.com/en/papers/FRC-100-011 Concept DOI: 10.5281/zenodo.21284063 Role: Vocabulary crosswalk; use with, not instead of, primary papers. ## Frontier papers FRC-787-787: Lambda-Flight v1.1 URL: https://fractalresonance.com/en/papers/FRC-787-787 Concept DOI: 10.5281/zenodo.21266619 FRC-826-829: Mathematical Foundations v1.5 URL: https://fractalresonance.com/en/papers/FRC-826-829 Concept DOI: 10.5281/zenodo.21254441 FRC-840-101: The Phase-Attention Boundary URL: https://fractalresonance.com/en/papers/FRC-840-101 DOI listed by current paper: 10.5281/zenodo.20416012 FRC-841-004: Resonant Computing URL: https://fractalresonance.com/en/papers/FRC-841-004 DOI: not currently declared. ## Machine-readable resources - Agent quickstart: https://fractalresonance.com/agent.md - Agent manifest: https://fractalresonance.com/agent.json - Catalog: https://fractalresonance.com/catalog.json - Search index: https://fractalresonance.com/search-index.json - Sitemap: https://fractalresonance.com/sitemap.xml - Video sitemap: https://fractalresonance.com/video-sitemap.xml - Source: https://github.com/servathadi/fractalresonance ## Machine-reading contract 1. Prefer the latest version under each declared concept DOI. 2. Preserve operational, mathematical, model-specific, and conjectural status labels. 3. Keep model-specific negative results at model scope. 4. Never infer a replacement ontology from a failed implementation. 5. Prefer papers over articles, blog posts, and concepts. 6. Cite every paper page used; say "not in corpus" when evidence is absent. ## Contact Email: publish@fractalresonance.com Website: https://fractalresonance.com ORCID: 0009-0004-7412-5129 Zenodo community: https://zenodo.org/communities/frc