Admissibility Physics: An Executable Constraint Framework and Constants Map - Evidence for a Shared Constraint Structure Across Physical Domains

Duplicate record. The canonical deposit for this paper is APF Engine — Admissibility Physics: An Executable Constraint Framework and Constants Map (DOI 10.5281/zenodo.18529115). This record is retained because published Zenodo DOIs cannot be removed; please cite the canonical record. Zenodo Release — Paper 59: An Executable Constraint Framework and Constants Map v2.0 Title Admissibility Physics: An Executable Constraint Framework and Constants Map v2.0 — Single-Axiom Reduction and Crystal Analysis Authors E. S. Brooke Description Paper 59 v2.0 presents the Admissibility Physics Engine (v3.7) together with a Complete Constants Map: a systematic, auditable accounting of 54 fundamental physical quantities across gauge structure, matter content, spacetime, electroweak relations, cosmology, gravity, and quantum structure. Every quantity is labeled by derivation status, regime dependence, and falsifiability. The engine implements finite enforceability and non-additive composition as executable constraints — admissibility checking, not parameter fitting. What's new in v2.0 Single-axiom reduction. The framework now formally reduces to one axiom plus two definitions: One axiom: A1 — Finite Enforceability Two postulates: M (multiplicity: |D| ≥ 2), NT (non-triviality: heterogeneous costs) Derived: A3 (locality) via L_loc, L_nc (non-closure) via A45, A4 (irreversibility) via L_irr, L_col (collapse) via A45 The hierarchy is: 1 principle → 1 axiom + 2 postulates → 3 operational axioms → 5 operational axioms. Each level is a different resolution view of the same structure. No level contradicts any other. Import category emptied. All mathematical imports (Kochen-Specker, GNS, Skolem-Noether, Lovelock, etc.) reclassified as pure mathematical infrastructure. The coupling constants α(M_Z) and α_s(M_Z) upgraded from C_import to P_structural — the RG mechanism is now derived (T20–T21) and β-coefficients are experimentally confirmed to 10⁻⁴. Enforcement Crystal v2. The theorem dependency DAG has been fully reconstructed from the v3.7 engine: Metric v1.0 (5-axiom) v2.0 (3-axiom) v2.0 (1-axiom) Total nodes 56 61 63 Total edges 164 189 195 Max depth ~13 19 22 Paths to sin²θ_W 1,398 3,181 8,971 Axiom load evenness 0.98 1.00 1.00 The prediction funnel is 6.4× more over-determined than v1.0. The gauge bottleneck (T_gauge at width 1) is preserved exactly. Constants Map — Completeness snapshot Category v1.0 (Engine 3.6) v2.0 (Engine 3.7) Proven [P] 23 25 Regime-gated [P_structural] 10 12 Import-gated [C] 2 0 (closed) Testable 2 2 Open gaps 15 15 Total tracked 52 54 Coverage 35/52 (67%) 39/54 (72%) Changelog from v1.0 Single-axiom reduction: new Section 3.1 with L_irr, L_loc proof sketches, executable witnesses, and countermodels New Section 7: Enforcement Crystal dependency analysis with comparative metrics table Engine upgraded: v3.6 → v3.7, theorems: 52 → 60, assertions: 248 Import category emptied: α(M_Z) and α_s(M_Z) upgraded to P_structural Born rule, CPTP maps, Hilbert space added as explicit [P] entries in constants map Sections 3.2–3.5 updated with derived-lemma status tags All "five axioms" language replaced with reduction hierarchy GitHub link updated to v3.7 Added Appendix B (Open Gaps table) and Appendix C (Version History) Falsifiability The framework contains zero continuous free parameters. All derived quantities are discrete ratios, integer partitions, or forced algebraic identities. Failure in one sector cannot be compensated by tuning another. Two explicit testable predictions remain: neutrino mass type (Majorana, via C_total = 61) and null WIMP detection (dark matter as unlabeled geometric capacity). Related resources Admissibility Physics Engine v3.7: 60 theorems, 6 tiers, 248 assertions Paper 13 v6.0: The Minimal Admissibility Core (single-axiom reduction theory paper) Enforcement Crystal v2: Post-reduction dependency analysis Interactive Dashboard v3.7+: https://admissibilityphysics.com/ Papers 1–7: Technical derivation series (SPINE, STRUCTURE, LEDGERS, CONSTRAINTS, QUANTUM, GEOMETRY, ACTION) Keywords constraint-first physics, finite enforceability, admissibility, constants map, single-axiom framework, enforcement crystal, gauge structure, Weinberg angle, cosmological constant, foundational physics, theory of everything License CC BY 4.0 Resource type Publication / Preprint Related identifiers Community: Admissibility Physics IsNewVersionOf: Paper 59 v1.0 (An Executable Constraint Framework and Constants Map) IsSupplementedBy: Admissibility Physics Engine v3.7 (GitHub) References: Paper 13 v6.0 (The Minimal Admissibility Core) About the series. Admissibility Physics derives the Standard Model gauge group, fermion content, quantum formalism, Lorentzian spacetime, the Einstein field equations, the cosmological constant, and the neutrino, strong-CP, and dark sectors from a single assumption — that enforcement is finite at every causally connected region — with zero free parameters. The core derivation runs Papers 0–11; the extension papers carry the individual sectors. Each paper's main text and Technical Supplement is deposited separately, and every quantitative claim traces to a named, executable check in the public theorem bank (over 3,800 bank-registered theorems across roughly 450 modules, 48 quantitative predictions). Website: admissibilityphysics.com. Engine and theorem bank: https://github.com/Ethan-Brooke/APF-Engine. Full series and latest deposits: Zenodo community admissibility_physics. The Engine — Admissibility Physics: An Executable Constraint Framework and Constants Map — DOI 10.5281/zenodo.18529115. Paper 0 — What Physics Permits: A Constraint-First Framework for Physics — DOI 10.5281/zenodo.18439523 Paper 1 — The Enforceability of Distinction — DOI 10.5281/zenodo.18439200 Paper 2 — Finite Admissibility and the Failure of Global Description — DOI 10.5281/zenodo.18439274 Paper 3 — Entropy, Time, and Accumulated Cost — DOI 10.5281/zenodo.18439363 Paper 4 — Admissibility Constraints and Structural Saturation — DOI 10.5281/zenodo.18439397 Paper 5 — Quantum Structure from Finite Enforceability — DOI 10.5281/zenodo.18439433 Paper 6 — Dynamics and Geometry as Optimal Admissible Reallocation — DOI 10.5281/zenodo.18439445 Paper 7 — A Minimal Quantum of Action from Finite Admissibility — DOI 10.5281/zenodo.18439513 Paper 8 — The Admissibility-Capacity Ledger — DOI 10.5281/zenodo.19721384 Paper 9 — The Geometric Substrate as Cost Structure of Comparison Continuations — DOI 10.5281/zenodo.20041675 Paper 10 — The Calculus of Finite Continuability — DOI 10.5281/zenodo.20041680 Paper 11 — Forced Universality from Capacity-Bounded Admissibility — DOI 10.5281/zenodo.20684198 Paper 13 — The Minimal Admissibility Core — DOI 10.5281/zenodo.18361446 Paper 16 — Markov Breakdown and the Hard Problems — DOI 10.5281/zenodo.20684207 Paper 18 — The Electroweak Sector as a Capacity Equilibrium — DOI 10.5281/zenodo.20684209 Paper 20 — The Enforcement Crystal — DOI 10.5281/zenodo.18531732 Paper 24 — The Recruitment-Radius Extension — Foundations — DOI 10.5281/zenodo.20684211 Paper 28 — Absolute Mass Scales from Electroweak Capacity Saturation — DOI 10.5281/zenodo.20684215 Paper 29 — Plaquette Representation Dominance and Confinement — DOI 10.5281/zenodo.20684218 Paper 30 — A Tube Mechanism for the Lattice Mass Gap — DOI 10.5281/zenodo.20684220 Paper 31 — Osterwalder–Schrader Structure of Lattice Yang–Mills — DOI 10.5281/zenodo.20684222 Paper 33 — Trace-to-Scheme Export Architecture — DOI 10.5281/zenodo.20684224 Paper 35 — The Dark Sector as a Two-Role Capacity Decomposition — DOI 10.5281/zenodo.20684228 Paper 40 — The Thermodynamics of Finite Distinction (Between Symmetry and the Void) — DOI 10.5281/zenodo.20684235 Paper 41 — The Horizon as a Continuation Ledger — DOI 10.5281/zenodo.20684241 Paper 42 — The Weak Mixing Angle Is Not Free — DOI 10.5281/zenodo.20684245 Paper 43 — The Neutrino Sector — DOI 10.5281/zenodo.21194191 Paper 44 — What a Finite Theory Owes the Continuum — DOI 10.5281/zenodo.21195874 Paper 45 — What the Vacuum Can Keep — DOI 10.5281/zenodo.21194195 Paper 46 — The Strong CP Angle Is Not Free — DOI 10.5281/zenodo.21194197 Paper 47 — The Confinement Antecedent Is Not Forced — DOI 10.5281/zenodo.21194199 Technical Supplements cross-link to their main paper via isSupplementTo and to the engine via isDocumentedBy. Concept DOIs above resolve to the latest version. Author. Ethan Brooke, Independent Researcher, San Anselmo, California, USA. ORCID: 0009-0001-2261-4682 LinkedIn: linkedin.com/in/ethanbrooke GitHub: github.com/Ethan-Brooke Contact: brooke.ethan@gmail.com