Admissibility Physics
Published February 14, 2026 | Version v2
Preprint Open

Quantitative Consequences of Finite Distinguishability

Authors/Creators

Description

Early paper. This record is an early paper in the programme and is kept for the record. Some claims are stated more strongly here than the current series supports; see the series index for the current treatment.

Eight predictions. Zero fitted parameters. All within 0.6% of observation.

From the same single axiom that derives the Standard Model gauge group (finite enforceability of physical distinctions), this paper develops the quantitative consequences that follow from the reconstructed structure. The companion paper determines what exists; this paper determines what numbers are forced by what exists.

The capacity-competition flow between the SU(2) and U(1) enforcement sectors has a unique equilibrium:

sin²θ_W = 3/13 ≈ 0.23077 (measured: 0.23122 ± 0.00003, deviation 0.19%)

The cost ratio γ₂/γ₁ = 17/4 is not a free input — it equals the trace of the competition matrix, derived via anchored coherence drain: a multi-channel sector sharing an enforcement interface with a rank-1 partner inherits the partner's self-regulation as additional drain. The equilibrium is proved to be a global UV attractor via an explicit Lyapunov function. The Big Bang is pinned to 3/13; the 0.19% deviation is drift accumulated as the universe cools.

Horizon equipartition over the Standard Model's 61 capacity units produces the cosmological density fractions:

  • Ω_Λ = 42/61 ≈ 0.689 (Planck: 0.6889, deviation 0.05%)
  • Ω_m = 19/61 ≈ 0.311 (Planck: 0.3111, deviation 0.12%)
  • f_b = 3/19 ≈ 0.158 (Planck: 0.1571, deviation 0.49%)

All predictions are exact rational numbers. The framework additionally excludes a fourth generation, Dirac neutrinos, dark matter particles, and strong CP violation — all as structural consequences, not assumptions.

Every input to these calculations was derived in the companion paper. If the reconstruction is wrong, the numbers are wrong. If the reconstruction is right, the numbers are forced. There is no room for adjustment.

5 structural inputs, all proved. 0 remaining assumptions. 8 predictions. 0 parameters.

About the APF series. The Admissibility Physics Framework develops Standard Model and cosmological structure from a single primitive — finite enforcement capacity — through a chain of papers plus a machine-verifiable engine, with each result carried at its stated hypotheses. Each paper has a main text and, where applicable, a Technical Supplement, deposited on Zenodo and collected in the admissibility_physics community; the canonical engine (APF-Engine v24.3.504, 4,233 bank-registered theorems) records the constructions and controls behind every quantitative claim. The full series index is at admissibilityphysics.com. DOIs below are concept DOIs (they always resolve to the latest version).

Technical Supplements cross-link to their main paper via isSupplementTo and to the companion GitHub repository (github.com/Ethan-Brooke) via isDocumentedBy.

Author. Ethan Brooke, Independent Researcher, San Anselmo, California, USA.

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