The Adelic Cross-Domain Program v5.0: From the Fine-Structure Constant to the Standard Model Mass Spectrum via Bruhat–Tits Trees

Abstract

Version 5.0 (erratum carry-forward + density gate disclosure, 2026-08-02). Section 6 rewritten: retracted adelic factorization (976/919) replaced with full density gate audit disclosure. Monte Carlo null model P=0.944 — classified as [CONSISTENT WITH LOOK-ELSEWHERE ARTIFACT] per BP-3/BP-8 (research v2.42). Section 6 now serves as a methodological case study in pre-registration, null-model testing, and look-elsewhere correction for number-theoretic coincidence claims. 'merely' banned word removed per Physics Writing Standards. IsNewVersionOf: 10.5281/zenodo.21754154 (v4.1).