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

Abstract

Version 4.1 — Erratum: Section 6 (Adelic Factorization) retracted following ACRP-04.5 Density Gate Audit (BP-3, research v2.42). Monte Carlo null model for random ratios found P=0.944 — the claimed factorization is consistent with random coincidence. Section 6 retracted pending correction. Remainder of paper (Bruhat-Tits trees, mass-ratio analysis with disclosed look-elsewhere bounds, Efimov correspondence) is unaffected. (2026-08-02)