The Adelic Cross-Domain Program (v3.2)

From the Fine-Structure Constant to the Standard Model Mass Spectrum via Bruhat–Tits Trees

Author: Rowan Brad Quni-Gudzinas Zenodo DOI: 10.5281/zenodo.21726122 (v3.2) Status: Published — v3.2 published 2026-07-31 License: QNFO Unified License Agreement (QNFO-ULA)

Summary

A unified synthesis of a six-avenue research program revealing that the renormalization group, bosonic quantum error correction, holographic AdS/CFT, Efimov physics, and the Standard Model mass spectrum share a common geometric substrate: the Bruhat–Tits tree of p-adic numbers.

Core Results

• All Standard Model mass ratios are Pythagorean (2^a · 3^b · 5^c) to within ~1%
• Bosonic QEC codes (cat, GKP, binomial) are fixed points on the Bruhat–Tits tree
• The Efimov effect is the three-body manifestation of adelic structure
• π is not an idèle — a structural necessity, not a failure

v3.2 Corrections (2026-07-25)

This version corrects arithmetic errors identified in the red-team audit of v3.1:

1. Mass ratio triplets: 5 of 9 corrected with independently verified values
2. Efimov λ derivation: replaced incorrect formula with honest structural correspondence
3. Added constraining literature section (KIF-18 symmetry)
4. Acknowledged semigroup density epistemological risk
5. Added complete errata section

Files

• paper.md — Full paper source (Pandoc markdown with LaTeX math)
• docs/ — Supporting documents and prior work
• artifacts/ — Red-team audit trail, verification results
• releases/ — Zenodo-ready bundles

Quick Start

pandoc paper.md -o paper.pdf --pdf-engine=xelatex --citeproc

Related Publications

• Adelic Particle Spectrum: DOI 10.5281/zenodo.21492726
• Harmonic-Adelic Completions: DOI 10.5281/zenodo.21511271
• Cross-Domain Phase 2: DOI 10.5281/zenodo.21509815