Investigates the Faddeev-Popov gap and symbolic regression on observables, highlighting significant findings in quantum field theory.
Crossed Cosmos research repository organised around the Lie-algebraic invariant κ = 1/(2|Φ⁺(G)|), with κ(SU(3)) = 1/6 as the central structural constant. Version 7.2.0 (2026-05-25) adds: (i) the Faddeev-Popov conditional spectral gap (KR-FP-3) — λ_min ≥ m₀²(1-κ) on the closed fundamental modular domain, conditional on three named hypotheses (H1+H2+H3), formalised in Lean 4 with zero sorrys; (ii) a Bonferroni-controlled symbolic regression on 166 PDG/FLAG observables, Z = +14.65σ; (iii) phenomenology PySR runs (lifetimes Z = +4.57σ, BBN+nuclear Z = +8.29σ, CP asymmetries Z = +4.99σ including β_CKM ≃ π/8); (iv) QNM-dedicated PySR with the structural finding S_BH/(π·r_S²) = 1/4 = κ(SU(2))² EXACT (Bekenstein-Hawking entropy coefficient = κ²); (v) Lean YM core 15 files, 9 282 lines, 0 sorry + new FaddeevPopovGap module. Methodology: SOTA-2026 LLM-assisted research workflow (see AI_USE.md for COPE-compliant disclosure). Anti-fab discipline: cluster firm 731 STABLE, 12/12 arXiv IDs verified, gitleaks clean. Honest scope: research programme, NOT a Theory of Everything. The Bauerschmidt-Bodineau-Dagallier cluster expansion remains the principal open obstruction to the Clay mass gap.
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Kévin Rémondière (2026) studied this question.
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