BKL Billiard Domain = T² Moduli Space (Hartnoll-Yang 2025)
Three-part remark: (1) BKL billiard domain H/SL(2,Z) is the moduli space of T², directly identifying it with tau's BH horizon parameter space (tau-effective from V.T109). (2) tau dissolves the singularity: No Interior Singularity (V.P91) topologically excludes the BKL cusp; Maass
What this page is
This is a public Results-lane surface for a noteworthy Physics Registry item. It is generated from the Corpus Registry triage catalogue and keeps the generic Result catalogue unchanged.
Registry evidence
- Registry item: V.R477
- Type: remark
- Scope: tau-effective
- Lean status: not_applicable
- Book / part / chapter: Book V · Part 6 · Chapter 50
Result summary
Three-part remark: (1) BKL billiard domain H/SL(2,Z) is the moduli space of T², directly identifying it with tau’s BH horizon parameter space (tau-effective from V.T109). (2) tau dissolves the singularity: No Interior Singularity (V.P91) topologically excludes the BKL cusp; Maass boundary conditions express this exclusion. (3) Conjectural spectral coincidence: first Maass spectral parameter epsilon_1 = 9.534 vs tau’s diagonal T² eigenvalue lambda_{1,1} = 1 + iota_tau^{-2} = 9.585 at 0.53% (operator normalisation identification pending). Fermionic Witten index degeneracy (p-1)/2 per prime matches tau’s bipolar primitive winding count. Reference: Hartnoll-Yang arXiv:2502.02661.
Related Results surfaces
Reading role
Use as Registry evidence for an existing Results surface.
Claim boundary
This page reports a Registry-backed internal result surface. It is not an external validation claim, a scientific consensus claim, or independent acceptance.
Curation rationale
- physics-facing terms: singularity, spectral
- technical/internal terms: operator
- candidate is better handled as evidence for an inferred existing public surface
Review notes
- No additional review notes recorded.