P52v2- Black Stars and the Firewall Paradox: CCEGA Dissolves the AMPS Trilemma. Virasoro_t ⋉ BMS₃ Symmetry at the Black Star Surface
"This is v2.0 of doi:10.5281/zenodo.20030443" The AMPS firewall paradox establishes that unitarity, effective field theory (EFT) outside the horizon, and a smooth horizon cannot simultaneously hold. We argue that the CCEGA framework dissolves—rather than resolves—the trilemma by eliminating its central premise: compact objects in the mass range 4.56–12.0 M☉ are black stars without classical event horizons. The trilemma does not apply because postulate (iii) has no referent. New in v2. The original Virasoro ⊕ supertranslation conjecture of v1 is revised in light of Maitra, Maity and Majhi (2021), who show that timelike surfaces in Schwarzschild spacetime admit only temporal supertranslations F(t), not a full Virasoro algebra. We perform the asymptotic symmetry analysis in the RS1 bulk geometry and find that the extra dimension y contributes an independent parameter Y(t,θ,φ). The Lie bracket [ζ_F, ζ_Y]^y = F·∂_t Y ≠ 0 shows the algebra is a semidirect product: Virasoro_t ⋉ BMS₃ — which is precisely the standard BMS₃ algebra. The Israel junction condition does not restrict Y to Y(t): the ratio |δK_θθ|/|Israel_θθ| ~ 10⁻⁴², verified analytically from the collapse arrest condition of P35. A Cardy validation against Sgr A* using the BMS₃ entropy formula gives S ≈ 1.019 S_BH (within 2%), without free parameters. For stellar-mass black stars, S_Cardy ≫ S_RT (P54), consistent with the entropy-releasing character of black star formation.
Authors
- Marc López Sánchez (ORCID: https://orcid.org/0009-0005-6356-3702)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-05-18
- DOI
- https://doi.org/10.5281/zenodo.20272861
- Primary Topic
- Cosmology and Gravitation Theories
- Type
- preprint