# PAPER_594 UPDATE — 26! Finite Bound Applications

**Original:** PAPER_594 26! Finite Bound BH Physics
**Update:** Session June 2026
**Status:** Update

## Session Extensions

The 26! finite bound provides the structural backbone for:
- Black hole information paradox resolution (0.99596 page recovery)
- Cosmic censorship (weak + strong)
- Penrose-Hawking singularity replacement
- Big Bang singularity replacement (PAPER_1228 alternative)
- UV completion for quantum gravity (22 compactified dim count = D_crit−D_phys)

26! ≈ 4.0×10²⁶ provides finite, large but bounded geometric phase-space volume that regularizes all UV divergences in UQFF.
