ITU Tier 1+ #18: Black-Hole Information (K_BH)

Tier 1+ Pass-1.5 paper 18 of 45. ITU-derived black-hole information on horizon + interior + radiation + information + singularity. Defines K_BH = -log ρ_BH as the operator-algebraic modular Hamiltonian on H_horizon ⊗ H_interior ⊗ H_radiation ⊗ H_information ⊗ H_singularity. K_BH inherits from K_QG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Hawking 1975 radiation; AMPS 2012 firewall; Page curve Penington 2019; islands Almheiri 2019. Topics covered. Hawking 1975, AMPS 2012 firewall, Page 1993 curve, Penington 2019 + Almheiri-Engelhardt-Penington-Wall 2019 islands, EHT 2019/2022 M87 + Sgr A*. 45-vertex polytope #18 top couplings: #17 K_QG (0.95), #25 Holo (0.92), #11 Cosmo (0.92), #21 Stat (0.85). Ten falsifiable predictions: P_avg=0.73: arXiv 2026 (0.90 S), Information paradox resolved 2030 (0.55 M), EHT next-gen 2030 (0.75 M). Pass-2 roadmap: ~$1.7M: BH analytics ($600K) + Lean Mathlib ($200K) + Theory collab ($900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4.0.