ITU Tier 1+ #17: Quantum Gravity Core (K_QG)

Tier 1+ Pass-1.5 paper 17 of 45. ITU core: K_QG modular Hamiltonian via CLPW 2023 type II crossed-product generating all other K_X. Defines K_QG = -log ρ_QG as the operator-algebraic modular Hamiltonian on H_bulk ⊗ H_boundary ⊗ H_modular ⊗ H_geometry ⊗ H_observable. K_QG inherits from K_QG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Bekenstein-Hawking entropy S = A/4G, FLM 2014 first law, Witten 2018 type III1, CLPW 2023 type II. Topics covered. Bekenstein 1973, Hawking 1975, Maldacena AdS/CFT 1997, Ryu-Takayanagi 2006, FLM 2014, Witten 2018, CLPW 2023, EHT 2019/2022. 45-vertex polytope #17 top couplings: #16 SmartCity (0.85), #18 K_BH (0.95), #25 Holo (0.98), #24 Math (0.95), #43 Meta (0.95). Ten falsifiable predictions: P_avg=0.78: arXiv 2026 (0.90 S), Type II crossed-product textbook 2027 (0.80 S), Tier 0 v3.0 paper 2027 (0.85 S). Pass-2 roadmap: ~$2M: K_QG analytics ($700K) + Lean Mathlib ($300K) + Theoretical physics collab ($1M). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4.0.