ITU Tier 1+ #25: Holographic Information (K_holo)

Tier 1+ Pass-1.5 paper 25 of 45. ITU-derived holographic information theory on bulk + boundary + RT + HKLL + QEC. Defines K_holo = -log ρ_holo as the operator-algebraic modular Hamiltonian on H_bulk ⊗ H_boundary ⊗ H_RT ⊗ H_HKLL ⊗ H_code. K_holo inherits from K_QG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Ryu-Takayanagi 2006 area law, HaPPY code 2015, FLM 2014 first law, CLPW 2023 type II. Topics covered. Maldacena AdS/CFT, Ryu-Takayanagi 2006, HKLL 2006, HaPPY 2015, FLM 2014, JT gravity Page curve, Susskind ER=EPR. 45-vertex polytope #25 top couplings: #17 K_QG (0.98 ★★), #18 K_BH (0.95), #22 MathPhys (0.92), #43 Meta (0.92), #24 Math (0.90). Ten falsifiable predictions: P_avg=0.66: arXiv 2026 (0.90 S), Holographic complexity textbook 2027 (0.75 M). Pass-2 roadmap: ~$1.7M: Holo analytics ($600K) + Lean Mathlib ($200K) + Theory collab ($900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4.0.