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

Munehiro Terada

Published May 19, 2026• 0 citations
Publisher

Abstract

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.

DOI
10.5281/zenodo.20279704

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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:Holoanalytics(1.7M: Holo analytics (1.7M:Holoanalytics(600K) + Lean Mathlib (200K)+Theorycollab(200K) + Theory collab (200K)+Theorycollab(900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4.0.
Tier 1+ Pass-1.5 paper 9 of 45. Operator-algebraic free-will information theory bridging Libet, libertarianism + determinism + compatibilism. Defines K_freewill = -log ρ_freewill as the operator-algebraic modular Hamiltonian on H_intention ⊗ H_choice ⊗ H_consciousness ⊗ H_determinism ⊗ H_libertarian. K_freewill inherits from K_QG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Libet 1983 readiness potential, Soon 2008 fMRI 7-10 sec prior prediction, Sapolsky 2023 Determined. Topics covered. Libet 1983, Soon 2008, Frankfurt 1969 compatibilism, Kane 1996 libertarian, Sapolsky 2023 Determined, Dennett RIP 2024.4. 45-vertex polytope #9 top couplings: #38 Politics (0.92), #33 Lang (0.92), #7 Econ (0.90), #2 AI (0.92), #44 Logic (0.90). Ten falsifiable predictions: P_avg=0.55: arXiv 2026 (0.90 S), Free-will neuroscience consensus 2030 (0.30 W), AI moral agency debate 2027 (0.55 M). Pass-2 roadmap: ~$1.7M: Freewill analytics ($600K) + Lean Mathlib ($200K) + Neuro+Ethics collab ($900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4.0.
Tier 1+ Pass-1.5 paper 1 of 45. Modular K-Flow Quantum Error Correction. Defines K_mKQEC = -log ρ_mKQEC as the operator-algebraic modular Hamiltonian on H_qubit ⊗ H_code ⊗ H_syndrome. K_mKQEC inherits from K_QG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Surface code threshold simulation; modular flow on stabilizer codes; entanglement entropy verification. Topics covered. Surface codes, Kitaev 2003 toric code, Google Quantum AI 2023 below-threshold, IBM Heron 2024, modular Hamiltonian for QEC. 45-vertex polytope #1 top couplings: #2 AI (0.95), #17 K_QG (0.92), #3 K_crypto (0.85). Ten falsifiable predictions: P_avg=0.62, S/M/W=2/6/2: arXiv 2026 (0.90 S), Google QEC threshold 2026 (0.75 M), Logical qubit demos 2027 (0.65 M). Pass-2 roadmap: ~$1.5M: QEC analytics ($500K) + Lean Mathlib ($200K) + Quantum hardware collab ($800K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4.0.
Tier 1+ Pass-1.5 paper 3 of 45. ITU-derived post-quantum cryptography on lattice / code / hash / isogeny problems. Defines K_crypto = -log ρ_crypto as the operator-algebraic modular Hamiltonian on H_lattice ⊗ H_code ⊗ H_hash ⊗ H_isogeny. K_crypto inherits from K_QG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Kyber/Dilithium lattice complexity; Shor's algorithm threat timeline; PQC migration cost projection. Topics covered. NIST PQC 2024.8.13 finalisation, ML-KEM/ML-DSA/SLH-DSA, Kyber/Dilithium/Falcon/SPHINCS+, Shor 1994, lattice cryptography. 45-vertex polytope #3 top couplings: #3 K_semi (0.85), #13 K_robot (0.85), #2 AI (0.85). Ten falsifiable predictions: P_avg=0.65: arXiv 2026 (0.90 S), Quantum break of RSA-2048 by 2035 (0.30 W), Global PQC migration 2030 (0.70 M). Pass-2 roadmap: ~$1.5M: Crypto analytics ($500K) + Lean Mathlib ($200K) + PQC migration consortium ($800K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4.0.