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ITU Tier 1+ #9: Free Will (K_freewill)

Munehiro Terada

Published May 19, 2026• 0 citations
Publisher

Abstract

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.

DOI
10.5281/zenodo.20271378

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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: Holo analytics ($600K) + Lean Mathlib ($200K) + Theory collab ($900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4.0.
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