What question did this study set out to answer?

The aim is to bridge concepts of free will, determinism, and libertarianism using operator-algebraic theory.

May 21, 2026Open Access

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

Key Points

The aim is to bridge concepts of free will, determinism, and libertarianism using operator-algebraic theory.
Defines K_freewill as the operator-algebraic modular Hamiltonian on multiple spaces including intention, choice, and consciousness.
Incorporates previously established theories and empirical data such as Libet's readiness potential and Soon's fMRI predictions.
Presents ten falsifiable predictions related to neuroscience and AI ethical debates.
Identifies key couplings in a polytope structure with high correlations in subjects like politics, language, and AI.
Estimates K_freewill based on the mathematical framework provided, suggesting future research paths in neuroscience and ethics.
Presents expected consensus in free-will neuroscience by 2030, indicating a timeline for ongoing debates.

Abstract

Tier 1+ Pass-1. 5 paper 9 of 45. Operator-algebraic free-will information theory bridging Libet, libertarianism + determinism + compatibilism. Defines Kfreewill = -log ρfreewill as the operator-algebraic modular Hamiltonian on Hᵢntention ⊗ Hchoice ⊗ Hconsciousness ⊗ Hdeterminism ⊗ Hₗibertarian. Kfreewill inherits from KQG 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: Pₐvg=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.

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