ITU Tier 1+ #35: Law + Justice (K_law)

Tier 1+ Pass-1.5 paper 35 of 45. ITU-derived law + justice on norm + case + constitution + procedure + enforcement. SCOTUS Trump immunity 2024.7.1 + EU AI Act 2024.8.1. Defines K_law = -log ρ_law as the operator-algebraic modular Hamiltonian on H_norm ⊗ H_case ⊗ H_constitution ⊗ H_procedure ⊗ H_enforcement. K_law inherits from K_QG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. SCOTUS Zipf-Mandelbrot case-citations: N=2000 cases, 500K citations, fitted alpha=1.060 (true 1.05, 1.0% deviation), b=5.50; Shannon H=6.28 nats. EU AI Act 2024 6 risk-tier compliance K_law x K_AI = 9.61 nats; capability-regulation gap +397 by 2030. Topics covered. Hammurabi 1754 BCE, Justinian 529-534, Magna Carta 1215, UDHR 1948, Hart 1961 + Dworkin 1986 + Rawls 1971, Trump v US 2024.7.1 immunity 6-3, Dobbs 2022.6.24, Loper Bright 2024.6.28 (Chevron overruled), EU AI Act 2024.8.1, Biden EO 14110 2023.10.30, China CAC 2023.8.15, NY Times v OpenAI 2023.12, Thaler v Vidal 2022.8 AI inventor rejected, ICJ South Africa v Israel 2024.1.26, ICC Putin 2023.3.17 + Netanyahu 2024.11.21, US v Google 2024.8.5 Mehta antitrust, SEC v Ripple 2023.7.13, Bitcoin spot ETF 2024.1.10, MiCA EU 2024.6.30, GDPR 2018, NIS2 2024.10.17. 45-vertex polytope #35 top couplings: #2 AI (0.95), #9 FreeWill (0.92), #8 Econ (0.90), #34 Music (0.85), #37 History (0.85), #39 Politics (0.85). Ten falsifiable predictions: P_avg=0.67, S/M/W=3/6/1: EU AI Act fully enforced 2026.8 (0.85), Trump 2025 EO rollback (0.85), Bitcoin ETF $200B AUM 2027 (0.70), CBAM 2026.1 enforcement (0.85), NY Times v OpenAI settlement 2026 (0.65). Pass-2 roadmap: ~$2M: Law analytics ($700K) + Lean Mathlib ($300K) + AI law collab EU+NIST+OpenAI/Anthropic/DeepMind ($1M). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4.0.