Randomized trial examines political dynamics in state systems, indicating significant polarizing trends within democracies.
Tier 1+ Pass-1.5 paper 39 of 45. ITU-derived politics + governance on state + election + party + policy + diplomacy. Acemoglu-Robinson 2024 Nobel + Trump 2024.11.5 + V-Dem backsliding. Defines K_politics = -log ρ_politics as the operator-algebraic modular Hamiltonian on H_state ⊗ H_election ⊗ H_party ⊗ H_policy ⊗ H_diplomacy. K_politics inherits from K_QG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Acemoglu-Robinson 10-country toy model: USA (I=0.85) vs DRC (I=0.15) -> 6133x GDP toy-model divergence (real-world ~50-60x; Nogales 5x). Polarization 1980-2024: separation 0.30->1.80 (6x), Ashman bimodality D 0.42->3.39 (crossed threshold ~2010 Tea Party), compromise overlap 44%->11%. Topics covered. Plato Republic 380 BCE + Aristotle Politics 350 BCE, Hobbes Leviathan 1651 + Locke 1689 + Rousseau 1762 + Montesquieu 1748, Federalist Papers 1787-88 Madison-Hamilton-Jay, Marx 1848/1867 + Weber 1919 + Arendt 1951 + Habermas 1962, Trump v Harris 2024.11.5 312-226 EC + popular vote +1.5% + all 7 swing states + Biden withdrawal 2024.7.21 + JD Vance VP + inauguration 2025.1.20, Jan 6 2021 + Trump v US 2024.7.1 SCOTUS immunity + Bragg conviction 2024.5.30 34 felonies + Georgia RICO 2023.8 + Carroll $83.3M, Putin term 2036 + Xi term limits removed 2018 + Modi 3rd 2024.6 + Erdogan + Meloni 2022.10 + Orban illiberal, Biden NH AI robocall 2024.1.21 + Kramer $6M fine + OpenAI blocked 20+ ops + Doppelganger Russian + EU AI Act deepfake labels, Acemoglu+Johnson+Robinson Nobel 2024.10.14 + Why Nations Fail 2012 + Narrow Corridor 2019, Brexit 2016/2020 + Starmer 2024.7.4 + EU 2024 ID+ECR ~25% + AfD Thüringen 2024.9 + Le Pen 2024.6 33% + Wilders 2023.11, Hetherington-Weiler 2009 + Mason 2018 + Iyengar 2012 + Pew 2024 + Putnam 2000, V-Dem 2024 LDI decline + 71% autocracy world pop + Levitsky-Ziblatt 2018, Trump 2025 tariffs 10%+60% China+25% Mex/Can + CPTPP UK 2024.12.15. 45-vertex polytope #39 top couplings: #8 Econ (0.95), #35 Law (0.92), #37 History (0.92), #2 AI (0.90), #36 Edu (0.85), #38 Anthro (0.85). Ten falsifiable predictions: P_avg=0.68, S/M/W=3/6/1: V-Dem 2025 further LDI decline (0.85), Trump 2025 EO rollback (0.85), Acemoglu-Robinson model textbook 2027 (0.80), EU far-right >30% national gov't 2027 (0.65). Pass-2 roadmap: ~$1.9M: V-Dem+Polity analytics ($700K) + Lean Mathlib Arrow+Downs+A-R ($300K) + AI election integrity OpenAI+Anthropic+V-Dem ($900K).
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Munehiro Terada (2026) studied this question.
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