What question did this study set out to answer?

This analysis aims to explore the interplay of politics and governance through a mathematical framework to understand polarization trends.

May 21, 2026Open Access

ITU Tier 1+ #39: Politics + Governance (Kₚolitics)

Key Points

This analysis aims to explore the interplay of politics and governance through a mathematical framework to understand polarization trends.
Developed a modular Hamiltonian model K_politics for political systems.
Analyzed polarization metrics from 1980 to 2024, focusing on multiple political and economic factors.
Utilized a 10-country toy model comparing the USA and DRC for economic divergence.
The GDP divergence observed in the toy model predicts a 6133x increase between the USA and DRC.
Polarization metric increased from 0.30 to 1.80, indicating a significant rise in political division.
Compromise overlap reduced from 44% to 11%, signaling a decline in bipartisan collaboration.

Abstract

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 Kₚolitics = -log ρₚolitics as the operator-algebraic modular Hamiltonian on Hₛtate ⊗ Hₑlection ⊗ Hₚarty ⊗ Hₚolicy ⊗ Hdiplomacy. Kₚolitics inherits from KQG 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: Pₐvg=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). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4. 0.

ITU Tier 1+ #39: Politics + Governance (Kₚolitics)

Key Points

Abstract

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