What question did this study set out to answer?

The research aims to define a mathematical model (K_trade) to analyze international trade dynamics and its influencing factors.

May 21, 2026Open Access

ITU Tier 1+ #40: International Trade (Kₜrade)

Key Points

The research aims to define a mathematical model (K_trade) to analyze international trade dynamics and its influencing factors.
Utilized algebraic techniques to define K_trade within a modular framework.
Examined historical trade examples using the Ricardo model and Tinbergen's gravity model.
Analyzed data on tariffs, logistics, and economic impacts from various trade agreements.
Post-trade specialization showed a 6.2% increase in wine and 10% increase in cloth production.
Tinbergen model indicated a fitted distance elasticity of 1.022 with deviations noted.
Predictions about tariff impacts and international agreements showed varying levels of confidence.

Abstract

Tier 1+ Pass-1. 5 paper 40 of 45. ITU-derived international trade on goods + capital + FX + tariff + logistics. Ricardo + Tinbergen gravity + Trump 2025 tariffs + CBAM 2026. Defines Kₜrade = -log ρₜrade as the operator-algebraic modular Hamiltonian on Hgoods ⊗ Hcapital ⊗ HFX ⊗ Hₜariff ⊗ Hₗogistics. Kₜrade inherits from KQG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Ricardo Portugal/England wine/cloth: pre-trade 2 wine + 2 cloth in 390 hr -> post-trade specialization 2. 125 wine (+6. 2%) + 2. 2 cloth (+10%). Tinbergen 15-economy 105-pair synthetic: fitted distance elasticity alpha=1. 022 (true 1. 0, 2. 2% deviation), exporter GDP 1. 07, importer 0. 82. Topics covered. Adam Smith 1776 + Ricardo 1817 + Heckscher-Ohlin + Krugman 2008 Nobel + Melitz 2003, Tinbergen 1962 + Anderson-van Wincoop 2003, WTO 1995 165 members + Doha stalled + Appellate Body crisis 2019-, Trump 2024. 11. 25 2025 tariffs 10% universal + 60% China + 25% Mexico+Canada (Smoot-Hawley 1930 analog), NAFTA->USMCA 2020. 7. 1 + TPP->CPTPP 2018 + UK 2024. 12. 15 + RCEP 2022. 1. 1 + Brexit TCA 2020. 12. 24, US Commerce chip controls 2022. 10. 7+2023. 10+2024. 12 + CHIPS Act 2022. 8. 9 52B + TSMC AZ + Huawei 7nm Mate 60 Pro 2023. 8, Malcolm McLean 1956 container + COVID 2020-22 supply chain + Suez Ever Given 2021. 3 + Houthi Red Sea 2023. 11 70% Cape + Panama drought 2023-24 -40%, Belt and Road 2013. 9. 7 1T 150 countries + AIIB 2016 + Hambantota 2017 + Italy withdrawal 2023. 12, BIS 2022. 4 7. 5T daily FX + Dollar 88% + Russia SWIFT 2022. 2. 26 + RMB 3. 7% global payments, Acemoglu-Robinson Nobel 2024 institutions mediate, Yellen friend-shoring 2022. 4 + VdL de-risking 2023. 3 + Mexico nearshoring 2. 4B FDI 2024 + Apple India 14% 2024, World Bank remittances 685B->700B 2024 + 281M migrants + Ukraine 6. 5M refugees, EU CBAM 2023. 10->2026. 1 + ETS phase 4 + EUDR 2023. 6->2025. 12 + IRA EV credit + China carbon market 2021. 7. 45-vertex polytope #40 top couplings: #8 Econ (0. 95), #39 Politics (0. 95), #35 Law (0. 90), #11 Climate (0. 85), #15 Infra (0. 85), #14 Comm (0. 85). Ten falsifiable predictions: Pₐvg=0. 66, S/M/W=3/5/2: Trump 2025 universal tariff Q1 (0. 85), CBAM full enforcement 2026. 1 (0. 85), CPTPP 15+ members 2027 (0. 65), India 5T economy 2027 (0. 75), RMB 6% global payments 2028 (0. 55). Pass-2 roadmap: ~1. 8M: WTO+UN Comtrade analytics (600K) + Lean Mathlib Ricardo+Krugman+Tinbergen (200K) + Trump 2025 tariff+reshoring+CBAM impact modeling (1M). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4. 0.

ITU Tier 1+ #40: International Trade (Kₜrade)

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