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

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 K_trade = -log ρ_trade as the operator-algebraic modular Hamiltonian on H_goods ⊗ H_capital ⊗ H_FX ⊗ H_tariff ⊗ H_logistics. K_trade inherits from K_QG 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: P_avg=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.

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Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-19
DOI
https://doi.org/10.5281/zenodo.20283676
Primary Topic
Global trade and economics
Type
preprint
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preprint

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

Munehiro Terada
Zenodo (CERN European Organization for Nuclear Research)
Global trade and economics
preprint

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

Munehiro Terada
preprint en

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 K_trade = -log ρ_trade as the operator-algebraic modular Hamiltonian on H_goods ⊗ H_capital ⊗ H_FX ⊗ H_tariff ⊗ H_logistics. K_trade inherits from K_QG 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: P_avg=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.

Zenodo (CERN European Organization for Nuclear Research)
Stroke Association (GB)
Global trade and economics
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