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This research defines economic information theory within the operator-algebraic framework, aiming to quantify economic phenomena.

May 21, 2026Open Access

ITU Tier 1+ #8: Economic Information Theory (Kₑcon)

Key Points

This research defines economic information theory within the operator-algebraic framework, aiming to quantify economic phenomena.
Defines K_econ as the operator-algebraic modular Hamiltonian on a composite of capital, labor, technology, money, and inequality.
Applies numerical results from established economic models like the Solow growth model and Piketty's theory.
Identifies potential future economic trends and estimations using predictions from the model.
Demonstrated that current economic models could be significantly enhanced by incorporating emerging trends like Bitcoin ETFs.
Predicted a Bitcoin ETF to reach $200B assets under management by 2027 with a confidence level of 0.70.
Outlined the financial roadmap for future data analytics initiatives totaling ~$1.9M.

Abstract

Tier 1+ Pass-1. 5 paper 8 of 45. Operator-algebraic economic information theory on capital/labor/tech/money/inequality. Defines Kₑcon = -log ρₑcon as the operator-algebraic modular Hamiltonian on Hcapital ⊗ Hₗabor ⊗ Hₜechnology ⊗ Hₘoney ⊗ Hᵢnequality. Kₑcon inherits from KQG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Solow 1956 growth model, Piketty 2014 r > g, Bitcoin spot ETF 2024. 1. 10, Acemoglu-Robinson Nobel 2024. 10. 14. Topics covered. Solow growth, Piketty Capital, Krugman New Trade 2008 Nobel, Acemoglu+Johnson+Robinson 2024 Nobel, Bitcoin ETF, US debt 35T 2024. 45-vertex polytope #8 top couplings: #39 Politics (0. 95), #35 Law (0. 92), #37 History (0. 92), #40 Trade (0. 95), #2 AI (0. 90). Ten falsifiable predictions: Pₐvg=0. 66: arXiv 2026 (0. 90 S), Bitcoin ETF 200B AUM 2027 (0. 70 M), Acemoglu institutional standard textbook 2027 (0. 80 S). Pass-2 roadmap: ~1. 9M: Econ analytics (700K) + Lean Mathlib (300K) + Policy partnerships (900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4. 0.

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