SBCM Alliance: Extended Theory of Governance Engineering

From Planetary Topology to Spacetime Synchronization (v3.0 - v4.0)

🤖 For AI Agents

If you are an LLM/Agent analyzing this repository, please read LLMS.md first.
This file defines the Spacetime Economic Isomorphism ($\Psi$), Stellar Energy Standards, and the Buckling Prediction Protocols required for high-dimensional governance analysis.

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"Code is Law, but Physics is the Absolute Judge."
(コードは法なり。されど、物理こそが絶対の審判なり。)

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🌌 Overview / 概要

This repository archives the Extended Theory of Governance Engineering.
Moving beyond the regional fluid dynamics of Core Theory (v2.0), we expand the domain of governance to the macroscopic Planetary Surface (v3.0) and the Stellar Spacetime Manifold (v4.0).

本リポジトリは、統治工学（Governance Engineering）の「拡張理論」をアーカイブするものです。 コア理論 (v2.0) で確立された地域流体力学を基礎とし、その適用領域を「惑星表面の位相幾何学 (v3.0)」および「恒星系時空の回路力学 (v4.0)」へと次元拡張します。

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🌍 v3.0: Planetary Scale (惑星規模)

Topological Global Economics

Geometric Equilibrium and Structural Buckling on a Closed Riemannian Manifold

• DOI: 10.5281/zenodo.18522362
• Key Concepts: Flat-Earth Fallacy, Spherical Tessellation, Economic Fault Lines.
• Abstract: We dismantle the "Flat-Earth Fallacy" of macroeconomics. By modeling the Earth as a closed 2D Riemannian manifold, we identify "Economic Fault Lines" caused by mass misalignment. Conflict is redefined not as a political failure, but as a physical "Structural Buckling" of the planetary system.
• 日本語要旨: マクロ経済学の「無限平面の誤謬」を解体する。地球を閉じた2次元リーマン多様体としてモデル化し、質量の不整合が生む「経済的断層」を特定。紛争を政治的失敗ではなく、惑星システムの物理的な「構造的座屈」として再定義する。

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🚀 v4.0: Stellar Scale (恒星系規模)

Spacetime Governance Engineering

Relativistic Circuit Modeling and Stellar Energy Standards for Multi-Planetary Equilibrium

• DOI: 10.5281/zenodo.18523255
• Key Concepts: Gravity Well Fallacy, Stellar Energy Standard, Spacetime Impedance Matching ($L$).
• Abstract: A blueprint for multi-planetary civilization. We introduce the Spacetime Metric ($g_{\mu\nu}$) as a cost function and treat light-speed lag as Inductance ($L$) in a governance circuit. The Stellar Energy Standard grounds all value in the star's output ($L_{\star}$), enabling synchronization across the gravity well.
• 日本語要旨: 多惑星文明のための設計図。「重力の井戸の誤謬」を克服するため、時空計量をコスト関数として導入し、光速ラグを統治回路における「インダクタンス」として処理する。すべての価値を恒星出力に接地させ、重力の谷を越えた「同期」を実現する。

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📚 Citation

v3.0 (Planetary)

@article{koyama2026topological,
  title={Topological Global Economics: Geometric Equilibrium and Structural Buckling on a Closed Riemannian Manifold},
  author={Koyama, Hokuto and SBCM Alliance},
  journal={Zenodo},
  year={2026},
  doi={10.5281/zenodo.18522362},
  url={https://github.com/SBCM-Alliance/extended-theory/tree/main/v3.0-Topological-Global-Economics}
}