The Taichu Formula: A Unified Theory of Freedom and Constraint (太初公式:自由與約束的統一理論)

This paper presents the Taichu Formula (太初公式), a unified theoretical framework derived from constitutional first principles—the relationship between freedom (L) and power (P). The core formula: L → {P, L'} (Freedom enters a field, producing power and residual freedom) We demonstrate that this single framework: - Unifies all four fundamental forces (electromagnetic, gravitational, strong nuclear, weak nuclear) as manifestations of the same P± at different scales - Explains the Higgs mechanism through "Two Begets Three" (二生三): P± → {++, --, +-} ↔ {W+, W-, Z⁰} - Reinterprets general relativity: spacetime curvature as freedom constrained by mass - Resolves the nature of centrifugal force: not a fictitious force, but freedom (L) itself - Explains inertia as the natural state of freedom, not a mysterious "property" - Demystifies the fine-structure constant (1/137) as P/L ratio at atomic scale, determined by degrees of freedom rather than geometric power laws - The framework reveals a profound correspondence between physics and political philosophy: the P/L ratio governs both cosmic phenomena (black holes, expansion, orbits) and social structures (tyranny, anarchy, constitutional order). Based on Laozi's insight from 2,500 years ago: "道生一,一生二,二生三,三生萬物" (Dao begets One, One begets Two, Two begets Three, Three begets all things).