Gravity as Observer Synchronization: Deriving the Gravitational Constant from ODTOE First Principles — Overview
Derivation of gravitational constant G from first principles of ODTOE as geometric consequence of informational architecture of reality. Gravity interpreted as
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Derivation of the gravitational constant G from the first principles of ODTOE as a geometric consequence of the informational architecture of reality. Gravity is interpreted as a fourth informational operation—SYNC (synchronization), which reconciles observers on adjacent levels of recursion of the φ-torus. The inertia of a configuration I(C) is the geometric basis of mass, while the Newtonian force arises as the result of synchronizing impulses between levels. A new formula for G is derived via the spectral density of the modes of the φ-torus and the coherence factor Φ_G(φ, S, d). At macroscopic values S→1 the formula reproduces the standard value, while at S<1 it predicts coherence corrections. The equivalence principle is derived from the coincidence of the inertias of a configuration on different levels.