Gravity

This paper presents a fully geometric reformulation of gravity within the Octomorphic Framework. Instead of treating gravitation as curvature of spacetime or a force produced by mass, the model derives gravitational behavior from two coherence-based quantities: 1. Mean Coherence Curvature (MCC) — a smooth geometric field whose spatial gradient, g_primary = –∇(MCC), provides the dominant gravitational effect in planetary, stellar, and galactic regimes. 2. Phase-Strain Return (ΔL Return) — a secondary contribution arising when braid cycles are misaligned. The return term, g_secondary = F_return(ΔL), explains short-range anomalies, shell-boundary effects, perihelion shifts, and flyby deviations. Together these produce a hybrid gravitational law: g_total = – ∇(MCC) + F_return(ΔL) constrained by triangle-braid closure (TB) and the curvature-tension scalar λ². In this view, gravity is a coherence-return phenomenon, not a mass-field interaction. The paper develops: MCC-based gravitational wells and shell geometry (L = n/8) Non-singular black hole behavior via ΔL inversion surfaces Gravitational waves as MCC–ΔL echo fronts Natural flat galactic rotation curves without dark matter Light deflection, redshift, and binary-system behavior from coherence gradients Compatibility with Newtonian and GR limits where those theories are empirically valid A concluding section addresses key conceptual questions: the physical meaning of coherence, the origin of G, c, and ħ within the framework, the derivation of n/8 shells, precision-test compatibility, and the interpretation of the ΔL return function. This work provides a unified, non-singular, dark-matter-free account of gravitational phenomena derived entirely from coherence geometry.