A Coherence-Based Field Theory of Matter, Inertia, and Gravitation

Description

Abstract

We present a coherence-based field theory in which matter, inertia, and gravitation arise as emergent phenomena from a single complex scalar field Ψ = √ρ e^{iθ}. The theory replaces point-particle primitives with spatially extended, dynamically stable soliton and defect structures whose properties are determined by coherence gradients and phase dynamics.

In the static regime, localized soliton solutions reproduce particle-like behavior while global phase gradients generate inertial response. Gravitational phenomena emerge as large-scale coherence gradients sourced by baryonic structure, yielding a Poisson-like limit in ordered systems and morphology-dependent deviations in dynamically hot or disordered regimes.

To address time scales, relaxation, and coupling consistency, we introduce a minimal dynamical extension that augments the frozen action with overdamped phase evolution. This extension preserves all static solutions while enabling emergent acceleration scales and effective gravitational coupling in the quasi-static limit. No full quantum field theory or electromagnetic unification is claimed; sectors not derived from first principles are explicitly classified as effective.

Validation is organized through a reproducibility-first computational gate framework. Gates assess existence, stability, geometry dependence, phenomenology, and falsifiability. Galaxy rotation curve analyses demonstrate a clear bifurcation between disk-dominated and bulge-dominated systems, consistent with independent observational evidence for morphology-dependent galactic dynamics.

All numerical solvers, diagnostic scripts, and outputs for Gates 1–3 are publicly archived. The theory is presented with explicit scope boundaries, falsification criteria, and artifact transparency, enabling independent audit and extension.