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

This work presents a unified coherence-based field theory in which matter, inertia, and gravitation emerge from structured excitations of a single underlying complex scalar field. Static soliton solutions account for particle-like behavior, while coherence gradients generate inertial and gravitational effects. A minimal dynamical extension is introduced to address time scales and relaxation without invalidating static solutions. The framework is validated through a transparent computational gate methodology, with all numerical artifacts publicly archived.