Relativistic Field Curvature Solitons (RFCS): A Unified Framework for Emergent Gravitation and Quantum Structure

This white paper introduces the Relativistic Field Curvature Soliton (RFCS) framework, a mathematically unified model in which gravitation, quantum structure, and curvature dynamics emerge from stable, self-organizing field configurations. RFCS formalizes curvature wells as solitonic attractors in a relativistic field manifold, derives particle-like behavior from harmonic curvature modes, and provides a continuous bridge between general relativity and quantum field theory. The paper presents the governing equations, stability conditions, geometric invariants, and validation scenarios, establishing RFCS as a candidate architecture for unifying local quantum behavior with large-scale curvature dynamics.