Modal Coherence as the Foundation of Physics: A Unified Dynamical Model Reproducing Quantum, Gauge, and Gravitational Laws

We propose a minimal, dynamical framework in which all known fundamental physical laws emerge from a single structural principle: the coherent coupling of modal differences on a relational scene. Discarding particle-based ontologies and continuum assumptions, the theory introduces modes as abstract units of difference and models physical evolution as the flow of couplings Kij across a graph of modes. From this principle, we derive the Dirac equation with spin-½ structure, extract the QCD β-function via Wilson loops on a 2D torus, and reproduce the Einstein field equations from curvature in the coupling geometry. The metric tensor gμν(x) and gauge potentials AμA arise as emergent fields from the phase and magnitude structure of Kij. Numerical simulations validate key aspects of the theory, including phase flows, running couplings, and metric emergence on curved topologies. All experiments are reproducible with open-source code. This framework offers a coherent, generative base for unifying quantum theory, gauge fields, and gravity within a single, non-axiomatic model.