Particles and Forces as Coherence Basins and Capacity Gradients

We derive particles and forces as emergent structures in the dynamics of coherence capacity. Building on the transport and focusing theory of coherence capacity, we show that localized, persistent excitations correspond to stable coherence basins, while forces arise from gradients and flows of coherence capacity acting on those basins. Basin densities and centroid dynamics yield Newtonian motion in the narrow-basin limit, with mass identified as integrated coherence weight. Internal phase coherence leads to gauge connections and reproduces the Lorentz force as a condition for phase-coherence preservation during transport. Gauge charge appears as a basin invariant and is conserved within admissible regimes, while particle number need not be. In non-Abelian sectors, maintaining extended coherence exhausts capacity under separation, forcing recombination and yielding confinement with area-law behavior. Gravity emerges as the universal response to total capacity distribution. No fundamental point particles or force carriers are introduced; particles and forces arise from projection-based stability and capacity transport. The framework is model-independent and completes the coherence-capacity program by explaining the emergence of matter and interactions from admissibility constraints.