Gravity as Capacity Redistribution: A Reconstruction of the Static Schwarzschild Sector

We present a continuum phase-capacity framework in which matter is modeled as an embedded obstruction phase within a capacity-bearing continuum. Rather than interpreting gravity as an attractive interaction, the framework describes gravitational phenomena as arising from the redistribution of finite continuum capacity between spatial and rate channels. The static theory is formulated through a constrained phase-field action containing an obstruction field χ and a capacity redistribution field u. The resulting field equations generate an exterior capacity profile from which spatial, temporal, and optical structures are reconstructed. Several structural components of the theory are independently constrained by horizon, photon-sphere, innermost stable circular orbit, redshift, and optical-propagation requirements. These constraints select a unique static capacity geometry characterized by spatial and rate-capacity channels and an associated optical structure. The resulting geometry reproduces the static Schwarzschild sector, including the horizon radius, photon sphere, innermost stable circular orbit, gravitational redshift, isotropic metric structure, and weak-field Shapiro delay behavior. Within this framework, the Schwarzschild horizon is interpreted as a rate-capacity exhaustion boundary rather than a divergence of spatial capacity. The present work is restricted to the static sector. Cosmological dynamics, galaxy-scale phenomena, and possible implications for dark-sector observations are deferred to future investigation.