This paper establishes the complete static, geometric, and interference framework of classical field theory by abandoning the stochastic concept of "quantum spacetime foam" in favor of a deterministic elastic medium of vacuum bubbles (the Wheeler substrate). By restoring the Maxwellian field scalar potential S = Real(DA) != 0, previously excised by the Heaviside vector reduction, we derive the fundamental laws of Gauss, Coulomb, and Compton as direct hydrodynamic consequences of phase coupling and volumetric conservation within a compressible cell matrix. Utilizing non-singular cardinal sine distributions (+/-sinc(x)), the mathematical infrastructure of Coulomb interactions is stripped of point-like vector infinities at the core. Physical forces are reinterpreted as localized holographic interference figures: single charges in a state of rest maintain spherical structural symmetry, whereas approaching like charges generate steep spatial compression "spikes" (+1) leading to repulsion, and opposite charges achieve a complementary "lock-and-key" phase locking forming an interference "hole" (-1) resulting in external hydrostatic attraction. Finally, the Compton effect is rigorously mapped not as particle scattering in a void, but as a non-elastic mechanical collision between a propagating autowave packet of micro-bubbles and the rotating boundary of a macro-bubble core, validating the structural perimeter of the electronic vortex without invoking Planck’s constant.