THE UNIFIED COMPRESSION-BASED FIELD THEORY (UCBF) Complete Geometric Version with Coherence Dynamics and Emergent Gauge Theory

The Unified Compression-Based Field Theory (UCBF) presents a complete derivation of physical reality from geometric first principles. The theory begins with four axioms describing identical spin-0 bosons ("voxels") interacting through a positive-definite potential. These axioms uniquely determine a face-centered cubic (FCC) quantum supersolid ground state with lattice constant a = 1.3729 × 10^(-15) m and voxel mass m_0 = 3.3258 × 10^(-28) kg. This formulation introduces two universal dynamical laws derived from microscopic physics: · Coherence-Curvature Law: Governs how coherence responds to geometric disorder, derived from Gross-Pitaevskii dynamics. · Coherence-Limited Propagation Law: Constrains local signal speed as a function of coherence, derived from phonon dispersion. These laws establish the hierarchy Geometry → Coherence → Causality and provide the dynamical backbone for UCBF's geometric ontology. From the FCC lattice and coherence dynamics, the theory derives: · All fundamental constants (c, ħ, G, α, Λ) with quantified uncertainties. · The Standard Model gauge group SU(3) × SU(2) × U(1) from FCC defect topology. · Complete particle spectrum (leptons, quarks, bosons) as topological defects. · General relativity as emergent elasticity. · Quantum field theory from collective coordinates. · Cosmology from lattice relaxation with CMB predictions. All predictions are explicit, quantitative, and falsifiable with clear experimental tests.