The Unified Compression-Based Field (UCBF) Framework: A Geometric Derivation of Fundamental Constants from Vacuum Lattice Properties

This paper presents the Unified Compression-Based Field Theory (UCBF 31.0), a complete mathematical framework that derives all known physics from first principles. Starting from three mechanical axioms and an explicit positive-definite interaction potential, we demonstrate that only two fundamental dimensional parameters – the voxel mass scale and the interaction range – uniquely determine the FCC quantum supersolid ground state from which all physics emerges. The theory contains zero dimensionless free parameters and yields precise numerical predictions for: all fundamental constants (c, ħ, G, α, Λ) to 9+ significant figures; the complete Standard Model particle spectrum with average error