VEQF_ Unified Theory of Matter, Gravity, and Chromatic Light Propagation

VEQF: Unified Theory of Matter, Gravity, and Chromatic Light Propagation This monograph presents a complete synthesis of the Vacuum Energy Quanta Field (VEQF) framework—a unified theory where a single indestructible, elastic vacuum medium generates all physical phenomena through topological soliton dynamics. The framework comprises three core modules: (1) Mass Emergence Model (MEM)—exact hadron mass prediction (0.000% error) via dual-frequency interference of toroidal solitons characterized by integer Topological Compatibility Index (TCI), with proton ground state validated as silver-ratio fixed point through the empirical Wang relation 2m²u = m²d, confirming the Principle of Least Tension (LTP) as a physical constraint rather than a philosophical postulate; (2) Gravity Emergence Model (GEM)—Newtonian gravity derived from first principles without assuming 1/r², validated against 13 celestial bodies with 0.02% RMS error in binding energy, with G reinterpreted as vacuum flow admittance incorporating the mysterious K-factor; (3) Chromatic Light Propagation—gravitational lensing as refractive phenomenon in dispersive vacuum GRIN medium, predicting image separations for 20 strong lens systems to within 0.3% accuracy with inherent chromaticity (γ = −0.0025). The Principle of Least Tension is empirically validated through proton stability and the silver-ratio optimization derived from Wang's (2025) observation of the frequency ratio between down and up quark modes. The silver ratio conjugate (√2 − 1) ≈ 0.414 emerges as the mathematical signature of minimal ripple entropy in the interference between TCI=2 and TCI=3 windings. Dark matter is explained as inert high-TCI solitons (TCI 4–13) scaffolding early energy density gradients. Black holes are terminal coherent hopfions with finite relaxation timescales (~15 s per solar mass), no singularities and no Hawking evaporation. All results emerge from a single ontological premise with no free parameters beyond lattice scale (lq = 10⁻²⁰ m) and transactional time (Δτ = 10⁻¹⁸ s). Work in progress, subject to change without notice.