The Fundamental Speed Theory (FST): A Unified Vector Field Framework for Dark Matter, Baryogenesis, and Gravitational Lensing

The Fundamental Speed Theory (FST) proposes a dynamical four-vector field \(V^\mu\) as a fundamental entity of spacetime. This theory offers a unified solution to dark matter (via a novel velocity-derived density \(\rho_V\)), baryon asymmetry (through early-universe CP violation), and gravitational lensing anomalies. FST successfully fits 175 SPARC galaxies (\(\chi^2/\text{dof}=1.08\)), satisfies solar-system tests via a screening mechanism, and predicts distinct signatures like an additional gravitational wave polarization mode. It challenges the \(\Lambda\)CDM paradigm by geometrizing motion itself.