Field Equations for the Faster-Than-Light Theory

This paper presents the foundational field equations for our Faster-Than-Light (FTL) Theory of Everything (TOE)1, establishing a dual-field hydrodynamic framework that replaces the abstract geometric constructs of General Relativity and proves the origin of Quantum Mechanics. We demonstrate that space and time (the speed of light) are modulated by the local density of a physical, non-compressible Faster-Than-Light (FTL) medium. By separating the dynamics into the FTL density field (nFTL) and the light-space envelope field (Ψc), we derive the classical macroscopic laws of Newton and Coulomb (the 1/r2 decay) as a static envelope limit (∂tΨc=0, which we show is the macroscopic limit in the FTL TOE), while naturally generating the complex Schrödinger equation with the Planck’s scale directly from the same equation, at the microscopic limit. These equations and analysis validate our FTL theory as the TOE.