Relativistic mass and energy recovery from the Quo Vadis Effect as an extension of Newtonian gravity

We present a theoretical derivation of relativistic mass and energy relations based on the Quo Vadis Effect (QVE), a signal-based model of gravity where mass is perceived through finite-speed graviton fluxes. In this framework, the apparent increase in effective mass with velocity arises from Doppler modulation of the gravitational signal rather than from postulates of Special Relativity. By considering blue-shift during acceleration and red-shift during deceleration, and combining them through geometric averaging, we recover the standard relations m=γm₀, K=(γ-1)m₀c², and E=m₀c². This provides a mechanism linking Newtonian gravity with relativistic dynamics. The QVE reproduces key experimental and astrophysical results such as the Bertozzi experiment and Mercury’s perihelion precession, demonstrating its potential as an extension of General Relativity. The framework also aligns with a quantum interpretation of gravity, as the interaction is mediated by gravitons, suggesting a conceptual bridge between classical and quantum physics.