A Universal Variational Equation for Fundamental Physics

This work introduces a universal variational equation unifying quantum mechanics, relativity, gauge interactions, and gravity. The framework reproduces the Standard Model and General Relativity in the appropriate limits and provides quantitative predictions for fundamental constants, particle masses, dark energy density, inflationary parameters, fermion hierarchies, proton stability, sterile neutrinos, and gravitational signatures. The theory is falsifiable through ongoing and future experiments, including proton decay searches, dark matter detectors, and gravitational wave interferometers.