Modified Einstein Equation

I propose a structural correction to Einstein's mass-energy relation: E = mc²(1 − v_S/c), where v_S is a particle-specific structural velocity arising from geometric friction between a particle's topological structure and the spacetime substrate.

The correction is small (v_S/c ≈ 0.055 for the proton) but non-zero for all massive particles. Its magnitude determines three previously disconnected phenomena:

-Particle stability, stable particles are detuned from substrate resonances; unstable particles are near them. This is WHY the proton is stable and the Delta baryon is not.

-Decay rates, the substrate coupling governs how fast unstable particles dissipate. The framework predicts 27 strong-decay widths at r = 0.87 and the neutron lifetime to 0.17%, with zero fitted parameters.

-The cosmological constant, the energy deficit mc² − E = mc²(v_S/c) is absorbed by the substrate. Over cosmological time, this accumulated structural friction IS dark energy. The framework predicts Ω_Λ = 0.6831 (exp: 0.6830, error, 0.24%).

The equation preserves Lorentz covariance, v_S is a Lorentz scalar, not a preferred frame. The full relativistic form is E² = (pc)² + [mc²(1 − v_S/c)]².

This equation arises from Unified Structural Theory (UST), a geometric framework that has produced 32 sub-1% predictions of fundamental constants — including the proton charge radius (0.02%), fine structure constant (0.19%), Weinberg angle (0.05%), complete CKM and PMNS mixing matrices, and the CMB temperature (0.00%), all from a single geometric structure with zero free parameters.

The CMB is not merely a relic of the Big Bang. It is the current thermal state of the substrate, continually heated by the structural friction of every particle in the universe. Heat is the last echo of dissolved structure.