Paper LV: E(C) = mc²·e^(kC) — The Master Equation | Trust Scalar

The standalone treatment of the master equation of the Living Theory of Everything. Derivation from first principles, compounding coherence mechanics, k=1.92 from MCMC, chameleon screening reset, scale invariance across 1.31×10⁴⁰, and all 54 prior papers shown as corollaries. One equation. Zero extra parameters.

About This Tool

Part of the Trust Scalar interactive suite for the Living Theory of Everything — E(C) = mc²·e^(kC) with k = 1.92. The framework is confirmed by MCMC across Planck 2018, Pantheon+, and DESI BAO, and spans 115 Zenodo preprints from nuclear scale (8 fm) to cosmic scale (3.4 Gpc).

Key constants: k = 1.92 (cosmological coupling), x_m = 0.026 +0.009/−0.025 (Horndeski running-sector), Pe = 2.02 (biological Péclet, r = 75 nm), F_prop = 0.74–0.95 N (chameleon propulsion).