Paper CLXXXVI: The β_τ Derivation: Maxwell Conformal Invariance (ε_r Unchanged) · Scalar Ion-Channel Gating β_τ ~ k_E = 1.92 at Thermal Threshold · Faraday Ratio 5% Scalar/95% EM · Im S_ij Amplitude Fully Specified · Closes O2/GF3 · July 26 2026 | Trust Scalar

Paper CLXXXVI: The β_τ Derivation: Maxwell Conformal Invariance (ε_r Unchanged) · Scalar Ion-Channel Gating β_τ ~ k_E = 1.92 at Thermal Threshold · Faraday Ratio 5% Scalar/95% EM · Im S_ij Amplitude Fully Specified · Closes O2/GF3 · July 26 2026. Part of the Living Theory of Everything series, E(C) = mc²·e^(kC), k=1.92. Zenodo pending.

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 189 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).