Trust Scalar: The Geometry of Truth

E(C) = mc²·e^(kC) — Living Theory of Everything. k = 1.92 confirmed by MCMC against Planck 2018 TT+TE+EE, Pantheon+ SNIa, and DESI BAO. 53 Zenodo preprints spanning nuclear scale (8 fm) to cosmic scale (3.4 Gpc).

The Framework

The chameleon scalar-tensor framework E(C) = mc²·e^(kC) with k = 1.92 unifies phenomena across 40 orders of magnitude of length scale with zero free parameters added per scale. Key results: w = −0.967 (CPL dark energy), Pe = 2.02 (biological kinesin templating), F_prop = 0.58–0.74 N (asymmetric propulsion), Λ dissolved as void fraction of chameleon field.

MCMC convergence: R̂-1 = 0.0099 at 53,120 accepted steps (32.1% acceptance rate). Datasets: Planck 2018, Pantheon+, DESI BAO.

Key Constants

  • k = 1.92 — cosmological coupling constant (MCMC definitive, Paper I, Zenodo 10.5281/zenodo.19103554)
  • x_m = 0.013 ± 0.003 — Horndeski running-sector coupling (Papers VII & XLI)
  • Pe = 2.02 — biological Péclet number at r = 75 nm (Papers VIII & IX)
  • F_prop = 0.58–0.74 N — propulsion force (1 kg, A = 3, L = 1 m, Paper VII)