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. 110 published papers 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 = 0.74–0.95 N (asymmetric propulsion, DEFINITIVE · Paper LXXIII · Jul 1 2026), 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 = 0.026 +0.009/−0.025 — Horndeski running-sector coupling (DEFINITIVE · Paper LXXIII · Jul 1 2026)
- Pe = 2.02 — biological Péclet number at r = 75 nm (Papers VIII & IX)
- F_prop = 0.74–0.95 N — propulsion force (1 kg, A = 3, L = 1 m, Paper VII & LXXIII)
Multi-Scale Coverage
| Scale | Length | Status |
|---|---|---|
| Nuclear (²⁹⁹₁₁₉Uue) | 8 fm | ΔB=0 exact (Paper V) |
| Biological ECM | 10–100 nm | Pe=2.02 confirmed (Paper VIII) |
| Lab torsion balance | 5 cm–1 m | Pre-data δF/F~10⁻⁵ (Paper XII) |
| Propulsion sheath | 1 m | F=0.74–0.95 N (Paper VII, DEFINITIVE · LXXIII) |
| Galactic maser | 6.30 Gly | <0.4σ (Paper II) |
| Cosmic CMB/SN/BAO | 3–14 Gly | R̂-1=0.0099 (Paper I) |
Total length ratio: 1.31×10⁴⁰ · Free parameters added per scale: zero.