Matter-to-Baryon Ratio ω_m/ω_b

τ-Formula

ω_m/ω_b = 1 + (1 − ι_τ)/ι_τ² ≈ 6.655

Derivation

m_c = m_t(τ) × ι_τ^105/23 = 172,440 × 0.007391 = 1,274.5\;MeV

at $+1,150$ ppm from PDG $m_c(MS, m_c) = 1,273 ± 4$ MeV (within $0.4σ$).

Exponent decomposition. The exponent $105/23$ factorises intrinsically:

10523 = (τ^3) · W_3(4) · n_Ha_3 + 2\,W_3(4) = 3 × 5 × 713 + 10,

Source

This prediction is derived in the Numerical Physics Ledger (Chapter 36 — koide-mass-hierarChapter ies), Books IV–V of Panta Rhei.