Registry · Theorem
V.T192
tau-effective
formalized
V.T192 — First Peak from Holonomy Matter Fraction
First acoustic peak ℓ₁ = 220.6 at +2840 ppm (+0.28%) from Planck 220.0±0.5, using ch45 holonomy matter fraction ω_m/ω_b = 1+(1−ι_τ)/ι_τ². The Friedmann integral chain: ι_τ → ω_b,ω_m → r_s,d_A → θ_* → ℓ_A → ℓ₁. Zero free parameters beyond ι_τ and T_CMB. Better agreement than ΛCDM readout control (+0.68%).
Book V
Part 6
Ch. 56