Galaxy Rotation Curve (NGC 3198)

τ-Formula

v∞⁴ = G·M_b·c² / (2ℓ_τ) → v = 149.1 km/s

Derivation

Systematic assessment of all predictions above $5000\,ppm$ after Wave 49 corrections:

The QLC $θ_12$ and $η$ pentagon entries represent structural limits: they require qualitatively new mathematical insight (exact $θ_C$ NLO coupling for $θ_12$; complex geometry resolution for $η$), not incremental NLO engineering.

• $θ_13$: $+5000\,ppm$ (sub-$1%$, $1.6σ$),
• $θ_12$: $+3106\,ppm$ (approaching $τ$-effective),
• $θ_23$: $-494\,ppm$ (NNLO, sub-$1000$),
• $δ_CP$: $+5645\,ppm$ (NLO, improved $40%$).

Source

This prediction is derived in the Numerical Physics Ledger (Chapter 35 — three-generations), Books IV–V of Panta Rhei.