Physics Ledger · Prediction Astrophysics τ-Effective 1–5%

Galaxy Rotation Curve (NGC 3198)

Galaxy Rotation Curve (NGC 3198): τ-value 149.1~km/s, observed ≈!150~km/s, deviation 0.6%.

Prediction

τ-Formula
v⁴ = GMb c²/(2ℓ_τ)
τ-Value
149.1~km/s
Observed
≈!150~km/s
Deviation
0.6%

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:

Observable Before After Status                        
$θ_23$ (IV.T206) $+8604$ $-494$ NNLO, sub-1000 $δ_CP$ (IV.T207) $+9365$ $+5645$ NLO, 40% improved $m_μ/m_e$ (IV.T176) $+6156$ $-8.2$ NNLO done (Wave 6D) QLC $θ_12$ (IV.T163) $-41965$ $-41965$ structural limit $η$ pentagon (IV.D359) $+75275$ $+75275$ structural limit

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 Physics Ledger (Chapter 35 — three-generations), Books IV–V of Panta Rhei.

Registry

Canonical derivation in Book V.

Metadata

DomainAstrophysics
Precision Tier1–5%
Scopeτ-Effective
Registry IDV.T163
Canonical BookBook V