Physics Ledger · Prediction
Particle Physics
τ-Effective
Sub-10 ppm
NNLO Coefficient k
NNLO Coefficient k: τ-value 7.5, observed –, deviation -8.2~ppm.
Prediction
τ-Formula
τ-Value
7.5
Observed
–
Deviation
-8.2~ppm
τ-Formula
k = (15/2) = dim(τ³) · W₃(4) / lobes = 7.5
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.