Physics Ledger · Prediction
Cosmology
Conjectural
1–5%
Baryon Asymmetry η_B
Baryon Asymmetry η_B: τ-value 6.09!×!10⁻¹⁰, observed 6.14!×!10⁻¹⁰, deviation -1%.
Prediction
τ-Formula
τ-Value
6.09!×!10⁻¹⁰
Observed
6.14!×!10⁻¹⁰
Deviation
-1%
τ-Formula
η_B = α · ι_τ¹⁵ · (5/6) ≈ 6.09 × 10⁻¹⁰
Derivation
The electromagnetic coefficient $3/20$ admits a structural decomposition discovered in Wave 6 (Registry IV.T169, IV.T170, IV.P201):
This connects the proton–neutron splitting to the same Waring number $W_3(4) = 5$ that governs the NLO corrections to electroweak observables (Section (sec:ch60-ew-precision)). The numerator is the number of colours; the denominator is four times the Waring number. No free parameters appear. The entire calculation is a chain of topological integers and the single transcendental $ι_τ$.
Source
This prediction is derived in the Physics Ledger (Chapter 60 — mass-spectrum), Books IV–V of Panta Rhei.