Baryon Asymmetry η_B
Baryon Asymmetry η_B: τ-value 6.09!×!10⁻¹⁰, observed 6.14!×!10⁻¹⁰, deviation -1%.
Prediction
τ-Formula
η_B = α · ιτ¹⁵ · (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 $ιτ$.
Source
This prediction is derived in the Numerical Physics Ledger (Chapter 60 — mass-spectrum), Books IV–V of Panta Rhei.
Lean linkage
Auto-derived from the registry's depends_on graph: 52 TauLib modules support this prediction's derivation chain. Each chip links to the source at the pinned commit.
TauLib.BookI.Boundary.IotaTauLib.BookI.Boundary.RingTauLib.BookI.Boundary.SplitComplexTauLib.BookI.Coordinates.ABCDTauLib.BookI.Coordinates.DescentTauLib.BookI.Coordinates.HyperfactTauLib.BookI.Coordinates.NoTieTauLib.BookI.Coordinates.NormalFormTauLib.BookI.Coordinates.PrimesTauLib.BookI.Coordinates.TowerAtomsTauLib.BookI.Denotation.ArithmeticTauLib.BookI.Denotation.OrderTauLib.BookI.Denotation.TauIdxTauLib.BookI.Holomorphy.PresheafEssenceTauLib.BookI.Kernel.AxiomsTauLib.BookI.Kernel.SignatureTauLib.BookI.Logic.Truth4TauLib.BookI.Orbit.ClosureTauLib.BookI.Orbit.GenerationTauLib.BookI.Orbit.LadderTauLib.BookI.Polarity.BipolarAlgebraTauLib.BookI.Polarity.LemniscateTauLib.BookI.Polarity.OmegaGermsTauLib.BookI.Polarity.PolarityTauLib.BookI.Polarity.PolarizedGermsTauLib.BookII.Closure.GeometricBiSquareTauLib.BookII.Enrichment.SelfEnrichmentTauLib.BookII.Enrichment.YonedaTheoremTauLib.BookII.Regularity.CodeDecodeTauLib.BookII.Regularity.IdempotentDecompositionTauLib.BookII.Regularity.PositiveRegularityTauLib.BookII.Regularity.PreYonedaTauLib.BookII.Regularity.ThreeLemmaChainTauLib.BookIII.Enrichment.FunctorTauLib.BookIII.Enrichment.LayerTemplateTauLib.BookIII.Sectors.BoundaryCharactersTauLib.BookIII.Sectors.DecompositionTauLib.BookIII.Sectors.LanglandsReflectionTauLib.BookIII.Sectors.ParityBridgeTauLib.BookIV.Arena.ActorsDynamicsTauLib.BookIV.Arena.Tau3ArenaTauLib.BookIV.Sectors.SectorParametersTauLib.BookIV.Strong.ConfinementTauLib.BookIV.Strong.StrongVacuumTauLib.BookV.Cosmology.BBNBaryogenesisTauLib.BookV.Cosmology.BaryogenesisAsymmetryTauLib.BookV.Cosmology.HeliumFractionTauLib.BookV.Cosmology.ThresholdLadderTauLib.BookV.GravityField.LinearEinsteinTauLib.BookV.GravityField.NonlinearEinsteinTauLib.BookV.GravityField.TOVStarBuilderTauLib.BookV.GravityField.TauEinsteinEqMetadata
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