What question did this study set out to answer?

To derive the Wolfenstein A parameter using the face-spectral complement of the lower T₁u eigenvalue.

April 19, 2026Open Access

The Wolfenstein A Parameter from Face-Spectral Complement: A = (F−r₁)/F

Puntos clave

To derive the Wolfenstein A parameter using the face-spectral complement of the lower T₁u eigenvalue.
Derivation of A = (F−r₁)/F from eigenvalue definitions
Calculation utilizing face count and left-handed eigenvalue
Resolution of tension metrics associated with previous values
Wolfenstein A parameter found to be 0.82583
Tension reduced from -1.1σ to -0.015σ
Four Wolfenstein parameters derived from cell integers at less than 0.4σ tension

Resumen

We derive the Wolfenstein A parameter as the face-spectral complement of the lower T₁u eigenvalue: A = (F−r₁) /F = (19+√17) /28 = 0. 82583, where F = 14 is the face count and r₁ = (9−√17) /2 is the left-handed T₁u eigenvalue. This resolves the previous −1. 1σ tension to −0. 015σ. The formula has a direct physical interpretation: the fraction r₁/F is the spectral weight of the first-generation (left-handed) eigenvalue on the face graph, and A is the remaining fraction available for second-generation mixing. Combined with Papers #51 and #64, all four Wolfenstein parameters (λ, A, ρ̄, η̄) are now derived from cell integers at better than 0. 4σ individual tension. Part of the Unified Foam Field Theory series. Priority date: 20 February 2026. This paper closes the NLO Wolfenstein programme: combined with Paper #51 (NLO λ), Paper #64 (NLO ρ̄), and Paper #67 (NLO η̄/δCKM), all four Wolfenstein parameters are now derived from cell integers at better than 0. 4σ individual tension. Independently verifiable; see companion repository at https: //github. com/WebEnvy/UnifiedFoamFieldTheory.

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