What question did this study set out to answer?

This research aims to derive a coupling coefficient from the algebraic structure of A4, predicting fermionic masses more accurately.

March 16, 2026Open Access

TUF Layer 3 — The Spectral Coupling Coefficient: Derivation of c = −2/nμ from the Degeneracy of DΞ in A4

Puntos clave

This research aims to derive a coupling coefficient from the algebraic structure of A4, predicting fermionic masses more accurately.
Derivation based on the degeneracy of the spectral Dirac operator DΞ in atemporal hyperspace Ξ.
Algebraic analysis of Clebsch-Gordan coefficients in the context of A4.
Verification through Python code as described in Appendix B.
Achieved a muon error reduction from 0.0016% to 0.0000348%.
The tau error improved to 0.0000377%.
Combined error improvement exceeds 3000× compared to Layer 1.

Resumen

The Floriano Unified Theory (TUF) predicts fermionic masses via the spectral Dirac operator DΞ = DZ9 ⊗ I23 + I9 ⊗ DZ23 over the atemporal hyperspace Ξ. In Layer 2 the muon error was reduced from 0. 112% to 0. 0016%. A residual coefficient c ≈ −0. 009888 multiplying the coupling operator S⊗S persisted. In this Layer 3 we derive this coefficient from the algebraic structure of A4: the degeneracy of D₀₄, ₉ at λ₀ = −√3/2 with multiplicity 2 generates two sectors under S⊗S, with exact Clebsch–Gordan coefficients CG₃₀ = −1/3 (antisymmetric) and CG₃ₒ = +5/9 (symmetric). The muon belongs to the 3A sector. The topological quantisation condition yields c = −2/207. With this single derived coefficient and zero free parameters, the muon error falls to 0. 0000348% and the tau error to 0. 0000377% — a combined improvement of more than 3000× over Layer 1. A Python verification code is included in Appendix B. This paper is part of the TUF series: - Paper 0 (Ontological Foundation): https: //doi. org/10. 5281/zenodo. 19024705- Paper 1 (Fermion masses): https: //doi. org/10. 5281/zenodo. 18988060- Paper 2 (Three generations): https: //doi. org/10. 5281/zenodo. 18991190- Paper 3 (Dark matter): https: //doi. org/10. 5281/zenodo. 18991306- Paper 5 (Cosmological constant): https: //doi. org/10. 5281/zenodo. 19024913- Paper 6 (Spectral fixed point): https: //doi. org/10. 5281/zenodo. 19025379- Paper 7 (Atomic spectra): https: //doi. org/10. 5281/zenodo. 19025651

Leer artículo completoexternamente

Me gusta

Guardar

Ver artículo completo