Topological Geometry of Neutrino Mass and Mixing

Enrique Arrieta-Diaz

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arXiv · 2609.31406

Topological Geometry of Neutrino Mass and Mixing

Enrique Arrieta-Diaz

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Abstract

This Letter transitions neutrino mixing from an empirical fit to a geometric law by analytically deriving the PMNS mixing angles and mass spectrum from an $A_5$ topological manifold. Solving the Quantum Yang-Baxter Equation forces a geometric fracture at $M_0 \approx 3.88 \times 10^{16}$ GeV. Projecting this to the Electroweak scale yields parameter-free targets: maximal CP violation $δ_{CP} = \pm π/2$, a mass sum $\sum m_i \approx 72.48$ meV, with $m_1 < m_3$, and effective masses $m_β\approx 12.47$ meV and $m_{ββ} \approx 8.20$ meV, setting definitive experimental thresholds.

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Enrique Arrieta-Diaz. 2026-09-28. Topological Geometry of Neutrino Mass and Mixing. https://arxiv.org/abs/2609.31406

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