Theoretical preprint develops a geometric-temporal framework for muon and tau decays, indicating new prediction possibilities.
This theoretical preprint develops a geometric-temporal interpretation of muon and tau decays and of the associated neutrino component within the OUXSPACE framework. The electron, muon, tau, proton, neutron, and neutrino are treated as observable labels of stable, metastable, or transitional regimes rather than as primary point-like objects with preassigned properties. The construction is based on multidimensional sector architecture, the primacy of internal period, nonlinearity, rotational cyclicity, closure, inter-sector coupling, projection-lock, and boundary readout. It introduces a nonlinear closure-wave operator framework and distinguishes charge readout, closure energy-norm, lifetime stability, observable projection, and candidate neutrino boundary modes. The numerical sections examine α⁻¹ ≈ 137, mμ/me ≈ 206.768, mτ/me ≈ 3477, and mp/me ≈ 1836.152673. Measured quantities are used either as external comparators or, where explicitly identified, as spectral or family anchors. The results therefore have distinct formal statuses: conditional numerical audit, family reconstruction, or an open operator-level prediction problem. Numerical proximity alone is not presented as proof. The physical significance of the framework depends on the independent derivation of the common spectral anchor, geometric coefficients, branch-selection rules, and transition dynamics from a single fixed operator system. The preprint includes explicit limitations, falsification criteria, nine conceptual operator schematics, and detailed numerical audit appendices.
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Balevsky et al. (2026) studied this question.
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