Salvato in:
| Autore principale: | |
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| Natura: | Recurso digital |
| Lingua: | inglese |
| Pubblicazione: |
Zenodo
2026
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| Soggetti: | |
| Accesso online: | https://doi.org/10.5281/zenodo.19212422 |
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Sommario:
- <p>We present a complete derivation of neutrino masses and mixing angles within the Complex-Time Unified Field Theory (CTUFT), a unified framework that derives all Standard Model parameters from a single geometric scale \(M_* = 1.2\times10^{16}\,\text{GeV}\). Using the exact solution of the fibre geometry \(\kappa(\tau) = 1/\cosh(\sqrt{2}\pi M_* \tau)\), we compute the right-handed neutrino mass as the first Kaluza–Klein excitation of the six-dimensional Dirac spinor, yielding \(M_R = 6.4\times10^{16}\,\text{GeV}\). The Yukawa coupling is obtained as an overlap integral of the zero-mode and first-excited wavefunctions with the Higgs profile, giving \(y_\nu \approx 0.08\). The seesaw mechanism then predicts a left-handed neutrino mass \(m_\nu \approx 0.06\,\text{eV}\), consistent with atmospheric neutrino oscillations. The PMNS mixing angles are computed by diagonalizing the three-generation mass matrix, resulting in \(\theta_{12}\approx 33^\circ\), \(\theta_{23}\approx 45^\circ\), \(\theta_{13}\approx 8.5^\circ\), in excellent agreement with experimental data. The effective Majorana mass for neutrinoless double beta decay is predicted to be \(m_{\beta\beta}\approx 0.02\,\text{eV}\), accessible to next-generation experiments. Beyond neutrinos, we show that CTUFT naturally resolves the gauge hierarchy problem, explains the origin of dark matter as Kaluza–Klein particles, and provides a dynamical mechanism for the cosmological constant. All predictions are parameter-free and derived solely from the geometry of complex time.</p>