Neutrino Masses and the Resolution of Standard Model Puzzles in the Complex-Time Unified Field Theory
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2026
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| _version_ | 1866901224465367040 |
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| author | li, yuanjian |
| author_facet | li, yuanjian |
| contents | <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> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19212422 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Neutrino Masses and the Resolution of Standard Model Puzzles in the Complex-Time Unified Field Theory li, yuanjian Complex-Time Unified Field Theory CTUFT Standard Model parameters \(M_* = 1.2\times10^{16}\,\text{GeV}\) \(\kappa(\tau) = 1/\cosh(\sqrt{2}\pi M_* \tau)\) Kaluza–Klein excitation six-dimensional Dirac spinor <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> |
| title | Neutrino Masses and the Resolution of Standard Model Puzzles in the Complex-Time Unified Field Theory |
| topic | Complex-Time Unified Field Theory CTUFT Standard Model parameters \(M_* = 1.2\times10^{16}\,\text{GeV}\) \(\kappa(\tau) = 1/\cosh(\sqrt{2}\pi M_* \tau)\) Kaluza–Klein excitation six-dimensional Dirac spinor |
| url | https://doi.org/10.5281/zenodo.19212422 |