Neutrino Masses and the Resolution of Standard Model Puzzles in the Complex-Time Unified Field Theory

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 \(M_* = 1.2×10¹⁶\,GeV\). Using the exact solution of the fibre geometry \(κ(τ) = 1/(√2π M_* τ)\), we compute the right-handed neutrino mass as the first Kaluza–Klein excitation of the six-dimensional Dirac spinor, yielding \(M_R = 6.4×10¹⁶\,GeV\). The Yukawa coupling is obtained as an overlap integral of the zero-mode and first-excited wavefunctions with the Higgs profile, giving \(y_ν ≈ 0.08\). The seesaw mechanism then predicts a left-handed neutrino mass \(m_ν ≈ 0.06\,eV\), consistent with atmospheric neutrino oscillations. The PMNS mixing angles are computed by diagonalizing the three-generation mass matrix, resulting in \(θ₁₂≈ 33^∘\), \(θ₂₃≈ 45^∘\), \(θ₁₃≈ 8.5^∘\), in excellent agreement with experimental data. The effective Majorana mass for neutrinoless double beta decay is predicted to be \(mββ≈ 0.02\,eV\), 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.