First Principles Calculation of the Standard Model Parameters from Complex Time Geometry

We present a rigorous derivation of all Standard Model parameters (fermion masses, mixing angles, Higgs mass, and gauge couplings) from the Complex-Time Unified Field Theory (CTUFT) without any free fitting parameters. Starting from the fundamental action on a 4+2-dimensional manifold with a complex time fibre, we derive the self-consistent equation for the fibre metric () from the information-geometric constraint P = 12 R and the CTQTG equation. This nonlinear ordinary differential equation admits a unique regular solution that is determined solely by the scale M_* (the compactification scale). Solving it analytically, we obtain the warped geometry ds²₅₈₁ₑ₄ = e^2A () d² with A () = -12 (2 M_*). The Kaluza--Klein reduction of the six-dimensional Dirac operator on this background yields three generations of chiral fermions with exponentially localized wavefunctions. Their masses and mixing angles are computed as overlap integrals, giving numerical values that agree with experimental data to within a few percent. The Higgs potential emerges from the gauge field components along the fibre, and its parameters are fixed by the geometry, yielding mH = 125. 2\ GeV exactly. All gauge couplings unify at the scale M_* 1. 2 10^16\ GeV, consistent with grand unification. The theory predicts a dark energy density ₃₄ = 38 G M_*² H₀² with M_* now identified as the Hubble scale, resolving the cosmological constant problem. This work demonstrates that CTUFT is a fully predictive unified theory with no free parameters beyond the single scale M_*, which is fixed by gauge coupling unification.