Complete Derivation of Standard Model Parameters from TSQVT Spectral Data: Quantitative Predictions and Experimental Protocols

We present a systematic, rst-principles derivation of Standard Model coupling constants and
fermion masses from the spectral geometry of the Twistorial Spectral Quantum Vacuum Theory
(TSQVT). The framework combines Connes' spectral action with the internal algebra AF =
C⊕H⊕M3(C) and incorporates the dynamical condensation parameter ρ(x,t) of TSQVT,
which naturally generates the observed parameter hierarchy. Calculated coupling constants
agree with experiment within 0.2%: α−1(low energy) = 136.84±0.52 (exp. 137.036), sin2 θW =
0.2315±0.0008 (exp. 0.23122), and mW/mZ = 0.8810±0.0005 (exp. 0.88147). The number of
generations ngen = 3 emerges from topological constraints. Fermion masses are obtained within
5%: me = 0.489 MeV, mµ = 107.2 MeV, mτ = 1.80 GeV, and mt = 174.8 GeV (1.2% error).
The model yields distinctive, falsi able predictions: sound speed at critical condensation cs(ρ =
2/3) = c, objective collapse time τcollapse = 87±15 ms for m = 10−14 kg, spectral chirp photons
Eγ = 1.2±0.1 keV, and an auxetic Poisson ratio ν(ρ → 1) = −0.50 ± 0.02. All outputs are
determined by four geometric parameters of the spectral manifold Σspec, reducing the number of
free parameters by 85% relative to the Standard Model. We provide a complete computational
pipeline (Python/SymPy), Monte Carlo uncertainty analysis (N = 104 samples), and detailed
experimental protocols. The GUT-scale relation sin2 θW = 3/8 follows from twistorial weight
asymmetry, with the low-energy value obtained via renormalization-group running.