Complete Derivation of Standard Model Parameters from TSQVT Spectral Data: Quantitative Predictions and Experimental Protocols
Abstract
We present a systematic, rst-principles derivation of Standard Model coupling constants andfermion 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 constantsagree 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 ofgenerations ngen = 3 emerges from topological constraints. Fermion masses are obtained within5%: 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 photonsEγ = 1.2±0.1 keV, and an auxetic Poisson ratio ν(ρ → 1) = −0.50 ± 0.02. All outputs aredetermined by four geometric parameters of the spectral manifold Σspec, reducing the number offree parameters by 85% relative to the Standard Model. We provide a complete computationalpipeline (Python/SymPy), Monte Carlo uncertainty analysis (N = 104 samples), and detailedexperimental protocols. The GUT-scale relation sin2 θW = 3/8 follows from twistorial weightasymmetry, with the low-energy value obtained via renormalization-group running.
Fields of Study & Subjects
Particle physics theoretical and experimental studies
Advanced Mathematical Theories and Applications
Relativity and Gravitational Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 15 January 2026
- Document type
- Preprint