Decoherence spectrum of the Standard Model: CKM and PMNS from electromagnetic charge
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Description
The three mixing matrices of the Standard Model — CKM (quarks), PMNS (neutrinos), and the trivial identity matrix (charged leptons) — are shown to be three manifestations of a single exponential decoherence process in generation space. The base decoherence rate gamma = N_c x T_F = 3/2 approximately reproduces the Cabibbo angle from the color gauge group (0.6%, 3.5 sigma). Four empirical constraint equations relate the full CKM matrix to quark masses with no free parameters. The framework also predicts two PMNS mixing angles from quark masses: sin(theta_12)^PMNS = sqrt(m_c/m_b) = 0.551 (measured 0.550, 0.14%) and sin(theta_13)^PMNS = sqrt(m_s/m_b) = 0.149 (measured 0.148, 0.71%). All predictions are falsifiable by next-generation lattice QCD and neutrino oscillation experiments.
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