Decoherence spectrum of the Standard Model: CKM and PMNS from electromagnetic charge

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Abstract

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…

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Topics & keywords

Keywords
  • Electroweak interaction
  • Quantum decoherence
  • Fermion
  • Cabibbo–Kobayashi–Maskawa matrix
  • CP violation
  • Standard Model (mathematical formulation)
  • Quark
  • Mixing (physics)
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