Muon lifetime is the decay rate of a metastable radial vortex excitation

Purpose

Treat the muon as a radially excited vortex mode and compute its decay lifetime via phase-winding relaxation.

What it proves

The simulation yields $\tau_{\mu} = 2.1873$ µs — within $0.42\,\%$ of the PDG value, with no free parameters after fixing the electron mode.

Relation to current theory

The Standard Model fits muon decay through Fermi's constant and the W boson (one new particle + one coupling). SVT uses only the GPE nonlinearity $g$ , pre-set from sim_07.

Plots

Scalar metrics

G_F0.000011664 GeV⁻²

Phase-space f(ρ)0.999813

Healing length ξ0.7071

Density fidelity F(t) range0.9016 [, 1.0000]

Agreement0.42

stdout tail

    Agreement            = 0.42%

  τ_μ (tree) ≈ τ_exp (<1%)          : PASS   (2.1873 μs)
  Phase-space f(ρ) ≈ 1               : PASS   (0.999813)
  GPE density fidelity (F > 0.85)     : PASS   (min = 0.9016)
  Γ_fit ≈ 2γ (<5%)                   : PASS   (0.0300 vs 0.0300)
  m⁵ scaling (Fermi formula)          : PASS   (1345074.71 vs 1345074.71)

  SVT Prediction: Muon lifetime is the decay rate of a metastable radial vortex excitation
  Matches data:   YES — Validated
=================================================================

/home/kruiserx/code/SVT2.0/sim_20_muon_lifetime.py:330: UserWarning: This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.
  plt.tight_layout()
/home/kruiserx/code/SVT2.0/sim_20_muon_lifetime.py:332: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown
  plt.show()
/home/kruiserx/code/SVT2.0/sim_20_muon_lifetime.py:401: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown
  plt.show()
/home/kruiserx/code/SVT2.0/sim_20_muon_lifetime.py:495: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown
  plt.show()