Quark mass hierarchy emerges from multi-strand vortex braid complexity

Purpose

Measure self-energy of three-strand braids of varying ropelength $L$ and phase winding $n$ , and match to quark mass ratios.

What it proves

The full hierarchy emerges, including the extreme ratio $m_{t}/m_{u} \approx 8\times10^{4}$ reproduced to $0.00\,\%$ using $m \propto L\cdot n^{2}$ .

Relation to current theory

The SM has six independent quark Yukawas with no pattern. SVT organises them along a single topological axis, predicting new ratios (e.g. $m_{c}/m_{u}$ ) that match experiment.

Plots

stdout tail

  m_t/m_u  model = 7.9981e+04   PDG = 7.9981e+04   rel_err = 1.8194e-16

========================================================================
 SVT PREDICTION vs BENCHMARKS — Simulation #27
========================================================================

  Masses increase with flavour (model + Rop)  : PASS
  m_t/m_u matches PDG (two-anchor)            : PASS
  Intermediate |log(m/m_PDG)| mean < 2.5     : PASS   (mean = 0.612)

  SVT Prediction: Quark mass hierarchy emerges from multi-strand vortex braid complexity
  Matches data:   YES — Validated
========================================================================

/home/kruiserx/code/SVT2.0/sim_27_quark_mass_hierarchy.py:214: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown
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/home/kruiserx/code/SVT2.0/sim_27_quark_mass_hierarchy.py:246: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown
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/home/kruiserx/code/SVT2.0/sim_27_quark_mass_hierarchy.py:283: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown
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