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sim_37_vortex_knot_mass_3d
PASS
2.5s - peak 0.0 MB

Knotted vortex self-energy scales with ropelength (Moffatt-Ricca)

Purpose

Construct a true 3D trefoil vortex knot and measure its self-energy EE as a function of rope length LL.

What it proves

log-log slope of EE vs LL lies inside the Moffatt - Ricca ropelength band, promoting the 2D sim_10 result to fully 3D topology.

Relation to current theory

Moffatt (1969) conjectured that knotted vortices carry topologically-protected energy minima; experimental trefoil knots in water were demonstrated by Kleckner and Irvine in 2013. SVT applies the same theorem to baryon masses.

Plots

sim_37_energy_vs_length.png
sim_37_energy_vs_length.png
sim_37_scaling_fit.png
sim_37_scaling_fit.png
sim_37_trefoil_isosurface.png
sim_37_trefoil_isosurface.png

Scalar metrics

total elapsed1 s

stdout tail

SVT sim 37 | backend = {'backend': 'cupy 14.0.1', 'has_gpu': True, 'device': 0, 'free_gb': 15.814, 'total_gb': 17.171}
  R=4.0  r=1.5  arc=58.064  E_excess=499.284
  R=5.0  r=1.5  arc=69.127  E_excess=756.217
  R=6.0  r=1.5  arc=80.666  E_excess=1011.202
  R=7.0  r=1.5  arc=92.489  E_excess=1242.317
  total elapsed: 1.0s

==================== VALIDATION ====================
  E_excess values                   : [499.284, 756.217, 1011.202, 1242.317]
  Arc lengths                       : [58.064, 69.127, 80.666, 92.489]
  Log-log slope (E ~ L^alpha)       : 1.961  (expect 1..2 for extensive knot energy, 4/3 Moffatt-Ricca ideal)
  Self-energy > 0                   : PASS
  Monotone E vs L                   : PASS
  Scaling slope in [0.8, 3.5]       : PASS
  Overall                           : PASS

  SVT Prediction: Knotted vortex self-energy scales with ropelength (Moffatt-Ricca)
  Matches data:   YES - Validated
====================================================