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sim_37_vortex_knot_mass_3d
PASS
3.5s - 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.

Interactive visualization

Illustrative 3D vortex dynamics
loading interactive visualization…

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 elapsed1.6 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=499.280
  R=5.0  r=1.5  arc=69.127  E_excess=756.219
  R=6.0  r=1.5  arc=80.666  E_excess=1011.200
  R=7.0  r=1.5  arc=92.489  E_excess=1242.320
  total elapsed: 1.6s

==================== VALIDATION ====================
  E_excess values                   : [499.28, 756.219, 1011.2, 1242.32]
  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
====================================================