Double-slit with vortex guidance reproduces

Purpose

Repeat the double-slit with an embedded vortex that acts as a pilot wave, tracking individual vortex trajectories.

What it proves

Landing-position statistics reproduce the Born rule with Pearson $r = 0.952$ ; trajectories are de Broglie - Bohm-like and never cross.

Relation to current theory

Bohm's pilot-wave interpretation is phenomenological in standard QM. SVT shows it arises naturally — the condensate phase *is* the guiding field, the vortex core *is* the particle.

Plots

Scalar metrics

Particles8000 (4000/slit)

Bohmian histogram (j_x)20000 samples

Fringes in double histogram5

Fringes in single histogram1

Fringes in histogram5

stdout tail

  Fringes in histogram         = 5
  No-crossing (Bohm theorem)   = True

  Bohmian arrival matches |ψ|² (r > 0.90): PASS   (r = 0.9523)
  Fringes visible (≥ 3)              : PASS   (5)
  No-crossing theorem holds          : PASS
  Single-slit has fewer fringes      : PASS   (1 vs 5)

  SVT Prediction: Double-slit with vortex guidance reproduces
    de Broglie–Bohm pilot-wave behaviour naturally from GPE
    hydrodynamics
  Matches data:   YES — Validated
=================================================================

/home/kruiserx/code/SVT2.0/sim_18_double_slit_vortex_guided.py:286: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown
  plt.show()
/home/kruiserx/code/SVT2.0/sim_18_double_slit_vortex_guided.py:325: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown
  plt.show()
/home/kruiserx/code/SVT2.0/sim_18_double_slit_vortex_guided.py:369: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown
  plt.show()