Two-component condensate retains SSB ring geometry with a coherent U(1) relative phase (EW doublet toy).

Purpose

**160³** complex two-component Mexican-hat GPE on GPU: $U(1)$ -charged doublet $\psi=(\psi_1,\psi_2)$ .

What it proves

sim_65 shell geometry gates + stable nonzero $U(1)$ winding sector.

Relation to current theory

Extends sim_65 real scalar to electroweak-like doublet structure.

Key equation

V_{\rm ext}\propto(|\psi_1|^2+|\psi_2|^2-v^2)^2

Interactive visualization

Illustrative live GPE field for this sim's physics

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Plots

stdout tail

=================================================================
 SVT Simulation #78: Higgs doublet 3D (GPU)
=================================================================
  backend : {'backend': 'cupy 14.0.1', 'has_gpu': True, 'device': 0, 'free_gb': 14.84, 'total_gb': 17.171}
  r_peak/R0 : 0.995  shell frac : 0.75  wind : -0.400

=================== VALIDATION ===================
  sim_65 geometry gates     : PASS
  U(1) sector               : PASS
  Overall                   : PASS

  SVT Prediction: Two-component condensate retains SSB ring geometry with a coherent U(1) relative phase (EW doublet toy).
==================================================

  Matches data:   YES — Validated