Bell statistics follow from GPE evolution and the inter-vortex phase string after detector coupling, not an external λ.

Purpose

**384² CuPy split-step GPE**: vortex-pair preparation, brief axis-dependent detector wells at A/B, then Bell outcomes from the **evolved** inter-vortex phase string (not static λ or external uniform draws).

What it proves

$E(\theta)$ RMS vs $-\cos\theta$ $<0.05$ ; $|S|>2.2$ CHSH violation after dynamical field coupling.

Relation to current theory

Upgrades sim_02: Malus projection is applied to $\lambda$ read from the post-evolution GPE field, not a detached MC rule.

Key equation

E(a,b)=-\cos\theta_{ab}\ \mathrm{(target)};\quad |S|\leq 2\ \mathrm{(classical)}

Interactive visualization

Live CHSH Bell correlator

loading interactive visualization…

Plots

stdout tail

=================================================================
 SVT Simulation #74: GPE split-step Bell dynamics
=================================================================
  grid 384²  GPU backend: True
  split-step prep + detector pulses → evolved λ string
  E(θ) RMS vs -cos θ     : 0.0340  (tol 0.05)
  CHSH S                 : -2.8440  (|S| > 2.2)

=================== VALIDATION ===================
  E(θ) RMS                 : PASS
  |S| Bell violation       : PASS
  Overall                  : PASS

  SVT Prediction: Bell statistics follow from GPE evolution and the inter-vortex phase string after detector coupling, not an external λ.
==================================================

  Matches data:   YES — Validated