At 512² resolution the Unruh/PG metric agreement matches or improves on sim_58 in the same fit band — no loss of acoustic–metric consistency at finer mesh.

Purpose

Stress-test sim_58 on a **512×512** grid so Madelung velocities and metric components approximate the continuum PG map at finer resolution — a convergence audit, not a new ansatz.

What it proves

The same absolute and null-slope gates as sim_58 are met or improved; the sonic horizon locates $r_h$ within a few mesh spacings.

Relation to current theory

Closes reviewer questions about whether sim_58's agreement is an artefact of 256² sampling. When CUDA is available, $\psi$ , `cupy.gradient`, and Unruh tensors run on the **GPU**; slices validate on CPU.

Key equation

Identical Unruh construction as sim_58; smaller $\Delta x$, $\Delta y$.

Interactive visualization

Acoustic horizon & Hawking temperature (sim data)

loading interactive visualization…

Plots

stdout tail

=================================================================
 SVT Simulation #64: GPE → Unruh metric (512² high-resolution audit)
=================================================================
  metric pipeline : GPU (CuPy)  {'backend': 'cupy 14.0.1', 'has_gpu': True, 'device': 0, 'free_gb': 15.814, 'total_gb': 17.171}

=================== VALIDATION ===================
  grid                          : 512×512, dx = 0.07812
  max |Δg_tt| (fit band)        : 0.0019  (tol 0.02)
  max |Δg_tx| (fit band)        : 0.0010  (tol 0.006)
  RMS rel err dr/dt (outgoing)  : 0.0232  (tol 0.055)
  sonic horizon r_sonic         : 8.015  (target 8.0)
  Overall                       : PASS

  SVT Prediction: At 512² resolution the Unruh/PG metric agreement matches or improves on sim_58 in the same fit band — no loss of acoustic–metric consistency at finer mesh.
==================================================

  Matches data:   YES — Validated