The sim_58 Unruh reconstruction converges under grid refinement — see context/acoustic_metric_derivation.md.

Purpose

Convergence audit of sim_58 Unruh pipeline at **256², 512², 1024²** (GPU when available).

What it proves

Finest max $|\Delta g_{tt}|<0.02$ ; sonic horizon within 4\%; null-slope RMS $<0.06$ ; error non-increasing under refinement.

Relation to current theory

Referee-facing closure for sim_58/sim_64; links to written derivation in context/acoustic_metric_derivation.md.

Key equation

ds^2=\frac{\rho}{c_s}\bigl[-(c_s^2-v^2)dt^2-2\mathbf v\cdot d\mathbf x\,dt+d\mathbf x^2\bigr]

Interactive visualization

Acoustic horizon & Hawking temperature (sim data)

loading interactive visualization…

Plots

stdout tail

=================================================================
 SVT Simulation #80: acoustic metric convergence audit
=================================================================
  N= 256  max|Δg_tt|=0.0082  max|Δg_tx|=0.0034  r_sonic=8.00
  N= 512  max|Δg_tt|=0.0019  max|Δg_tx|=0.0010  r_sonic=8.02
  N=1024  max|Δg_tt|=0.0018  max|Δg_tx|=0.0007  r_sonic=8.01

=================== VALIDATION ===================
  finest grid |Δg_tt| < 0.02  : PASS
  sonic horizon within 4%    : PASS
  null slope RMS < 0.06      : PASS
  error non-increasing       : PASS
  Overall                      : PASS

  SVT Prediction: The sim_58 Unruh reconstruction converges under grid refinement — see context/acoustic_metric_derivation.md.
==================================================

  Matches data:   YES — Validated