SolomonB14D3/noethersolve: NoetherSolve v0.2.0 — Paper 10: Breaking Frozen Priors

Paper 10: Breaking Frozen Priors

Teaching Language Models to Discover Conservation Laws from Numerical Simulation.

Key Results

• Frozen prior quantified: margin -77.5 ± 1.7 across 4 OOM in coefficient variation
• Three-phase pipeline: diagnose → break → supervise
  • Phase 1: 41,294× variance improvement (prior broken, no physics)
  • Phase 2: Pearson r = +0.952 (physics correlation achieved)
  • Phase 3: Spearman ρ = 0.932 (graded ranking)
• Novel invariant recognized: Q₁ margin flipped -68 → +94.4
• N=9 chaos generalization: Q_f family survives, K correctly rejected
• 142 candidates evaluated through dual-filter pipeline

What's New Since v0.1.0

• Paper 10 (PDF + markdown)
• Frozen prior analysis and physics-supervised breakthrough
• N=9 entropy wall test results
• Ranking adapter v2 (ListNet + log-scale targets)
• 16 discovery notes documenting the full research journey
• Dashboard workflow fix (now deploying correctly)

Full paper: paper/breaking_frozen_priors.pdf Dashboard: https://solomonb14d3.github.io/noethersolve/