finite-amplitude-hessian-review.json

IDWT's physical premise is one infinite-dimensional manifold with all sectors nested as submanifolds. Particle depth counts macroscopic spatial dimensions; matrix and field-component counts in a calculation add no physical dimensions.

Recorded data and provenance for the associated calculation.

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created_at	2026-10-11T12:44:39.431243+00:00
experiment	finite-amplitude-radial-hessian-symbolic-review
exact_checks	8
scope	Direct symbolic differentiation verifies the two-amplitude potential and mixed gradient Hessians used by the finite-element energy-form calculation. It does not certify its numerical spectrum or nonlinear stability.

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{
  "created_at": "2026-10-11T12:44:39.431243+00:00",
  "experiment": "finite-amplitude-radial-hessian-symbolic-review",
  "sources": {
    "experiments/finite-amplitude-hessian-review.py": "cc4bda6c81e49abd4458d881b350065dd412dff081befd6feab6bd6f23c265d6"
  },
  "exact_checks": 8,
  "checks": [
    "complete amplitude potential Hessian 0,0",
    "complete amplitude potential Hessian 0,1",
    "complete mixed amplitude-gradient Hessian 0,0",
    "complete mixed amplitude-gradient Hessian 0,1",
    "complete amplitude potential Hessian 1,0",
    "complete amplitude potential Hessian 1,1",
    "complete mixed amplitude-gradient Hessian 1,0",
    "complete mixed amplitude-gradient Hessian 1,1"
  ],
  "scope": "Direct symbolic differentiation verifies the two-amplitude potential and mixed gradient Hessians used by the finite-element energy-form calculation. It does not certify its numerical spectrum or nonlinear stability."
}