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path: root/artifacts/energy_convergence_audit_m30.json
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{
  "run_date": "2026-07-29",
  "source_checkpoint": "artifacts/energy_free_orbit_test_m30.pt",
  "protocol": {
    "split": "test",
    "samples": 256,
    "initial_state": "saved final particles from the 100-step m30 run",
    "fixed_weights": {
      "relation": 2.0,
      "conditional": 0.2,
      "distribution": 80.0,
      "manifold": 30.0
    },
    "optimizer": "Adam",
    "learning_rate": 0.003,
    "continued_steps": 1000,
    "paired_states": "evaluation only"
  },
  "chance_r_at_10": 0.0390625,
  "true_paired_fixed_energy": 4.490105,
  "trajectory": [
    {
      "step": 0,
      "total": 2.76711368560791,
      "relation": 0.49683937430381775,
      "conditional": 3.7608938217163086,
      "distribution": 0.000018158269085688516,
      "manifold": 0.033993445336818695,
      "tangent_gradient_rms": 0.003152671968564391,
      "r_at_10": 0.05859375,
      "median_rank": 103.0
    },
    {
      "step": 50,
      "total": 1.6187728643417358,
      "relation": 0.059660654515028,
      "conditional": 5.562028408050537,
      "distribution": 0.0000085462106653722,
      "manifold": 0.012878741137683392,
      "tangent_gradient_rms": 0.003236193209886551,
      "r_at_10": 0.04296875,
      "median_rank": 116.0
    },
    {
      "step": 100,
      "total": 1.5479857921600342,
      "relation": 0.03859665244817734,
      "conditional": 5.844091892242432,
      "distribution": 0.000011738318789866753,
      "manifold": 0.010034503415226936,
      "tangent_gradient_rms": 0.003574947128072381,
      "r_at_10": 0.03515625,
      "median_rank": 123.0
    },
    {
      "step": 400,
      "total": 1.5430032014846802,
      "relation": 0.041944317519664764,
      "conditional": 5.83329439163208,
      "distribution": 0.00001115567101805936,
      "manifold": 0.009718775749206543,
      "tangent_gradient_rms": 0.003626087447628379,
      "r_at_10": 0.03125,
      "median_rank": 120.0
    },
    {
      "step": 1000,
      "total": 1.5993236303329468,
      "relation": 0.07523728162050247,
      "conditional": 5.829074382781982,
      "distribution": 0.000011411648301873356,
      "manifold": 0.009404043667018414,
      "tangent_gradient_rms": 0.006601977627724409,
      "r_at_10": 0.0390625,
      "median_rank": 123.0
    }
  ],
  "conclusion": "The saved endpoint was not stationary, but further reduction of the fixed objective destroys the transient retrieval gain. The correct paired configuration has higher energy than incorrect optimized configurations, so the present objective is not an identifiable alignment energy."
}