{
  "id": "O0-CRP-031",
  "title": "Cross-Class Discriminability across Five Canonical Dynamical Systems",
  "program": "CONTACT_AND_REVELATION",
  "track": "Track 2 followup — out-of-class robustness",
  "status": "complete",
  "record_class": "REPLICATION",
  "version": "1.0.0",
  "date_completed": "2026-07-29",
  "preregistration_frozen_before_execution": true,
  "verdict": {
    "preregistered": "CLASS_SPECIFIC",
    "for_claim": "δ*(0.7) numeric invariance across canonical dynamical classes"
  },
  "emergent_findings": [
    {
      "finding": "CROSS_CLASS_INVARIANT for matched-source indistinguishability",
      "detail": "5 of 5 systems show matched-dual AUC in chance band [0.30, 0.70]; realization theorem holds bit-identically in all 5",
      "status": "confirmatory across classes",
      "note": "Fresh cross-class replication of CRP-022 core structural claim"
    },
    {
      "finding": "CHAOS_WASHOUT — CORRECTED-DOWN by O0-CRP-032",
      "detail": "In Lorenz-63 and Van der Pol networks at T=200 + base 146-feature battery, no δ up to 1.0 produced detectable discriminability at the 0.7 threshold. Original exploratory reading: chaotic dynamics apparently erase source-observation coupling structure from low-order features.",
      "status": "CORRECTED-DOWN — O0-CRP-032 confirmed this was substantially a measurement-weakness artifact. Under T=1000 + augmented 226-feature battery, Lorenz recovers δ*(0.7)=0.5 and VdP partially recovers δ*(0.7)=0.7. The strong chaos-washout hypothesis is not supported.",
      "correcting_record": "O0-CRP-032"
    }
  ],
  "systems_tested": [
    { "name": "linear_gaussian", "citation": "Kalman 1960; matches O0-CRP-022", "delta_star_070": 0.20, "matched_dual_auc": 0.4478, "in_class": true },
    { "name": "lorenz",          "citation": "Lorenz, J. Atmos. Sci. 20:130 (1963)",     "delta_star_070": null, "matched_dual_auc": 0.4983, "in_class": false },
    { "name": "rossler",         "citation": "Rössler, Phys. Lett. A 57:397 (1976)",     "delta_star_070": 0.70, "matched_dual_auc": 0.4363, "in_class": false },
    { "name": "kuramoto",        "citation": "Kuramoto, Springer (1984)",                "delta_star_070": 0.30, "matched_dual_auc": 0.4699, "in_class": true },
    { "name": "vdp",             "citation": "van der Pol, Phil. Mag. 2:978 (1926)",     "delta_star_070": null, "matched_dual_auc": 0.4813, "in_class": false }
  ],
  "n_systems_evaluated": 5,
  "n_pass_positive_control": 5,
  "n_in_class": 2,
  "n_realization_bit_identical": 5,
  "n_matched_dual_in_chance_band": 5,
  "trials_per_class": 300,
  "world_seeds_used": "20000-20029",
  "trial_offset": 400000,
  "runtime_seconds": 1282.1,
  "related": ["O0-CRP-022", "O0-CRP-024", "O0-CRP-025", "O0-CRP-026", "O0-CRP-027", "O0-CRP-030"],
  "followups_proposed": [
    { "id": "CRP-032 (proposed)", "topic": "Longer trajectory + higher-order features for chaos-washout" },
    { "id": "CRP-033 (proposed)", "topic": "Classifier-diversity replication across the 5 systems" },
    { "id": "CRP-034 (proposed)", "topic": "Discrete-time chaotic maps (Hénon, logistic) as classes 6 and 7" }
  ],
  "responds_to_critique": {
    "critique": "toy models of well-established science",
    "response": "Structural matched-source indistinguishability + realization theorem replicates across 5 canonical dynamical classes (linear, 2 chaotic, synchronization, relaxation-oscillation). Numeric δ*(0.7) threshold is class-specific. The critique is partially validated for numeric claims and refuted for structural claims."
  },
  "claim_status": "MIXED — CROSS_CLASS_INVARIANT for matched-source indistinguishability + realization theorem; CLASS_SPECIFIC for numeric δ*(0.7); EMERGENT for chaos-washout"
}