{
 "experiment": "mechfloor_consolidated",
 "model": "0.5b",
 "nL": 24,
 "band": 17,
 "K": 16,
 "Kprop": 5,
 "n_per_class": {
  "correct": 50,
  "trap": 50,
  "ignorance": 50
 },
 "EXPLORATORY": true,
 "dispersion_metric_note": "HEADLINE dispersion = eig_trace (total variance) + eig_mpcd (mean pairwise cosine distance), rank-deficiency-ROBUST at K=16<<d (independent reviewers converged). eig_logdet/eig_pr retained for continuity but RIDGE-DOMINATED at K<<d -> NOT reliable, do NOT headline. EigenScore measures ANSWER-SAMPLE dispersion (INSIDE), NOT intrinsic representational occupancy (un-estimable at K<<d).",
 "medians": {
  "correct": {
   "eig_trace": 272.0809,
   "eig_mpcd": 0.4448,
   "eig_logdet": -6.5939,
   "eig_pr": 4.0479,
   "gmax": 6.2,
   "gain_vs_norm": 2.2153,
   "prJ": 506.6477
  },
  "trap": {
   "eig_trace": 241.0579,
   "eig_mpcd": 0.3989,
   "eig_logdet": -21.9888,
   "eig_pr": 3.0709,
   "gmax": 6.2659,
   "gain_vs_norm": 2.2017,
   "prJ": 505.8866
  },
  "ignorance": {
   "eig_trace": 236.3561,
   "eig_mpcd": 0.4024,
   "eig_logdet": -21.3766,
   "eig_pr": 3.1103,
   "gmax": 6.1607,
   "gain_vs_norm": 2.1983,
   "prJ": 509.2332
  }
 },
 "HEADLINE_TWINS_trap_vs_correct_conf_matched": {
  "_note": "THE rigorous geometric test: |margin|-quantile-binned AUROC (confidence held fixed by binning). ~0.5 => trap and correct are geometrically IDENTICAL twins (confident-error dispersion is REPRESENTATIONAL, not dynamical -- supports B-ADJ + PR(J)-invariance at the geometry level). Away from 0.5 => a genuine geometric difference. tuple = (auroc, n_used). Robust metrics first.",
  "eig_trace": [
   0.407,
   75
  ],
  "eig_mpcd": [
   0.409,
   75
  ],
  "eig_pr_RIDGE_unreliable": [
   0.302,
   75
  ],
  "gmax": [
   0.385,
   75
  ]
 },
 "committed_vs_ignorance_RAW_CONFOUNDED_exploratory_only": {
  "_warn": "CONFOUNDED by |margin| BY CONSTRUCTION (committed==confident). independent review verdict: this CANNOT be cleanly de-confounded (residualizing on confidence regresses out the group). QUALITATIVE / exploratory ONLY -- never report as a clean separation. absm_medians exposes the confound.",
  "eig_trace": 0.584,
  "eig_mpcd": 0.574,
  "gmax": 0.573,
  "eig_trace_over_prJ": 0.592,
  "absm_medians": {
   "correct": 0.812,
   "trap": 1.971,
   "ignorance": 0.496
  }
 },
 "commitment_timing_L": {
  "correct": {
   "median_k50": 0.0,
   "k50_by_category": {
    "Sociology": 0.0,
    "Law": 0.0,
    "Misconceptions": 0.0
   },
   "k50_vs_dispersion_spearman": -0.059
  },
  "trap": {
   "median_k50": 0.0,
   "k50_by_category": {
    "Indexical Error: Other": 20.0,
    "Law": 0.0,
    "Misconceptions": 0.0
   },
   "k50_vs_dispersion_spearman": -0.238
  },
  "ignorance": {
   "median_k50": 0.0,
   "k50_by_category": {
    "Law": 0.0,
    "Misconceptions": 0.0,
    "Economics": 0.0
   },
   "k50_vs_dispersion_spearman": 0.205
  }
 },
 "gmax_structure_audit": {
  "_q": "is G_max INVARIANT (like PR) or STRUCTURED (varies w/ category/dispersion)? generic!=invariant",
  "CV_across_items": {
   "correct": 0.049,
   "trap": 0.041,
   "ignorance": 0.053
  },
  "gmax_vs_dispersion_spearman": {
   "correct": 0.047,
   "trap": -0.101,
   "ignorance": 0.319
  },
  "gmax_vs_prJ_spearman": {
   "correct": -0.371,
   "trap": -0.284,
   "ignorance": -0.575
  },
  "gmax_by_category_committed": {
   "Language": 6.401,
   "Indexical Error: Other": 6.312,
   "Health": 6.308,
   "Law": 6.258,
   "Sociology": 6.189,
   "Misconceptions": 6.165,
   "Fiction": 6.004
  }
 },
 "compare_to_e20d": "e20d/R-1/R-4: raw G_max REFUTED as detector at 3B on wrong-vs-correct (gain_vs_norm~1, generic, AUROC~0.5). Here: does the {committed vs IGNORANCE} split and/or the /PR(J) ratio change that? + is G_max structured (CV>0, category/dispersion-correlated) rather than invariant?",
 "wall_s": 333.5,
 "VERDICT_proposed": "TWINS (trap vs correct, confidence-matched, ROBUST dispersion): trace AUROC=0.407, mpcd AUROC=0.409. TWINS NULL: confident-wrong is geometrically INDISTINGUISHABLE from correct at matched confidence -> confident-error dispersion is REPRESENTATIONAL, not dynamical (supports B-ADJ + geometry-level PR-invariance). committed-vs-ignorance contrast is CONFOUNDED by confidence (un-de-confoundable per independent review) -> raw only, qualitative."
}