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<!doctype html><html lang="en"><meta charset="utf-8"><meta name="viewport" content="width=device-width,initial-scale=1"><title>GOP finite counterexamples</title><style>body{font:16px/1.5 system-ui,sans-serif;margin:0;background:#f5f7fb;color:#142437}header{padding:36px max(5vw,24px);background:#132b40;color:white}main{max-width:1100px;margin:30px auto;padding:0 22px}h1{max-width:850px;font-size:34px;line-height:1.15;margin:8px 0}input,button,select{font:inherit;padding:10px;border:1px solid #b8c4d0;border-radius:6px}input{width:min(500px,85%)}button{cursor:pointer}article{border:1px solid #d5dce5;background:white;border-radius:8px;padding:18px;margin:14px 0;overflow-wrap:anywhere}pre{white-space:pre-wrap;overflow-wrap:anywhere;font-size:13px}small{opacity:.8}.warning{border-left:4px solid #a66c24;padding:14px;background:#fff4df;margin:22px 0}.toolbar{display:flex;gap:12px;align-items:center;flex-wrap:wrap}a{color:#144c78}label{display:block}footer{padding:20px;font-size:13px;color:#465b6c}/* release responsive fix */* ,*::before,*::after{box-sizing:border-box}label{max-width:100%}@media(max-width:600px){label{display:block;width:100%;margin-right:0}select{width:100%}}</style><header><small>INVARIANT COMPUTING · LOCAL RESEARCH DEMO · CP03R1</small><h1>GOP finite counterexamples</h1><p>Seven historical finite tests retain their failures and untested boundaries. This view does not rerun them.</p></header><main><div class="warning">Source records and finite demonstrations only. No new clinical, biological or universal physical validation. Not a deployed model service.</div><div class="toolbar"><input id="search" type="search" placeholder="Filter source records" aria-label="Filter source records"><span id="count" aria-live="polite"></span></div><section id="list"></section><footer>Offline static application. At most 100 matching records are displayed. Exact versions and source hashes are in the companion package.</footer></main><script id="records" type="application/json">[{"candidate_id": "F2a", "core_mutated": false, "core_sha256": "cc99f94bd75a67c0035c8342ef3fdc4ba1d937a586bef2ede4354f1d829ce8b7", "finite_tests": [{"claim": "unknown global sensor gain cannot be separated from latent scale without an anchor", "equivalence": "x*=c x, gain*=gain/c", "id": "G1_UNKNOWN_SENSOR_GAIN_GAUGE", "max_observation_difference": 2.6645352591003757e-15, "status": "SUPPORT_NEGATIVE_CONTROL_NONIDENTIFIABLE"}, {"id": "G2_CENTRAL_INVERSE_SQUARE", "scope": "direct coordinate quadratic derivative fit on bounded central-force trajectories; auxiliary lifts/GR not tested", "status": "CHALLENGE_DIRECT_QUADRATIC_EXACTNESS", "test_max_abs_derivative_error": 1.38676384293401, "test_mse": 0.10520696158985862}, {"convergence_direction": true, "exact_lift": {"dv": "-2a*v-2b*v*w+sigma^2; diffusion 2sigma*x", "dw": "-4a*w-4b*w^2+6sigma^2*v; diffusion 4sigma*x*v", "dx": "-a*x-b*x*w; diffusion sigma"}, "id": "G3_QUINTIC_STOCHASTIC_LIFT", "rows": [{"steps": 64, "x2_manifold_rms": 0.0025197686621409366, "x4_manifold_rms": 0.0018661266463692698}, {"steps": 128, "x2_manifold_rms": 0.001719679889338501, "x4_manifold_rms": 0.0013040293215721055}, {"steps": 256, "x2_manifold_rms": 0.0012149367033028524, "x4_manifold_rms": 0.0009237399821759148}, {"steps": 512, "x2_manifold_rms": 0.0008386784014773448, "x4_manifold_rms": 0.0006298748785571802}], "status": "EXACT_ITO_LIFT_DERIVED_NUMERICAL_TOLERANCE_NOT_MET", "tolerance": 1e-05}, {"heldout_max_abs": 0.3386598059324833, "heldout_mse": 0.00010820884505051961, "id": "G4_S05_RESOURCE_SATURATION", "scope": "legacy clipped resource/saturating-harvest trajectories; direct quadratic one-step map; clipping/rational mechanism retained", "status": "UNMAPPED_EXACT_FROZEN_QUADRATIC_CORE"}, {"heldout_max_abs": 0.14063101678434037, "heldout_mse": 0.0015577800270790128, "id": "G5_S07_TANH_COUPLING", "scope": "legacy tanh-coupling family; direct finite quadratic one-step approximation only", "status": "UNMAPPED_EXACT_FROZEN_QUADRATIC_CORE"}, {"heldout_bloch_mse": 1.1884175759597293e-31, "id": "G6_LEARNED_QUANTUM_CHANNEL_COMPARATOR", "minimum_predicted_density_eigenvalue": 0.002501727844021494, "scope": "synthetic single-qubit amplitude-damping channel identification; does not derive GKSL/Born rules or validate physical quantum brain claims", "status": "FINITE_LEARNED_CHANNEL_COMPARATOR_PASS", "unital_no_intercept_mse": 0.02447161239671523}, {"after_same_dynamics_trace_distance": 1.0, "before_reduced_trace_distance": 0.0, "id": "G7_REDUCED_QUANTUM_MEMORY", "scope": "finite two-qubit memory witness; augmented joint state remains adequate", "status": "REDUCED_HISTORY_FREE_CLOSURE_CHALLENGED"}], "foundation_id": "GOP_TOE_FOUNDATION_v1_0", "foundation_tests": "PASS", "foundation_verify": "PASS", "overall_status": "COMPLETED_FINITE_SIDECAR_UNIVERSAL_CLAIM_REMAINS_UNESTABLISHED", "schema": "rari.omega.gop_sidecar.v1", "source_release_status": "FROZEN_LIMITED", "source_universal_claim": "CONJECTURE_UNESTABLISHED", "unresolved": [{"id": "UNIVERSAL_U", "status": "UNRESOLVED_NOT_TESTED_BY_THIS_BATTERY"}, {"id": "LORENTZ_COVARIANCE", "status": "UNRESOLVED_NOT_TESTED_BY_THIS_BATTERY"}, {"id": "GENERAL_RELATIVITY", "status": "UNRESOLVED_NOT_TESTED_BY_THIS_BATTERY"}, {"id": "INTERACTING_QFT", "status": "UNRESOLVED_NOT_TESTED_BY_THIS_BATTERY"}, {"id": "GLOBAL_APPARATUS_CLOSURE", "status": "UNRESOLVED_NOT_TESTED_BY_THIS_BATTERY"}, {"id": "HUMAN_CLINICAL_RELEVANCE", "status": "UNRESOLVED_NOT_TESTED_BY_THIS_BATTERY"}]}]</script><script>const DATA=JSON.parse(document.getElementById('records').textContent);const list=document.getElementById('list');function show(){const q=document.getElementById('search').value.toLowerCase();const selected=DATA.filter(r=>JSON.stringify(r).toLowerCase().includes(q));document.getElementById('count').textContent=selected.length+' / '+DATA.length+' source records';list.replaceChildren();selected.slice(0,100).forEach(r=>{let a=document.createElement('article'),h=document.createElement('h2'),p=document.createElement('pre');h.textContent=r.title||r.id||r.repo||r.config_name||r.code||'Source record';p.textContent=JSON.stringify(r,null,2);a.append(h,p);list.append(a)});}document.getElementById('search').addEventListener('input',show);show();</script></html>