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Reviewer Map

Claim Scope

  • Canonical-lane claim: inside the manifold_constrained lane, if the theorem chain in this repository holds and the guard certificate passes, the repository-level RH closure claim is satisfied.
  • Classical mapping claim: carried by the in-repo bridge theorems; independent validation is performed via public reruns and expert review.

Theorem Dependency Chain

  1. EG1: projected coercivity / structural floor.
  2. EG2: capture + flow/restart invariance.
  3. EG3: finite-restart spacing (no Zeno cascade).
  4. EG4: compactness-rigidity and endpoint identification.
  5. Scalar closure: G_X, G_R, G_N, G_Coh, G_M all PASS.

Primary files:

  • paper/RH_SELF_ADJOINT_PERSISTENCE_PREPRINT.md
  • notes/EG1_public.md
  • notes/EG2_public.md
  • notes/EG3_public.md
  • notes/EG4_public.md
  • notes/IDENTIFICATION_BRIDGE.md

Falsification Conditions

  • repro/certificate_runtime.json has any non-PASS gate.
  • lane.active_lane != "manifold_constrained".
  • all_pass != true.
  • Any manifest hash mismatch under repro/repro_manifest.json.
  • A verified counterexample to any EG theorem statement used in the paper.

Reproducibility Check

Run:

bash repro/run_repro.sh

Then verify:

python3 - <<'PY'
import json
from pathlib import Path
d=json.loads(Path("repro/certificate_runtime.json").read_text())
assert d.get("all_pass") is True
assert d.get("lane",{}).get("active_lane") == "manifold_constrained"
for g in ["G_X","G_R","G_N","G_Coh","G_M"]:
    assert d["gates"].get(g) == "PASS", g
print("OK")
PY