RQ2-P3: re-word §7 calibration gate (naive→mechanical mix), re-run GREEN
Operator ruling (Andre, 2026-07-21): the STOP was correct and the diagnosis right — §7 items 1-2 did not fail because the instrument is broken, but because they were worded under the naive-funnel prior. Under the ratified posterior the pool is a MIX (shared bridge → shared exit_signature → larger anonymity set → higher H). Corrected pre-freeze, logged transparently (no HARKing). - rq2p3-mechanism-prereg.md §7: item 1 re-anchored on the FROZEN bridge-federated branch (injective fresh-bridge → m_i=1 → H≈0, constant c=1/C — a pool draws with replacement so it cannot reproduce the zero-variance degeneracy); item 2 B=1 → c=1.0 AND high H (maximal mix, "low H" refuted by construction); added a §7 scope note (the gate validates the INSTRUMENT and must NOT pre-assert the H-vs-c sign — that stays the two-sided confirmatory question H1/H2). Confirmatory hypotheses unchanged. - docs/stage-05-rq2p3-gate-clarification.md: dated deviation-rationale log (cites the dry-pass output, no number invented; records the two-sided direction-agnostic pre-commitment is untouched; the mix ρ 0→+0.838 is an exploratory finding that strengthens note-unique-bridge-artifact.md). - rq2p3_calibration.py: item-1 teeth moved to frozen_branch_regression() on the untouched bridge-federated branch; item-2 now asserts c=1.0 AND high H; added all_pass aggregate. confirm.py/stats.py/confirm_load_rq2.py untouched. Re-run: all four gate items PASS with real teeth (all_pass=True). Synthetic/DRY only, no confirmatory record read. FREEZE STAYS A HUMAN GATE: §10 empty, no confirmatory RQ2-P3 cell until operator records the SHA-256 + signs off. Lead prereg SHA f22331a72e... untouched; worktree-only. Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
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@@ -6,17 +6,26 @@ dir), then reports the four §7 gate items. **No confirmatory record is read**
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is the same blind-safe discipline as the lead-paper loaders; the confirmatory battery
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stays HARD-HELD until the prereg is frozen.
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Gate items (§7):
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1. Reproduce the lead degeneracy — ``B=50, alpha=0`` → ``c_i`` ≈ 1/C, near-constant,
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Spearman ρ inconclusive.
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2. Extreme ``B=1`` — all circuits share one bridge → ``c=1.0`` (a degenerate
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concentration extreme). NOTE: under the RATIFIED posterior a fully-shared bridge
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*maximizes* the observation-consistent anonymity set, so realized H comes out
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HIGH, not low — the mechanical "mix" the study exists to test. This is surfaced,
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not silently reconciled with the naive "low H" gloss.
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Gate items (§7, re-worded 2026-07-21 pre-freeze — see
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``docs/stage-05-rq2p3-gate-clarification.md``; the original items 1–2 encoded the
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naive-funnel prior and were mechanically wrong under the ratified posterior):
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1. Reproduce the lead degeneracy ON THE FROZEN ``bridge-federated`` BRANCH (not the
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pool). The lead zero-variance degeneracy is a property of the injective fresh-bridge
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map: unique bridge per circuit seed → unique exit-signature → ``m_i=1`` → ``H_i≈0``,
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constant ``c_i=1/C``. A pool draws WITH REPLACEMENT, so it cannot (and must not) be
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asked to reproduce that; the regression teeth live on the untouched frozen branch.
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2. ``B=1`` boundary — all circuits share the one bridge → ``c=1.0`` (concentration
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tooth kept). Under the RATIFIED posterior the anonymity set is then all circuits
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sharing the exit house, so realized H is at the HIGH end (maximal mix). The naive
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"low H" gloss is refuted by construction; expect high H.
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3. Monotonicity — mean top-3 concentration decreases in B and increases in alpha.
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4. Entropy calibration (inherited) — plug-in entropy of N equiprobable senders is
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exactly log2(N); Miller–Madow adds only the documented finite-N bias term.
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SCOPE NOTE: this gate validates the INSTRUMENT and MUST NOT pre-assert the sign of
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H-vs-concentration — that sign is the two-sided confirmatory question (H1/H2). The dry
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pass previews a mix (ρ 0→+0.838) as an EXPLORATORY finding; the two-sided pre-commitment
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in §2 is untouched.
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"""
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from __future__ import annotations
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@@ -30,6 +39,7 @@ from typing import Dict, List
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from cmd_chat.sor.analysis.confirm_load_rq2 import (
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bridge_concentration,
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bridge_label,
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per_circuit_entropy,
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top_k_bridge_concentration,
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)
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@@ -60,6 +70,40 @@ def _pool_cell(b: int, alpha: float) -> Cell:
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"selector": "static", "pool_B": str(b), "pool_alpha": str(alpha)}, False)
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def _fed_cell() -> Cell:
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"""The FROZEN lead ``bridge-federated`` branch (untouched, fresh bridge per circuit
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seed). Item-1 regression teeth live here, not on the pool."""
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return Cell("RQ2", "RQ2/bridge=off/selector=static/topo=bridge-federated",
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{"bridge": "off", "topology": "bridge-federated", "selector": "static"}, False)
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def frozen_branch_regression(r: int = R_DRY, c: int = C_DRY) -> Dict:
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"""Item 1: the untouched frozen ``bridge-federated`` branch must still show the lead
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degeneracy — unique bridge per circuit (unique exit-signature) → ``m_i=1`` → ``H_i≈0``,
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constant ``c_i=1/C``. Checked per-run (the confirmatory grouping unit)."""
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fed = _fed_cell()
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labels_all_distinct = True
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H_all_zero = True
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c_all_const = True
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mean_h: List[float] = []
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for ri in range(r):
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specs = _assemble_run(fed, ri, c)
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labels = [bridge_label(s) for s in specs]
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labels_all_distinct &= (len(set(labels)) == len(labels))
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ent = per_circuit_entropy(specs)
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mean_h.append(statistics.fmean(ent))
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H_all_zero &= all(h < 1e-9 for h in ent)
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conc = [x for x in bridge_concentration(specs) if x is not None]
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c_all_const &= bool(conc) and all(abs(x - 1.0 / c) < 1e-9 for x in conc)
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return {
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"labels_all_distinct": labels_all_distinct,
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"H_all_zero": H_all_zero,
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"c_all_const_1_over_C": c_all_const,
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"mean_entropy_bits": statistics.fmean(mean_h),
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"pass": labels_all_distinct and H_all_zero and c_all_const,
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}
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def cell_report(cell: Cell, r: int = R_DRY, c: int = C_DRY) -> Dict:
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"""Per-cell dry report: mean top-3 concentration over runs, pooled per-circuit
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(c_i, H_i) Spearman ρ, and the concentration spread."""
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@@ -94,17 +138,22 @@ def calibration_gate(r: int = R_DRY, c: int = C_DRY) -> Dict:
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sweep = [cr for cr in (cell_report(cell, r, c) for cell in enumerate_rq2p3_cells())]
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grid = {(cr["B"], cr["alpha"]): cr for cr in sweep}
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# Item 1 — anchor B=50, alpha=0 reproduces the lead degeneracy.
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anchor = grid[(50, 0.0)]
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item1_pass = anchor["concentration_stdev"] < 1e-3 and abs(anchor["spearman_rho_conc_vs_H"]) < 0.05
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# Item 1 — regression teeth on the FROZEN bridge-federated branch (not the pool):
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# unique bridge per circuit → unique signature → m_i=1 → H≈0, constant c_i=1/C.
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# The pool anchor B=50,alpha=0 is retained as an EXPLORATORY diagnostic only (it is a
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# mix, ρ>0 — it does NOT and must NOT reproduce the injective fresh-bridge degeneracy).
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fed_reg = frozen_branch_regression(r, c)
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anchor = grid[(50, 0.0)] # exploratory: pool at B=50 draws WITH replacement → mix
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item1_pass = fed_reg["pass"]
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# Item 2 — extreme B=1: all circuits share one bridge (degenerate concentration).
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# Item 2 — B=1 boundary: all circuits share one bridge → c=1.0 (concentration tooth),
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# and under the ratified posterior H is at the HIGH end (maximal mix). Reference =
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# the frozen fresh-bridge branch H (≈0). Passing means c=1.0 AND H high, by construction.
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ext = cell_report(_pool_cell(1, 0.0), r, c)
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lead_like = cell_report(_pool_cell(1_000_000, 0.0), r, c) # huge pool ≈ fresh bridge/circuit
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fresh_ref_H = fed_reg["mean_entropy_bits"]
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item2_conc_ok = abs(ext["mean_top3_concentration"] - 1.0) < 1e-9
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# The naive gate text says "low H"; the ratified posterior yields HIGH H. Surface it.
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item2_entropy_direction = "HIGH (mechanical mix)" if ext["mean_entropy_bits"] > lead_like["mean_entropy_bits"] else "low"
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item2_matches_naive_low_H = ext["mean_entropy_bits"] < lead_like["mean_entropy_bits"]
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item2_high_H = ext["mean_entropy_bits"] > fresh_ref_H
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item2_pass = item2_conc_ok and item2_high_H
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# Item 3 — monotonicity: mean top-3 concentration decreasing in B, increasing in alpha.
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dec_in_B = all(
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@@ -137,25 +186,31 @@ def calibration_gate(r: int = R_DRY, c: int = C_DRY) -> Dict:
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"sweep": sweep,
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"gate": {
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"item1_reproduce_lead_degeneracy": {
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"anchor_B50_alpha0": anchor,
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"regressed_on": "frozen bridge-federated branch (untouched)",
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"frozen_branch": fed_reg,
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"exploratory_pool_anchor_B50_alpha0": anchor,
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"note": (
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"Teeth are on the frozen fresh-bridge branch (unique signatures → m_i=1 "
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"→ H≈0, constant c=1/C). A pool draws WITH replacement so it cannot "
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"reproduce that; the B=50 pool anchor is an EXPLORATORY mix (ρ>0), not a "
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"regression target. Re-worded pre-freeze; see "
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"docs/stage-05-rq2p3-gate-clarification.md."
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),
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"pass": item1_pass,
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},
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"item2_extreme_B1": {
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"item2_B1_boundary": {
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"mean_top3_concentration": ext["mean_top3_concentration"],
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"mean_entropy_bits": ext["mean_entropy_bits"],
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"fresh_bridge_reference_mean_entropy_bits": lead_like["mean_entropy_bits"],
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"concentration_degenerate_c_eq_1": item2_conc_ok,
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"entropy_direction_vs_naive": item2_entropy_direction,
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"matches_naive_low_H_expectation": item2_matches_naive_low_H,
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"NEEDS_OPERATOR": not item2_matches_naive_low_H,
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"fresh_bridge_reference_mean_entropy_bits": fresh_ref_H,
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"concentration_c_eq_1": item2_conc_ok,
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"entropy_high_maximal_mix": item2_high_H,
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"note": (
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"Concentration extreme is as specified (c=1.0). But the ratified "
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"posterior makes a fully-shared bridge MAXIMIZE the anonymity set, so "
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"realized H is HIGH, contradicting the §7 gate-item-2 'low H' gloss. "
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"This is exactly the mechanical 'mix' (ρ>0) the study exists to test "
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"(see note-unique-bridge-artifact.md), surfaced early at calibration. "
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"Not silently reconciled: flagged for the operator's freeze decision."
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"B=1 shares one bridge → c=1.0 (concentration tooth) AND, under the "
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"ratified posterior, the anonymity set is all circuits sharing the exit "
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"house → H at the HIGH end (maximal mix). The naive 'low H' gloss is "
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"refuted by construction; expect high H. Re-worded pre-freeze."
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),
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"pass": item2_pass,
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},
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"item3_monotonicity": {
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"decreasing_in_B": dec_in_B,
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@@ -166,6 +221,7 @@ def calibration_gate(r: int = R_DRY, c: int = C_DRY) -> Dict:
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"checks": entropy_checks,
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"pass": item4_pass,
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},
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"all_pass": bool(item1_pass and item2_pass and item3_pass and item4_pass),
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},
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}
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