docs(adr-0241): polish P7 polar demotion — stale deferred cleanup

Clarify grade-1 polar remains theoretically valid; multi-grade analytic
polar retired; conjugacy is authority. Drop stale packing deferred line.

core/physics/wave_manifold.py

@@ -255,11 +255,12 @@ class WaveManifold:
         psi_A: np.ndarray,
         psi_B: np.ndarray,
     ) -> np.ndarray:
-        """Recover sandwich conjugator R with ψ_B ≈ R ψ_A ~R (polar / conjugacy).
+        """Recover sandwich conjugator R with ψ_B ≈ R ψ_A ~R.
 
-        Canonical single-field analogy rotor. Uses the field-conjugacy engine in
-        ``dynamic_manifold`` (lazy import — avoids import cycle; Procrustes
-        multi-pair path calls this for single non-null pairs).
+        Canonical single-field analogy rotor via field conjugacy (SVD + Spin GN).
+        Analytic Clifford polar \(R = C(\\widetilde{C}C)^{-1/2}\) is **not** used:
+        for multi-grade Cl(4,1) fields \(\\widetilde{C}C\) is non-scalar (ADR-0241
+        P7 demotion; ``docs/briefs/P7_design_note.md``).
         """
         R, _residual = self.wave_field_conjugacy([psi_A], [psi_B])
         return R

docs/adr/ADR-0241-wave-field-driven-hyperbolic-atlas-and-resonant-cognition.md

@@ -103,4 +103,4 @@ Behavioral (not closure-only) tests in `tests/test_adr_0241_wave_manifold.py`:
 - Ledger: `docs/research/third-door-blueprint-fidelity.md` § Wave-field substrate.
 - Entity cohesion (Trace A/B, I-01…I-05, Phase 0 audits): `docs/analysis/core_cohesion_master_plan.md`.
 - GoldTether #18 bootstrap/prune is **landed** (fidelity ledger 🟢); wave unitary residual is the coherence residual path (Slice 2).
-- Thin vs mastery: multi-pair polar is still a conjugacy thin wrap; chiral \(\mathcal{Q}\) is honest structural ~0 on real Cl(4,1) until pair-spinor design lands.
+- Multi-grade sandwich conjugacy is owned by `_field_conjugacy_versor` (wave thin wrap); analytic Clifford polar \(R=C(\widetilde{C}C)^{-1/2}\) is **retired for general multi-grade fields** (see `docs/briefs/P7_design_note.md`). Chiral \(\mathcal{Q}\) remains honest structural ~0 on real Cl(4,1) until pair-spinor design (P8).

docs/research/third-door-blueprint-fidelity.md

@@ -39,7 +39,7 @@
 | 8 | ADR-DAG conformal embedding | R&D §2.4 | 🟢 Python surface (`core/adr/validator.py`) | #21 |
 | W1 | WaveManifold unitary / sandwich step | ADR-0241 §2 | 🟢 | ADR-0241 |
 | W2 | Spectral leakage surprise | ADR-0241 §2.4B | 🟢 subsumed into `surprise_residual` | ADR-0241 |
-| W3 | Wave polar + multi-pair conjugacy | ADR-0241 §2.4A | 🟢 single polar + multi-pair thin wrap | ADR-0241 |
+| W3 | Wave polar + multi-pair conjugacy | ADR-0241 §2.4A | 🟢 sandwich conjugacy (`_field_conjugacy_versor`); analytic multi-grade polar ⚪ RETIRED | ADR-0241 |
 | W4 | Unitary residual + chiral charge readout | ADR-0241 §2.4C–D | 🟢 (Q structural 0 in real Cl(4,1); see §12) | ADR-0241 / #18 |
 | W5 | Biography resonant lock-in + durable holographic vault | ADR-0241 + ADR-0240 | 🟢 session registry + `HolographicVaultStore` (VaultStore-backed) | ADR-0241 |
 | W6 | `core_ha` deprecation / absorption | deprecation plan | 🟢 no live tree + hygiene pin | ADR-0241 |
@@ -314,10 +314,9 @@ PY
 
 ### Deferred (explicit, not namesake green)
 - Durable holographic memory **vault store** — 🟢 `core/physics/holographic_vault.py` (VaultStore-backed SPECULATIVE spectrum; restart lock-in; public `get_versor` ABI).
-- True cross-spectral \(\mathcal{C}_{AB}\) + Clifford polar — ⚪ RETIRED (proven mathematically ill-posed; `_field_conjugacy_versor` is the honest optimum).
-- Non-vacuous pair-spinor chiral charge.
-- Golden-Angle horosphere packing + Fibonacci section search (ADR-0242).
-- Rust/MLX acceleration of exp-map / cross-spectral (ADR-0235 later).
+- Analytic vector-style Clifford polar \(R=C(\widetilde{C}C)^{-1/2}\) for **general multi-grade** fields — ⚪ RETIRED (ill-posed; sandwich conjugacy via `_field_conjugacy_versor` is authority). Grade-1-only polar remains theoretically valid but is not the wave-field API.
+- Non-vacuous pair-spinor chiral charge (P8).
+- Rust/MLX acceleration of exp-map (ADR-0235 later).
 - Full ADR-0092 reviewer-service integration (promote remains caller-gated).
 - Optional Rust Ring-1 port of trajectory invariants (Python is authority today).