docs(witness): B2 — document the two-witness-arc boundary (no WitnessArcEvaluator trait)

.claude/board/AGENT_LOG.md

@@ -1,3 +1,15 @@
+## 2026-06-18 — B2 resolved: witness-arc boundary documented (NO `WitnessArcEvaluator` trait)
+
+**Main thread (Opus) + 5+3 council**, branch `claude/witness-arc-boundary-doc`. The parked B2 item — "wire perturbation-sim witness arc into contract witness_table" — was put through the critical-decision protocol (5 analysts + 3 brutal critics, all read both files in full). **Unanimous verdict: do NOT build the trait.** The two "witness arc" notions are different objects (numeric `∑field·arc` standing wave vs W-slot→identity resolution); welding them is an AP6 one-impl trait + AGI-as-glove "never a new trait" violation + a CATCH-CRITICAL dep-direction inversion (zero-dep contract would gain a perturbation-sim dep). integration-lead confirmed the real wiring is downstream D-MBX-A3, gated on D-MBX-A2 (current gating gap) + OQ-11.2 + a §0 dep ruling.
+
+**Shipped (doc + board only, no type/dep change):**
+- `perturbation-sim/src/witness.rs` — added "NOT the same witness arc as contract::witness_table" section; corrected the per-arc complexity overclaim (`q·O(N)` → `q·O(N log N)` as implemented; `q·O(N)` only for precomputed/structured arc spectra — flagged by truth-architect + brutally-honest-tester); amortized quantity is the FIELD transform.
+- `lance-graph-contract/src/witness_table.rs` — reciprocal "Not the perturbation-sim witness arc — different object" section; states any future wiring is a consumer-side free function over a borrowed `&[f64]` column, never a trait on the zero-dep crate.
+- `EPIPHANIES.md` — `E-WITNESS-ARC-TWO-OBJECTS-1` (the finding + the math-claim correction).
+- `TECH_DEBT.md` — `TD-WITNESS-EVAL-WIRING-1` (the seam, its three gating prerequisites, paid-when condition).
+
+**Math validated (truth-architect, reviewer-only):** Parseval `particle == wave` PROVEN (FWHT is the symmetric involution-up-to-N; tested 1e-9); NaN/degenerate safety PROVEN; only the doc-string asymptotic bookkeeping was off (now fixed). No code/test behavior changed.
+
 ## 2026-06-18 — #526 follow-up: corpus regenerated with inherits_from + validation_kind
 
 **Main thread (Opus) — single implementer**, branch `claude/odoo-spo-corpus-regen`. Executes the explicit pending step from PR #526 ("Corpus regenerated against live `/home/user/odoo/addons` — pending next session with Odoo source"). This session HAS the Odoo source, so the two new enrichment passes #526 shipped as code now land their triples in the shipped corpus.

.claude/board/EPIPHANIES.md

@@ -1,3 +1,15 @@
+## 2026-06-18 — E-WITNESS-ARC-TWO-OBJECTS-1 — "witness arc" names TWO different objects; do NOT unify them under a `WitnessArcEvaluator` trait
+
+**Status:** FINDING (5+3 council, unanimous: convergence-architect DROP, iron-rule-savant REJECT-trait, dto-soa-savant FITS-COLUMN-as-free-fn, dilution-collapse-sentinel KEEP-SEPARATE, truth-architect PROVEN-math, brutally-honest-tester Option-B-LAND, baton-handoff-auditor CATCH-CRITICAL, integration-lead DEFER). B2 resolved as documentation, not code.
+
+Two code objects share the term **"witness arc"** but operate on **different value categories**:
+1. `perturbation-sim::witness` — a **numeric** standing-wave inner product `∑ field·arc` over `&[f64]`, evaluated two ways (particle pointer-chase vs wave/Parseval-FWHT) that must agree (`particle == wave`, PROVEN: FWHT is the symmetric involution-up-to-N the identity needs; tested 1e-9).
+2. `lance-graph-contract::witness_table` — a 6-bit W-slot **index → identity** table (`WitnessEntry { mailbox_ref: u32, spo_fact_ref: Option<u64> }`); its arc is a chain of W-references across `CausalEdge64` edges, already `O(1)` array indexing.
+
+**Why they must NOT be welded under a `WitnessArcEvaluator` trait:** (a) no inner-product/transform structure exists over opaque identity tuples — superposing them is the register-loss `I-VSA-IDENTITIES` forbids; (b) a trait with one math impl in an *excluded* crate and zero call-sites is AP6 speculative generality; (c) the AGI-as-glove doctrine bars a new trait/bridge ("new capability = new column, not a new layer"); (d) the trait would force the **zero-dep** contract crate to gain a `perturbation-sim` dependency / `f64` field semantics (baton CATCH-CRITICAL, dep-direction inversion). The genuine relationship is a **pipeline seam** (W-slot arc *addresses*, numeric column *evaluates*) — a consumer-side free function over a borrowed `&[f64]` column, never a unifying trait.
+
+**Secondary correction (truth-architect + brutally-honest-tester):** the `witness.rs` doc overclaimed per-arc cost as `q·O(N)`; as implemented `witness_from_spectrum` re-transforms each arc (`O(N log N)`), so the honest total is `O(N log N) + q·O(N log N)`, narrowing to `q·O(N)` only for precomputed/structured arc spectra. The amortized quantity is the **field** transform, not the arc dot. Doc-string corrected; no measured speed claim is made. Cross-references added in both files; seam recorded as `TD-WITNESS-EVAL-WIRING-1`, wiring gated as D-MBX-A3 (on D-MBX-A2 + OQ-11.2 + a §0 dep-direction ruling).
+
 ## 2026-06-17 — E-ODOO-SPO-INHERITS-VALKIND — spo_enrich extended with inherits_from (P1b/ruff#19) + validation_kind (P2/ruff#21); corpus regen pending Odoo source
 
 **Status:** FINDING for the code shape + tests; CONJECTURE for the wire effect on the shipped corpus (regenerates when a session has `/home/user/odoo/addons` available). `spo_enrich.py` adds two enrichment passes via the same single AST walk #525 introduced (`build_all_facts` returns `(relmap, inherits, constrains)`). 18 new tests on top of #525's 23 (41/41 OK total). Rust loader's predicate-histogram match arm gained `inherits_from` + `validation_kind`.

.claude/board/TECH_DEBT.md

@@ -15,6 +15,25 @@
 
 ## Open Debt
 
+### TD-WITNESS-EVAL-WIRING-1 — perturbation-sim Parseval witness evaluator ↔ contract `WitnessTable` are shipped but unconnected by design (2026-06-18)
+
+**Open — intentionally deferred (5+3 council, B2).** `perturbation-sim::witness`
+(Probe-2, #513: `particle == wave` standing-wave evaluator over `&[f64]`) and
+`lance-graph-contract::witness_table::WitnessTable<64>` (A3, #427: W-slot →
+`WitnessEntry{mailbox_ref:u32, spo_fact_ref:Option<u64>}` identity table) both exist,
+both have zero consumers, and are **deliberately not wired**. They are *different
+objects* sharing the name "witness arc" (numeric field inner-product vs identity
+resolution — see `E-WITNESS-ARC-TWO-OBJECTS-1`). The wiring is the downstream
+deliverable **D-MBX-A3** (`witness_arc: [u32; W]` per-row column), gated on:
+(1) **D-MBX-A2** (BindSpace expressivity gaps — content_ref + S/P/O role slices +
+temporal/expert fold; the plan's current gating gap), (2) **OQ-11.2** ratified, and
+(3) a **§0 dependency-direction ruling** — the zero-dep contract must NOT gain a
+`perturbation-sim` dep; the evaluator stays a consumer-side free function over a
+borrowed `&[f64]` column, never a `WitnessArcEvaluator` trait. **Paid when** D-MBX-A3
+lands its column + a consumer that walks a W-slot arc through the field evaluator.
+Boundary cross-references added in both files (this commit) so the seam is not
+rediscovered as a "missing wiring" bug.
+
 ### TD-CI-TEST-JOB-DEBUGINFO0 — `test` job hit the same link cliff; `debuginfo=0` extended to it (2026-06-16)
 
 **Open — fix applied (merged via #511's CI commit), CONFIRM on the next green

crates/lance-graph-contract/src/witness_table.rs

@@ -39,6 +39,22 @@
 //!
 //! This file declares the *column-type primitive only*. It does **not** wire the table
 //! into `CausalEdge64`, `MailboxSoA`, or any emission path — those are later slices.
+//!
+//! ## Not the `perturbation-sim` "witness arc" — different object
+//!
+//! `perturbation-sim::witness` proves a *numeric* identity (`particle == wave`, an
+//! `∑ field·arc` inner product over `&[f64]` evaluated two ways via Parseval/FWHT).
+//! That arc is a **signed real weight vector**; THIS table's arc is a **chain of
+//! W-slot indices resolving to identity tuples** (`mailbox_ref`, `spo_fact_ref`).
+//! They share the word "witness arc" and the Markov reference-chain shape, but the
+//! value categories do not match (real field magnitude vs opaque identity handle) —
+//! there is no inner-product / transform structure over `WitnessEntry`, and slot
+//! resolution is already `O(1)`. Wiring the standing-wave evaluator over a numeric
+//! SoA column is the downstream, gated D-MBX-A3 step (gated on D-MBX-A2; see
+//! `TD-WITNESS-EVAL-WIRING-1`) and lands as a **consumer-side free function over a
+//! borrowed `&[f64]` column**, never a `WitnessArcEvaluator` trait on this zero-dep
+//! crate. Conflating the two would be a register-loss / Frankenstein hazard
+//! (`I-VSA-IDENTITIES`).
 
 // ── Type declarations ────────────────────────────────────────────────────────
 

crates/perturbation-sim/examples/witness.rs

@@ -3,8 +3,10 @@
 //!
 //! Builds the per-bus inertia-buffer field, then reads three witness arcs both ways:
 //! the particle walk (`O(hops)` per arc) and the standing wave (one `field_spectrum`
-//! transform, then `O(N)` per arc). They agree to floating point — and the wave form
-//! amortizes one transform across all arcs.
+//! transform reused across all arcs). They agree to floating point. As implemented,
+//! each arc is itself transformed, so the per-arc cost is `O(N log N)` (it narrows to
+//! `O(N)` only when the arc spectrum is precomputed or the arc is structured/sparse);
+//! the amortized quantity is the one **field** transform, not the per-arc dot.
 //!
 //! Run: cargo run --release --manifest-path crates/perturbation-sim/Cargo.toml \
 //!        --example witness
@@ -43,7 +45,8 @@ fn main() {
         ("alternating", &alt),
     ];
 
-    // Wave view: transform the field ONCE; every arc is then an O(N) read off it.
+    // Wave view: transform the field ONCE, then reuse the spectrum across all arcs
+    // (each arc still transformed → O(N log N) per arc; O(N) only if precomputed).
     let spectrum = field_spectrum(&field);
 
     println!("witness arc as a standing wave — particle (walk) vs wave (Parseval)\n");
@@ -62,7 +65,8 @@ fn main() {
     }
     println!(
         "\n  max |particle − wave| = {max_err:.2e} (Parseval: Hᵀ H = N·I, exact up to fp).\n  \
-         particle = O(hops) pointer-chase per arc; wave = O(N log N) once + O(N) per arc.\n  \
+         particle = O(hops) pointer-chase per arc; wave = O(N log N) field transform once,\n  \
+         reused across all arcs (each arc O(N log N) as written; O(N) only if precomputed).\n  \
          The standing wave IS the witness arc — evaluated all at once, no chain walk.\n  \
          (Demonstration in perturbation-sim; the contract witness_table evaluator is the\n  \
          separate gated step — the SoA spine is additive-only behind the iron rules.)"

crates/perturbation-sim/src/witness.rs

@@ -11,19 +11,45 @@
 //!   the field, and by **Parseval for the Walsh–Hadamard transform** (`Hᵀ H = N·I`,
 //!   the involution-up-to-`N` the pyramid already provides via [`fwht`]):
 //!   `⟨field, arc⟩ = (1/N)·⟨Ĥfield, Ĥarc⟩`. Transform the field **once**
-//!   (`O(N log N)`); then every witness arc is an `O(N)` dot against its spectrum —
-//!   the whole arc is evaluated at once, no walk.
+//!   (`O(N log N)`); then each witness arc is read against the field spectrum —
+//!   the whole arc is evaluated at once, no hop-by-hop walk.
 //!
 //! **The identity `particle == wave` is what this probe proves** ([`particle_equals_wave`]).
-//! The payoff is amortization: [`field_spectrum`] computes the standing wave once,
-//! and [`witness_from_spectrum`] reads many arcs off it — `O(N log N) + q·O(N)` for
-//! `q` arcs, vs the particle view's `q` independent pointer-chasing walks.
+//! The amortized quantity is the **field** transform: [`field_spectrum`] computes the
+//! standing wave once and [`witness_from_spectrum`] reuses it across many arcs. As
+//! implemented, each arc is itself transformed (`fwht` on the arc), so the per-arc
+//! cost is `O(N log N)` and the `q`-arc total is `O(N log N) + q·O(N log N)`; it
+//! narrows to `O(N log N) + q·O(N)` only when the arc spectrum is precomputed or the
+//! arc is structured/sparse (its spectrum known in closed form). The win over the
+//! particle view's `q` independent pointer-chasing walks is therefore in the regime
+//! "one field, many arcs whose spectra are reusable", not for a single dense arc —
+//! this probe makes **no measured** speed claim (see [`crate::sketch`] for the same
+//! honest framing of the demo-`N` exact path).
 //!
 //! Self-contained, in perturbation-sim — this demonstrates the pyramid/field
 //! mechanism on a grid field (e.g. the [`crate::inertia_buffer_column`] field).
-//! Wiring it as the *actual* `witness_table` evaluator in the contract is a separate,
-//! gated step: the witness/SoA types are the cognitive spine — additive only, behind
-//! the iron rules.
+//!
+//! # NOT the same "witness arc" as `lance_graph_contract::witness_table`
+//!
+//! This module's "witness arc" is a **numeric** object: a signed `&[f64]` weight
+//! vector read against an `&[f64]` field by an inner product (`∑ field·arc`). The
+//! contract's `WitnessTable` arc is an **identity** object: a chain of 6-bit
+//! W-slot indices each resolving to a `WitnessEntry { mailbox_ref: u32,
+//! spo_fact_ref: Option<u64> }` (which mailbox witnessed a belief, and whether it
+//! crystallised to an SPO fact). They share the *word* "witness arc" and the
+//! Markov-#1-reference-chain *shape*, but operate on **different value categories**
+//! — there is no Parseval identity over identity tuples, and the W-slot table is
+//! already `O(1)` array indexing with nothing to transform away. Do **not** unify
+//! them under one trait: that would conflate field-evaluation with
+//! identity-resolution (a register-loss / Frankenstein hazard, cf. `I-VSA-IDENTITIES`).
+//!
+//! Wiring this evaluator into a real SoA traversal is a separate, downstream, **gated**
+//! step (D-MBX-A3, gated on D-MBX-A2; see `TD-WITNESS-EVAL-WIRING-1`): the witness/SoA
+//! types are the cognitive spine — additive only, behind the iron rules. When it
+//! happens it is a *consumer-side projection* (W-slot arc → support of an `&[f64]`
+//! arc over a borrowed numeric column), evaluated by these free functions — never a
+//! `WitnessArcEvaluator` trait on the zero-dep contract. (Contract type:
+//! `crates/lance-graph-contract/src/witness_table.rs`.)
 
 use crate::sketch::fwht;