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25 changes: 24 additions & 1 deletion .claude/knowledge/pr-x12-h268-morton-wgpu-synergies.md
Original file line number Diff line number Diff line change
Expand Up @@ -114,7 +114,7 @@ any float-path GPU bit-exactness claim.
| WHP-1..4 (+GPU arm) | two-algebra pyramid parity | per OGAR canon | magnitude side stays CPU |
| Plan E bench | bits/Gaussian on Mip-NeRF 360 | ≤4 bits | R-10 re-derived; web-streaming claim withdrawn |
| a2ui N2 | wgpu `webgl` feature + texture upload, wasm32-tested | render parity headless vs browser | GPU raster tier deferred; CPU raster only |
| PROBE-SPRITE-REPLAY | x265 I/P/B grammar over HHTL-anchored splat sprites with helix motion codes (plan `x265-sprite-replay-probe-v1.md`; NOT H.268, NOT x265 bit-parity) | replay determinism CPU==wasm on sprite states; B-frame bidirectional consistency; helix quantization bound reported | object-level helix motion collapses back into a dense per-splat MV field — the sprite amortization dies as stated |
| PROBE-SPRITE-REPLAY | x265 I/P/B grammar over HHTL-anchored splat sprites with helix motion codes (plan `x265-sprite-replay-probe-v1.md`; NOT H.268, NOT x265 bit-parity) | replay determinism CPU==wasm on sprite states; B-frame bidirectional consistency; helix quantization bound reported | object-level helix motion collapses back into a dense per-splat MV field — the sprite amortization dies as stated → **VERDICT (wave 2): PASS-AT-SIGNED360 scoped / ResidueEdge-24bit insufficient; see wave-2 sub-table** |

**Run this wave — h268-probe-wave-v1 (2026-07-16, reviewer-adjudicated;
probes live in lance-graph `bgz-tensor`/`jc`/`helix`):**
Expand All @@ -125,6 +125,14 @@ probes live in lance-graph `bgz-tensor`/`jc`/`helix`):**
| PROBE-SIG-CHECKSUM | PASS (depth-2 blind-spot bound) | replay 0.0; tree-like 0.0<1e-9; non-tree 11.31>0.05 | §10 [S] leg confirmed; digest ≠ catch-all — parallel-chord displacement is signature-invisible at depth 2 |
| PROBE-WALK-SPECTRUM | KILL of §10(g) "decorrelated" half | period-17 \|R\| 0.998/0.996/0.994; lattice max 0.875 vs PRNG 0.0205 = 42.7× | §10(g) corrected: known structure ≠ low correlation; D-QUANTGATE / bijectivity unaffected |

**Wave 2 — x265-sprite-replay + WH-MAG-2 (2026-07-16, reviewer-adjudicated;
probes in lance-graph `helix`/`bgz-tensor`):**

| Probe | Verdict | Numbers | Consequence |
|---|---|---|---|
| PROBE-SPRITE-REPLAY | PASS-AT-SIGNED360 (scoped) / ResidueEdge-24bit INSUFFICIENT; KILL did not fire | Signed360 mean/max 0.0; ResidueEdge mean 9.98 / max 42.4 (Pos 3.55, Neg 16.4); B bidir-delta 6.04 | One Signed360 (48-bit) code per sprite per P-frame reconstructs motion + B-frames exactly — but for helix-MANIFOLD motion (ground truth drawn from helix's own lift); proves capacity+round-trip+sign, not arbitrary-motion generality ([H], independent-GT probe named). ResidueEdge-24bit unusable: hemisphere-blind + 8-bit-rim rank-adjacency hazard → Signed360-only motion primitive |
| PROBE-WH-MAG-2 | UPGRADES the §10 WH-magnitude [H] leg: bare NOT-TRANSFERRING → pairing TRANSFERS on structured tiles | gradient+spike escB/A 0.815 + cenB/A 0.209 (both <0.9); heavy-tailed 0.998 / 1.232; noise 1.66 / 1.66; bareB/A 0.929/1.317/1.869 reproduced; esc_frac 0.098 | WH transfers ONLY paired with passthrough-escape + centroid-residual (the shipped row codec E-PALETTE-RESIDUAL-LADDER-1) and ONLY on structured tiles; NOT bare, NOT heavy-tailed (escape masks to parity; centroid hurts), NOT noise. escB/cenB are compound (no direct+escape/direct+centroid control) — transfer is a codec-pairing property, WH's isolated margin unmeasured; centroid is class-dependent |

## 7. Comma closure — the replayable irrational (constants correction folded in)

The Pythagorean comma is the residue of a stack of pure fifths that never
Expand Down Expand Up @@ -458,6 +466,21 @@ fourth-mode/anchor discussion (§8):
FailureTicket). PROBE-WH-MAG-2's natural home is therefore WH
re-evaluated UNDER the mode grammar (heavy-tailed tiles routed to
Escape before the cascade), not a wait for new machinery.
**RESULT-2 (2026-07-16, PROBE-WH-MAG-2, upgrades this leg):** run under
the escape+centroid pairing (the deferral-condition home named above),
WH TRANSFERS on structured tiles — gradient+spike escB/A **0.815** +
cenB/A **0.209** both clear the <0.9 bar — but NOT bare (0.929, leg-1
reconfirmed), NOT heavy-tailed (escB/A 0.998 = escape masks WH to
parity; cenB/A 1.232 = centroid hurts zero-mean+outliers), NOT noise
(1.66/1.66). The [H] leg is upgraded from "bare NOT-TRANSFERRING" to
"TRANSFERS with the shipped WH+escape+centroid pairing on STRUCTURED
tiles only." Caveat: escB/cenB are compound (Path A has no
escape/centroid sibling), so the win is a codec-pairing property — WH's
isolated marginal value beyond escape+centroid is unmeasured; bareB/A
stays the only clean WH isolation and stays NEUTRAL. Cross-ref
lance-graph E-X265-PROBE-WAVE-2-RESULTS,
`crates/bgz-tensor/src/adaptive_codec.rs` mod
probe_wh_mag::probe_wh_mag_2.
- **[S] Signature as the replayable-trajectory checksum.** The x264
contrast in §7 asked for a replayable, checksummable stream; the
Hambly–Lyons signature is the canonical path digest with a uniqueness
Expand Down
40 changes: 40 additions & 0 deletions .claude/plans/x265-sprite-replay-probe-v1.md
Original file line number Diff line number Diff line change
Expand Up @@ -93,3 +93,43 @@ CPU/wasm decode, harness), filigree adjudication vs the pass/KILL bands,
central gates, PR, autonomous merge (standing authority). The wgpu tier
may land as a second commit gated on the shared harness; if it slips,
the CPU/wasm probe stands alone.

## Results (2026-07-16 — PROBE-SPRITE-REPLAY-CORE, reviewer-adjudicated)

**Verdict: PASS-AT-SIGNED360 (scoped) / ResidueEdge-24bit INSUFFICIENT. The KILL band did NOT fire.**

Probe: `lance-graph crates/helix/src/sprite_replay.rs` (`probe_sprite_replay_core`),
CPU-native core only (splat3d EWA raster + wgpu tiers deferred per the scope
guard); N=8 sprites, TOTAL=240, 6 anchors (I+5P), GOP `I B B P ...`. Deterministic
(SplitMix64); the test asserts determinism + finiteness + counts, never a verdict.

| Metric (world-unit Euclidean position error) | ResidueEdge (24-bit) | Signed360 (48-bit) |
|---|---|---|
| I+P anchor motion fidelity — mean / max | 9.98 / 42.43 | **0.0 / 0.0** |
| Sign::Pos sprites — mean / max | 3.55 / 17.60 | 0.0 / 0.0 |
| Sign::Neg sprites — mean / max | 16.41 / 42.43 | 0.0 / 0.0 |
| B-frame bidir-delta — mean / max | 6.04 / 22.50 | 0.0 / 0.0 |
| B-frame vs-truth — mean / max | 10.45 / 41.57 | 0.0 / 0.0 |

- **KILL did not fire** (plan §4): object-level helix motion does NOT need a
dense per-splat residual field — one `Signed360` code per sprite per P-frame
reconstructs motion + parametric B-frames exactly.
- **PASS is scoped (the load-bearing caveat).** Ground-truth motion is drawn
from helix's OWN `signed_lift` template, so the 0.0 Signed360 result proves
CAPACITY (16-bit azimuth indexes n∈0..240 trivially) + ROUND-TRIP (the
hand-built public-primitive inverse recovers n and sign exactly) + SIGN
carriage — NOT that arbitrary independently-captured object motion fits the
helix manifold. "P-frame = one Signed360 code" is FEASIBLE at 48-bit for
**helix-manifold** motion [proven]; arbitrary-motion generality stays [H],
gated on a follow-up probe with independent ground truth.
- **ResidueEdge (24-bit) INSUFFICIENT — Signed360-only ruling.** Two
independent failures: (1) hemisphere-blind (no sign bit → Neg sprites mirror
wrong: mean 16.4 / max 42.4); (2) rank-adjacency hazard (8-bit `end_idx`
bucket; a ±1 rank error under golden-spiral ~137.5° spacing lands a distant
point — even Pos sprites: mean 3.55 / max 17.6). The sprite motion primitive
should be Signed360; ResidueEdge is a residue-edge codec, not a motion code.

**Follow-up (named, deferred):** an arbitrary-independent-ground-truth motion
probe (a captured 3-D trajectory the encoder did not generate) to promote the
helix-manifold [proven] result toward arbitrary-motion [H]. The wgpu/wasm decode
tiers (plan §Decode tiers b/c) remain deferred on the shared PROBE-GPU-LUT harness.
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