@@ -115,6 +115,15 @@ any float-path GPU bit-exactness claim.
115115| Plan E bench | bits/Gaussian on Mip-NeRF 360 | ≤4 bits | R-10 re-derived; web-streaming claim withdrawn |
116116| a2ui N2 | wgpu ` webgl ` feature + texture upload, wasm32-tested | render parity headless vs browser | GPU raster tier deferred; CPU raster only |
117117
118+ ** Run this wave — h268-probe-wave-v1 (2026-07-16, reviewer-adjudicated;
119+ probes live in lance-graph ` bgz-tensor ` /` jc ` /` helix ` ):**
120+
121+ | Probe | Verdict | Numbers | Consequence |
122+ | ---| ---| ---| ---|
123+ | PROBE-WH-MAG | NEUTRAL / bare-tile leg NOT-TRANSFERRING | B/A 0.929 / 1.317 / 1.869 (grad+spike / heavy-tail / noise) | §10 [ H] leg: WH-on-bare-tiles does not transfer; shipped row codec (lance-graph E-PALETTE-RESIDUAL-LADDER-1) untouched; PROBE-WH-MAG-2 deferred |
124+ | 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 |
125+ | 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 |
126+
118127## 7. Comma closure — the replayable irrational (constants correction folded in)
119128
120129The Pythagorean comma is the residue of a stack of pure fifths that never
@@ -351,15 +360,30 @@ bytes actually stored are magnitudes. Same object, two consumers.
351360 (the integer-only GPU caveat) unless a deterministic-backend probe is
352361 added. Within that scope, counterfactual replay stores ** zero**
353362 exploration state.
354- - ** (g) Anti-confabulation = anti-moiré in concept space [ H, probe-gated] **
355- — a coprime probe schedule is decorrelated from the palette lattice by
356- construction, and a * known* period-17 dependence structure is plausibly
357- friendlier to ` I-NOISE-FLOOR-JIRAK ` 's weak-dependence analysis than an
358- * unknown* PRNG correlation structure. The "friendlier" half is an
359- ** unverified inference** : the period-17 permutation self-test proves
360- bijectivity, NOT decorrelation. Promotion to FINDING requires a measured
361- dependence probe — the walk's correlation spectrum against the palette
362- lattice vs a PRNG baseline, judged under Jirak weak-dependence rates.
363+ - ** (g) Anti-confabulation — the "decorrelated by construction" half
364+ KILLED 2026-07-16 (PROBE-WALK-SPECTRUM); the "known structure" half
365+ CONFIRMED.** The coprime walk's period-permutation self-test proves
366+ bijectivity and gives a KNOWN, replayable, closed-form dependence
367+ structure (period-17 harmonics measured |R| = 0.998/0.996/0.994,
368+ matching R(17m)=1−8m/N) — real value for auditability and conformance.
369+ But it is ** NOT decorrelated from the palette lattice** : the parity of
370+ a full-period-17 permutation is an exact period-17 ±1 waveform, so its
371+ autocorrelation at lag τ is governed by C(τ mod 17) at EVERY lag, and
372+ the lattice periods land on large sidelobes — measured walk |R| max
373+ 0.875 at τ=64 (64 mod 17 = 13, C(13)=C(4)=−15, −15/17 ≈ −0.882) vs a
374+ PRNG baseline's 0.0205, i.e. 42.7× (≫ the 3× kill bar).
375+ ` gcd(17,τ)=1 ` guarantees a full-period permutation, NOT low
376+ autocorrelation. So the "anti-moiré in concept space / friendlier to
377+ ` I-NOISE-FLOOR-JIRAK ` " inference is ** struck** — strong periodic
378+ autocorrelation is if anything worse for weak-dependence rates than a
379+ PRNG's ≈−1/N floor. Genuine decorrelation, if ever needed, requires a
380+ DESIGNED low-autocorrelation sign sequence (Legendre/quadratic-residue
381+ Paley over a prime p≫17, or a maximal-length LFSR m-sequence), NOT the
382+ coprime walk. ** Unaffected:** the walk's bijectivity/quantization role
383+ and OGAR D-QUANTGATE stay canon — the coprime walk QUANTIZES by
384+ construction (bijective closure + WGSL-portable integer stride), which
385+ this probe does not challenge; only the anti-moiré / lattice-
386+ decorrelation consequence dies.
363387- ** (h) Exact phase-side unbinding** — sign is recomputable per address
364388 with no cleanup codebook needed; a cleanup codebook is only needed for
365389 magnitudes. The two-algebra rule (sign = XOR, magnitude = ` vsa_bundle ` ,
@@ -402,6 +426,20 @@ fourth-mode/anchor discussion (§8):
402426 ** PROBE-WH-MAG:** reconstruction error of WHT₁₆+i4/i2 vs direct i4/i2
403427 on real tile magnitudes (bgz-tensor's row-level win does not
404428 automatically transfer to 16-cell tiles).
429+ ** RESULT (2026-07-16, PROBE-WH-MAG, plan h268-probe-wave-v1):**
430+ NEUTRAL — bare-tile leg NOT-TRANSFERRING. B/A = 0.929 (gradient+spike)
431+ / 1.317 (heavy-tailed) / 1.869 (uniform-noise) over 256 tiles/class at
432+ dim 16: misses the <0.9 PASS bar everywhere, regresses past 1.1 on two
433+ classes. WHT₁₆ spreads a tile's outlier energy across all 16 cells,
434+ inflating the per-cell quantization floor where the direct cascade
435+ quantized 13-14 near-zero cells for free; WH helps only where energy
436+ is pre-spread (the 0.929 smooth-gradient class) or where an outlier
437+ escapes to a passthrough tier first. The bare-tile probe has neither
438+ the passthrough escape nor the centroid residual the shipped row codec
439+ (lance-graph E-PALETTE-RESIDUAL-LADDER-1) pairs WH with — so the
440+ row-level win does not transfer to per-tile granularity, and the
441+ shipped row codec is untouched. Follow-up PROBE-WH-MAG-2 (WH + escape
442+ tier + centroid residual) deferred to a per-tile-codec consumer.
405443- ** [ S] Signature as the replayable-trajectory checksum.** The x264
406444 contrast in §7 asked for a replayable, checksummable stream; the
407445 Hambly–Lyons signature is the canonical path digest with a uniqueness
@@ -414,6 +452,16 @@ fourth-mode/anchor discussion (§8):
414452 the Pillar-11 harness) of a temporal-stream trajectory as its digest —
415453 verify replay-identity, tree-like edits invisible (correctly), non-tree
416454 perturbations caught.
455+ ** RESULT (2026-07-16, PROBE-SIG-CHECKSUM, plan h268-probe-wave-v1):**
456+ PASS, with a depth-2 blind-spot bound. Replay bit-exact; tree-like
457+ mid-path A→B→A excursion invisible (0.0 < 1e-9); non-tree interior
458+ displacement caught (11.31 > 0.05). Bound (exact identity): at DEPTH=2
459+ an interior displacement PARALLEL to the neighbor chord
460+ ` path[i+1]−path[i−1] ` is signature-invisible (the level-2 signed-area
461+ term vanishes; level-1 is endpoint-invariant), so the digest's null
462+ space strictly EXCEEDS tree-like equivalence — the depth-2 digest does
463+ not catch ALL non-tree edits. Mitigable by depth 3 or a paired
464+ independently-projected digest.
417465Both stay conditional on the same ledger above; neither adds a stored
418466field to the tile (the WH rotation is derivable, the signature is a
419467derived digest).
0 commit comments