epiphanies: DeepNSM-facet Morton-comma — blind-convergence adjudication + implicit-256:256-tile probe#759
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Two independent blind implementations of the merged #758 spec (§3.2-3.5, lemmas_5k.csv) converged byte-identically: rho_all=0.9992, NN-flip 12/256, anchor we/will -1915 ranks. Rulings: - Header-invariance (orthogonality) CONFIRMED — the load-bearing half. - PF=Header is the game-matrix equilibrium; PF=Payload demonstrably corrupts near-neighbor structure (localized tail collapse). - The pre-registered §3b double-decile falsifier is structurally mis-scoped: a rank-stratified widening (full frequency range) still returns an empty near-decile ∩ freq-far-decile set, because semantic- nearness and frequency-nearness are positively correlated. Retire the set-membership clause; the live falsifier is NN-flip (3a) + anchor (4). Second criterion-vs-data miscalibration on this probe after the Codex P1. Records E-DEEPNSM-FACET-BLIND-CONVERGENCE-1; adds a supersession note to the merged spec doc §3.5. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01K3RyLEbuNSHxxB3NTTrGki
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📝 WalkthroughWalkthroughDocuments two measured findings: an implicit Morton distance probe and DeepNSM facet blind-run convergence. It also supersedes the prior §3b criterion and identifies NN-flip and named-anchor measurements as the live falsifiers. ChangesMeasurement updates
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…t, two fidelities Runs the OGAR F11-adjacent hierarchical-4^4 vs flat-256 named test on the committed 8-genre semantic vectors. Address-only Morton distance (pure shift/mask on the byte, no centroid load): rho 0.51 hierarchical vs 0.41 flat — the hierarchy->address->distance correspondence is real (canon direction holds) but coarse. ADC over the stored 256-centroid codebook: rho 1.0 by construction — the 64k pairwise table is never materialized. Ruling: the address does two jobs at two fidelities, neither needs the 64k table. Routing/prefix-scoping = address-only (coarse is correct); metric = ADC over the 2KB codebook (never 64k). Composes with the header/payload split: header=routing (address-only, why frequency-as- header works), payload=metric (needs centroids, why frequency-in-payload corrupts). Records E-IMPLICIT-MORTON-TILE-1. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01K3RyLEbuNSHxxB3NTTrGki
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| > 3b **set-membership** clause of §3.5 is therefore RETIRED as mis-scoped; the | ||
| > live falsifier is measurements **3a (NN-flip) + 4 (named anchor)**, which fire | ||
| > cleanly and identically across both blind runs. Verdict this arc: |
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As written, this supersession says the 3b set-membership clause is retired and that the live falsifier is 3a plus the named anchor, but the PASS/COLLAPSE criteria immediately below still require the 3b corrupted set to show positive inflation and rank displacement. For anyone using this spec after the documented empty 3b outcome, COLLAPSE CONFIRMED remains impossible under §3.5 even though the note says it should be decided by 3a+4, so the gate and the correction disagree.
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Two board findings from the DeepNSM × Morton-comma facet arc. Additive: board + spec-doc only, no core/code change.
1.
E-DEEPNSM-FACET-BLIND-CONVERGENCE-1— blind diverse-redundancy adjudicationTwo independent implementations of
PROBE-DEEPNSM-FACET(spec §3.2–3.5, merged #758) — session A + an operator-run session B, each from the spec text alone against committedlemmas_5k.csv— converged byte-identically: ρ_all 0.9992, NN-flip 12/256, anchor we/will −1915 ranks, empty §3b.2.
E-IMPLICIT-MORTON-TILE-1— is the 256:256=64k tile distance table implicit?Runs the OGAR F11-adjacent "hierarchical-4⁴ vs flat-256" named-but-unrun test on the committed 8-genre vectors. Builds a 256-centroid codebook as a 4-level 4-ary hierarchy; compares address-only Morton distance (shift/mask on the byte) vs materialized L2.
Ruling: the 64k pairwise table is implicit in both readings, but the address does two jobs at two fidelities — routing (address-only shift/mask, coarse is correct) and metric (ADC over the 2 KB codebook, ρ=1.0). Composes with finding 1: header = routing (why frequency-as-header works), payload = metric (why frequency-in-payload corrupts). The comma supplies fine structure for a continuous perturbation field over the tile, not for discrete cell↔cell metric.
Changes
.claude/board/EPIPHANIES.md— prepends both entries..claude/plans/deepnsm-morton-comma-facet-v1.md— §3.5 supersession note (anchor/NN-flip falsifier).🤖 Generated with Claude Code
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