DeepNSM × Morton-comma facet — design + PROBE-DEEPNSM-FACET spec (blind-replication handoff)#758
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…ec (blind-replication handoff) Design handoff for independent replication (RESULTS-FREE by construction). A DeepNSM word becomes a V3 facet: classid(4B)=norm(prefix,frequency,PoS) routing header + 6×(FisherZ:FisherZ) semantic payload (256:256 distribution, cosine replacement). Carries the game-matrix design theory (equilibrium = (Address,Dist,Header); the Payload lane is a fidelity-breaking defection) and the PROBE-DEEPNSM-FACET lane-test spec — the decisive cell: does frequency-in-payload collapse semantic distance vs frequency-in-header, measured on the committed lemmas_5k.csv 8-genre proxy. Adds: scaling to 20k academic COCA (academic_20k.csv committed, 20,845 rows — the header-rich list that structurally confirms the lane separation; O(V) not O(V²)), and the 144-verb (12×12) universal-grammar wiring hook (coarse anchor = verb-atom, NSM-prime pattern at grammar scale). Replication protocol: both sessions implement independently from the spec; results held for operator adjudication; no results in the PR/board until the operator confirms both have run. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01K3RyLEbuNSHxxB3NTTrGki
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| how many such pairs have `d_payload < d_truth` (pulled artificially closer by | ||
| shared frequency) = the collapse count; and the mean Δ = `d_payload − d_truth` |
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When implementers run the prescribed PAYLOAD lane from §3.3, appending normalized frequency makes d_payload = sqrt(d_truth^2 + (fa-fb)^2), so d_payload < d_truth is mathematically impossible for every pair. This means the pre-registered collapse count and anchor checks will always report zero/no inversion regardless of the CSV contents, invalidating the blind replication experiment rather than testing the intended defection.
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Correct and fixed in 0314c66. The append d_payload = √(d_truth² + Δf²) ≥ d_truth makes absolute inversion impossible, so §3.4/§3.5 no longer test "d_payload < d_truth". The collapse falsifier is now neighbor/rank corruption: (a) nearest-neighbor flip rate under the header-appended metric vs the pure-payload metric, and (b) inflation + downward rank-displacement of the semantically-near / frequency-far set (append pushes divergent-frequency near-synonyms apart). COLLAPSE CONFIRMED iff ρ_all < 1.0 AND neighbor-flip non-zero AND near-far displacement present. Implementers should pull the corrected spec before building the PAYLOAD lane.
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Codex P1 (correct): appending normalized frequency gives d_payload = sqrt(d_truth^2 + df^2) >= d_truth by Pythagoras, so d_payload < d_truth is impossible — the old collapse falsifier would always report zero and falsely REFUTE the defection, invalidating the blind experiment. Fix the operationalization: the real defection is neighbor/rank corruption, not absolute inversion. Frequency inflation pushes semantically-near-but-frequency-far pairs APART and reorders the neighborhood. New measurements: (3a) nearest-neighbor flip rate; (3b) inflation + downward rank displacement of the semantically-near/frequency-far set; (4) computed anchor = the nearest-decile pair with the largest frequency gap, its rank fall. PASS/COLLAPSE criteria updated to rho<1 + neighbor-flip + near-far displacement. Optional fixed-width REPLACE variant noted (where absolute inversion does arise). Spec stays results-free. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01K3RyLEbuNSHxxB3NTTrGki
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
…on + implicit-256:256-tile probe (#759) * epiphanies: blind-convergence adjudication of PROBE-DEEPNSM-FACET 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 * epiphanies: implicit-Morton-tile probe — 256:256=64k table is implicit, 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 --------- Co-authored-by: Claude <noreply@anthropic.com>
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What this is
A design handoff for independent (blind) replication. It carries the
Morton-comma design applied to
crates/deepnsm, plus thePROBE-DEEPNSM-FACETspecification — and deliberately NO measured results. Each session implements
and runs the probe independently from this spec; results are held for operator
adjudication (see the doc's § Replication protocol).
The design (one line)
A DeepNSM word = a canonical V3 facet:
classid(4B) = norm(prefix, frequency, PoS)(routing/attention header)| payload(12B) = 6 × (FisherZ:FisherZ)(semantic distribution, 256:256 cosinereplacement — analytic Fisher-z 48 B or materialized palette256).
The decisive measurement (the lane test)
The game-matrix equilibrium is
(Address, Dist, Header); the defection trapis folding prefix:frequency into the payload axes. The probe measures exactly
that on committed data (
lemmas_5k.csv8-genre per-million proxy): doesfrequency-in-payloadcollapse the distance of high-frequency-but-genre-distantpairs (the
the/thisshape), whilefrequency-in-headerstays invariant? Fullspec — normalization, the two lanes, metrics, pre-registered PASS/COLLAPSE
criteria — is in the doc §3.
Also folded in
academic_20k.csvcommitted (20,845 rows). The regimewhere O(V) render beats the O(V²) matrix, and a header-rich list that
structurally confirms the lane separation.
atom = interpretable, universal coarse byte; the NSM-prime pattern at grammar
scale). Design hook (v2), basis-agnostic to the §3 lane test.
Replication protocol
Both sessions implement independently from this spec (diverse impls — e.g. Rust
vs Python — strengthen the witness); no results in this PR, PR comments, or the
board until the operator confirms both have run. Deterministic (no RNG; fixed
pair sets by rank) → same committed CSV + same spec should converge if the design
is real.
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https://claude.ai/code/session_01K3RyLEbuNSHxxB3NTTrGki
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