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The CORE-Logos "Crown Proof" — ADR-0015's claim that cross-language holonomy
closure is THE validation gate of meaning — was measured against a criterion
registered before the run, and refused.
G1 separation, all negatives AUC 0.557 (chance 0.500, bar 0.80) FAIL
G2 hardest class, cross-pairing AUC 0.664 (bar 0.75) FAIL
G3 word-order sensitivity 0.644 (bar 0.90) FAIL
G4 no collapse re-entry 0 lost (bar: 0) PASS
G4 is the half that succeeded: the repairs work. The claim is what failed --
which is the outcome the registration called "worth as much as a GO", because
it retires the largest piece of unearned design in the system.
Both preconditions had to be BUILT before the question could be asked at all,
which is why the 2026-06-14 negative constrained nothing: the shipped compiler
collapsed 37-53 coordinates, and holonomy_encode never closed. Measured on the
repaired ground with a genuine loop, over 1,016 aligned pairs and 58,375
mechanically-generated negatives in three classes, nothing hand-picked.
Diagnosis, not just a number: the encoding reacts more strongly to REORDERING a
clause (median deviation 41.2) than to CHANGING WHAT IT IS ABOUT (32.2). It
measures path shape, not content -- and that follows from the algebra, since
permutation acts on an ordered product through non-commutativity, a first-order
effect, while substituting one of three factors perturbs it only through that
factor. The negative classes do order correctly by meaning-distance
(aligned 27.2 < lexical 32.2 < order 41.2 < cross-pair 53.2), so the geometry is
weak signal rather than noise -- a correlation where the design asked for a gate.
Consequences, all landed here:
* ADR-0005 and ADR-0015 AMENDED to record the refusal. The three-language
architecture, the pack contract, morphology-as-structure and Hebrew root
folding into geometry all survive untouched; only the claim that alignment
or closure VALIDATES meaning is retired.
* tests/test_fa1_gate_verdict.py is the tripwire: if a future encoding makes
the gate real, it fails, and the amendment is withdrawn in the same commit
that replaces it with a proof. Two sabotages observed red.
* allow_cross_language_recall RULED by measurement (work-order item 3): it
gates vault-recall depth over field states, has no language argument and no
cross-language path, and reaches only walk_surface, which runtime_contracts
declares telemetry. Stays ON, reclassified DEPLOYMENT, flip condition
recorded. G-25's own claim that it was "the pillar's own switch" is
CORRECTED -- that read the flag's name instead of its call graph, which is
the error the audit exists to find.
* A sixth defect found while building the harness: en_collapse_anchors_v1
declares role "collapse_anchor", which is not a LanguageRole member, so
load_pack() raises. It is registered in the resolver, consumed by opening
lexicon.jsonl on a raw path that bypasses the loader, and is the target of
all 24 alignment edges that still resolve to nothing. The enum's own comment
records the identical failure once before (ADR-0097, domain_seed).
The repairs cross to the keel on their own merit regardless of the verdict:
geodesic blending removes every coordinate collision, and mount-wide edge
resolution connects 39 of the 63 dead edges. The collapse was damaging English's
own vocabulary; seeing that required no theory of meaning.
FA-1 is CLOSED: all four work-order items discharged, L2 verdict recorded as
defective-but-repairable with its central design claim retired.
[Verification]: uv run core test --suite smoke -q -> 786 passed in 239.45s, EXIT=0
(+4 tests, +15s vs the prior 782/224s -- the FA-1 pin's stated cost).
Doc-parsing pins re-run after the ADR and register amendments:
test_adr_status_governance + test_adr_index -> 321 passed;
test_flag_register -> 6 passed.
126 lines
7.6 KiB
Markdown
126 lines
7.6 KiB
Markdown
# FA-1 verdict: **NO-GO** — cross-language holonomy does not discriminate meaning
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**Date:** 2026-07-28 · **Criterion registered before the run** at `94f05ba8`
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(`docs/analysis/fa1-holonomy-gate-preregistration.md`, amendment A1 recorded before any
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number existed) · Runner: `evals/logos/fa1_gate.py` · Deterministic, re-run bit-identical.
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> **G4 held.** The repairs work: the ground is clean and the loop closes. The design's
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> claim is what failed. Per the registration, this is a full-credit result — *"the outcome
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> that would retire the largest piece of unearned design in the system, and it is worth as
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> much as a GO."*
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---
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## 1. The result
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| Gate | Requirement | Observed | |
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|---|---|---|---|
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| **G1** separation, all negatives | AUC ≥ 0.80 | **0.557** | ✗ |
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| **G2** hardest class (cross-pair) | AUC ≥ 0.75 | **0.664** | ✗ |
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| **G3** word-order sensitivity | ≥ 0.90 | **0.644** | ✗ |
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| **G4** no collapse re-entry | `coordinates_lost == 0` | **0** | ✓ |
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**VERDICT: NO-GO.** AUC 0.557 against a chance floor of 0.500.
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**Controls, reported per anti-gaming rule 4.** Max self-loop deviation `d(A,A) = 3.6e-06`
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across all 1,016 aligned pairs — the instrument can report closure, so a null result is a
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measurement and not a broken metric. Corpus: **83 authored edges, 59 resolved under R3, 24
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concepts** (6 tri-language, 18 bi-language), **2,024 clause sets**, **1,016 aligned pairs**,
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**58,375 negatives** (50,748 lexical · 5,080 word-order · 2,547 cross-pair).
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## 2. The signal is real, in the right direction, and far too weak
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The negative classes order themselves exactly as meaning-distance would predict:
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| Class | median `d` | AUC vs aligned |
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|---|---|---|
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| **aligned** (same content, two languages) | **27.20** | — |
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| lexical substitution (one word changed) | 32.17 | 0.547 |
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| word-order permutation (same words, reordered) | 41.17 | 0.602 |
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| cross-pair (entirely different content) | 53.23 | 0.664 |
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Aligned pairs *do* close tighter than negatives, and the further a negative is from the
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original meaning the wider its loop opens. The geometry is not noise. But the distributions
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overlap so heavily that a classifier built on `d` is barely better than a coin — and the
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design does not ask for a correlation, it asks for **a validation gate**. A gate at AUC 0.557
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would refuse correct articulations and admit wrong ones at nearly the same rate.
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## 3. Why it fails — the diagnosis, not just the number
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**The encoding is more sensitive to permutation than to substitution.** Reordering the same
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three words moves `d` from 27.2 to 41.2. Replacing one of the three words with a *different
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concept* moves it only to 32.2. A quantity that reacts more strongly to shuffling a clause
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than to changing what the clause is about is measuring **path shape, not content**.
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That follows from the algebra rather than from any defect: `F(X)` is an ordered geometric
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product, so permutation acts on it through non-commutativity — a first-order effect — while
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substituting one of three factors perturbs it only through that factor's own difference.
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Word order is structurally louder than word identity, and meaning lives mostly in identity.
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And even the order sensitivity is unreliable per-pair: **G3 = 0.644**, so a third of all
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permutations make the loop close *tighter* than the correctly-ordered clause. ADR-0015's own
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stated test — *"word-order changes should change holonomy"* — is satisfied only in the trivial
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sense that the number moves. It does not move in a consistent direction.
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## 4. What this does and does not settle
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**Settled.** Cross-language holonomy closure, as ADR-0005/0015 specify it, is **not** a
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validation gate of meaning — measured on a ground with zero coordinate collisions, with a
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genuinely closed loop, with mechanically-generated negatives in three classes and no
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cherry-picking, at a corpus 1,000× the size of the June measurement. The two conditions that
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made the June negative uninterpretable were removed and the answer did not change; it became
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*more* precise.
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**Not settled, and deliberately not tested here.** The cross-language alignment strength is
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`0.10` — the value the compiler declares — so aligned tokens across languages sit only 10% of
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the way toward each other. A stronger coupling would raise separation, and at strength `1.0`
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it would reach it trivially, by re-collapsing the manifold into exactly the state FA-1 found
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and G4 forbids. Somewhere between those lies a question worth asking, and **this experiment
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does not ask it**, because selecting a coupling *after* seeing the registered value fail is
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the definition of the tuning this registration's anti-gaming rules forbid.
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If it is ever asked, it must be its own pre-registration, and it must carry a criterion that
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G4 cannot be traded against: **separation must improve faster than distinctness degrades**,
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with both measured, or the "improvement" is just collapse arriving by a slower road.
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**Also not settled:** the token-level question. Whether *individual* aligned versors sit
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closer than unaligned ones on the repaired ground is a narrower claim than the clause gate,
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and the four tests that nominally proved it are decoration
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(`docs/analysis/logos-substrate-collapse-2026-07-28.md` §3). It is worth measuring honestly.
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It is not this result and cannot be used to soften it.
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## 5. Consequences — what changes
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1. **The validation-gate claim is retired.** ADR-0005 and ADR-0015 are amended: cross-language
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holonomy resonance is recorded as **measured and not supported**, with this verdict as the
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authority. The phrase *"This is the CORE-Logos proof"* does not survive the measurement it
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invited. The ADRs are amended, not deleted — the design was a real hypothesis, honestly
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stated, and it was tested.
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2. **The depth packs keep a smaller, earned role**: lexical and morphological resources with
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real cross-language concept alignment (24 concepts, 59 resolved edges), and Hebrew root
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folding into geometry at compile time (`triliteral:`), which is untouched by this verdict.
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3. **The keel's L3 takes the NO-GO branch.** `logos/` is admitted as lexicon + morphology.
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K4's meaning criterion must come from somewhere other than cross-language closure — which
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is now a known constraint on the perception design rather than an assumption inside it.
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4. **The repairs are worth carrying anyway, and independently of this verdict.** R1 (geodesic
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blending) removes 53 coordinate collisions from the six-pack mount and 37 from the
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trilingual one; R3 connects 39 of the 63 dead alignment edges. A ground that keeps its
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distinctions is worth having whether or not holonomy is its gate — the collapse harmed
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English's own vocabulary, and no theory of meaning was required to see that.
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## 6. What this cost, and what it bought
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One session. It closed the largest open design question in the system with a measurement
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instead of a belief, and it did so by first finding that the question had never been askable:
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the ground was collapsed and the loop was open, so the June negative measured neither the
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design nor the geometry.
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The register of geometric-substrate verdicts now reads: wedge **C3-decoration**, operator
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ablation **identical-to-baseline**, ADR-0252 §5 **NO-GO**, cross-language holonomy **NO-GO on
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a clean ground**. Four independent negatives is not a run of bad luck; it is a boundary. The
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honest reading is that this substrate's value has not been demonstrated in *reasoning* — while
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its value in *representation* (exact recall, versor conditioning, determinism) is measured and
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holds. The keel should be built on what is measured.
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**Reproduce:** `uv run python -m evals.logos.fa1_gate` · pinned by
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`tests/test_fa1_gate_verdict.py` · raw output in this document's §1–2 tables.
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