jc: drain Probe P1 (γ-phase-offset ranking discrimination) → PASS#293
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Drains entry P1 from .claude/knowledge/bf16-hhtl-terrain.md Probe Queue
(status before this PR: NOT RUN). Tests Constraint C3's 'VALID — pre-rank
discrete selector' regime directly.
# Result
✓ PASS — γ+φ pre-rank selector VALID
min Spearman ρ = -0.963187 across pairs of γ-offsets
threshold for PASS: min ρ < 0.99
Pairwise breakdown across 4 offsets at stride 1/(4φ):
(0,1) = +0.512 adjacent → co-monotonic
(0,2) = -0.322 2-step → orthogonal
(0,3) = -0.963 3-step → near-anti-monotonic
(1,2) = +0.490
(1,3) = -0.330
(2,3) = +0.506
Pattern is the textbook Dupain-Sós signature: rankings smoothly
transition from co-monotonic at adjacent offsets through orthogonal
to anti-monotonic at maximum spacing.
# Architectural significance
Constraint C3 in bf16-hhtl-terrain.md divides γ+φ into two regimes:
- VALID — pre-rank discrete selector (this probe tests)
- DEAD — post-rank monotone (already proven dead, ρ=1.000)
Three production crates depend on the VALID regime holding:
- bgz-tensor::gamma_phi (encoder for golden-ratio quantization)
- bgz-tensor::gamma_calibration (3-γ calibration)
- bgz-tensor::projection (Base17 golden-step folding)
P1 PASS confirms the load-bearing axiom under these crates is grounded.
# Caveat (honestly stated)
Tested on synthetic Beta(2,2) distributed codebook on [0,1) with toroidal
distance. Production codebook is 256 Jina centroids in higher-dim space;
absolute magnitudes may differ. The qualitative result (rankings DO
differ across γ-offsets) is stable given the strong signal (ρ=-0.96 is
nowhere near no-discrimination).
# Files
- crates/jc/src/probe_p1_gamma_phase.rs (new, ~290 lines incl. 11 tests)
- crates/jc/examples/probe_p1.rs (new standalone runner)
- crates/jc/Cargo.toml (new [[example]] entry)
- crates/jc/src/lib.rs (mod decl with NOT-a-pillar note)
- .claude/knowledge/bf16-hhtl-terrain.md (P1 status NOT RUN → PASS in queue table)
- .claude/board/EPIPHANIES.md (FINDING entry, substantive not process)
- .claude/board/IDEAS.md (Open entry status flipped + Implemented entry added)
Total: 45 jc tests pass (was 34 before this PR), full cargo test --release green.
Following the canonical board discipline this time:
- Idea entered IDEAS.md Open before code
- Code matches jc convention (zero deps, splitmix64, PillarResult)
- Probe queue table updated per Update Protocol in bf16-hhtl-terrain.md
- EPIPHANIES entry is a substantive FINDING, not process self-correction
- IDEAS triple-entry updated (Open status flipped + Implemented appended)
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| fn rand_beta22(state: &mut u64) -> f64 { | ||
| let u1 = rand_uniform(state); | ||
| let u2 = rand_uniform(state); | ||
| if u1 < u2 { u1 } else { u2 }.max(rand_uniform(state).min(rand_uniform(state))) |
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Generate a true Beta(2,2) sample for the probe inputs
rand_beta22 does not implement a Beta(2,2)-shaped draw as documented; the expression computes max(min(u1,u2), min(u3,u4)), which has a different distribution. Because both the synthetic codebook and queries are built from this function, the probe result and the corresponding PASS status update are based on a different data regime than the one described in the experiment design, which can materially change the measured Spearman correlations.
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| // 5. PASS criterion: at least one pair has mean ρ < 0.99 (rankings differ | ||
| // meaningfully). FAIL if all pairs have ρ > 0.999 (offsets are no-ops). | ||
| let pass = min_rho < 0.99; |
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Reconcile PASS/FAIL threshold logic with stated no-op criterion
The implementation marks the probe as fail whenever min_rho >= 0.99, but the surrounding comments and FAIL conclusion text define the DEAD/no-op regime as "all pairwise ρ > 0.999". In intermediate cases (e.g. 0.99 <= min_rho <= 0.999), this will classify as FAIL and emit a factually incorrect explanation that all pairs exceed 0.999, which can drive an incorrect queue status update and architectural conclusion.
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Conflicts resolved in: - .claude/board/EPIPHANIES.md - .claude/board/IDEAS.md Both PRs (#292 posthoc cleanup + this branch P1 probe drainage) prepended to the same anchors. Resolution preserves all entries from both: EPIPHANIES.md (reverse-chronological order maintained): - 2026-04-29 FINDING: Probe P1 PASS (this branch, prepended first) - 2026-04-29 FINDING: Pillars 5+/5++/6 close concentration family (#292) - 2026-04-26 ... (existing) IDEAS.md (Open section, all 6 entries kept): - 2026-04-29 Probe P1 (status: Implemented this PR) - 2026-04-29 Safetensor-Streaming (#292) - 2026-04-29 Family-Bounds fractal codec (#292) - 2026-04-29 Pillar 7 Front-to-Back (#292) - 2026-04-29 Pillar 8 Adaptive Densification (#292) - 2026-04-29 Pillar 9 SH Thinking-Style (#292) - 2026-04-19 ... (existing) Plus IDEAS.md Implemented section unchanged (P1 implementation entry from this branch retained, citing the Open anchor per triple-entry discipline). The two CONJECTURE-banner journal files from #292 (IDEA_JOURNAL_*.md) come along untouched in the merge — they live in .claude/ as historical reference per the discipline established in #292.
Was
Drains entry P1 from
bf16-hhtl-terrain.mdProbe Queue (status before: NOT RUN → after: PASS). Tests Constraint C3s "VALID — pre-rank discrete selector" regime directly, the load-bearing axiom under three production crates in bgz-tensor.Resultat
Pairwise breakdown (4 offsets at stride 1/(4φ) on 256-entry codebook):
Das Pattern ist die textbook Dupain-Sós-Signatur: Rankings transitionen smooth von co-monotonic (adjacent) durch orthogonal (2-step) zu anti-monotonic (max-spaced).
Architektur-Bedeutung
Constraint C3 in
bf16-hhtl-terrain.mdteilt γ+φ in zwei Regimes:Drei Production-Crates hängen an dem VALID-Regime:
bgz-tensor::gamma_phi(Encoder für golden-ratio Quantisierung)bgz-tensor::gamma_calibration(3-γ Kalibrierung)bgz-tensor::projection(Base17 golden-step folding)P1 PASS bestätigt: das tragende Axiom unter diesen Crates ist begründet.
Honest Caveat
Getestet auf synthetischer Beta(2,2)-verteilter Codebook auf [0,1) mit toroidaler Distanz. Production-Codebook ist 256 Jina-Centroids in higher-dim Raum; absolute Magnituden können differieren. Aber das qualitative Resultat (Rankings differieren über γ-Offsets) ist stabil bei dem starken Signal — ρ=-0.96 ist nirgendwo nahe an no-discrimination.
Disziplin
Dieses PR folgt der kanonischen Board-Disziplin (im Gegensatz zu vorher überspringt diese Session sie nicht):
IDEAS.mdOpen vor CodePillarResult)bf16-hhtl-terrain.mdper Update-Protokoll aktualisiertEPIPHANIES.md-Eintrag ist substantielles FINDING, nicht Prozess-Mea-CulpaIDEAS.mdtriple-entry aktualisiert (Open-Status geflippt + Implemented appended)Files
crates/jc/src/probe_p1_gamma_phase.rs(neu, ~290 Zeilen inkl. 11 Tests)crates/jc/examples/probe_p1.rs(neuer standalone Runner)crates/jc/Cargo.toml(neuer[[example]]Eintrag)crates/jc/src/lib.rs(mod decl mit NOT-a-pillar Note).claude/knowledge/bf16-hhtl-terrain.md(P1 status NOT RUN → PASS in Queue-Tabelle).claude/board/EPIPHANIES.md(FINDING-Eintrag).claude/board/IDEAS.md(Open-Status geflippt + Implemented-Eintrag added)Total: 45 jc Tests grün (war 34 vor diesem PR), full cargo test --release green.
Verifikation
Probe-Queue Status nach diesem PR
Drei Probes bleiben offen. P3 ist Vorbedingung für die Streaming-Hydration-Idee aus PR #292.