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Paper 4HUBIFY-2026-00426 pages46 refsTarget: MNRAS

Paper 4

Survey-Scale Galaxy Chirality with Equivariant TTA: A Null Real-Space Chirality Dipole, a Quantifiable Monopole-Mask Leakage Channel, and Diagnostic Evidence for a Depth/Morphology-Correlated Canonical-Mask Residual on 8.47 Million DESI Legacy Galaxies (3.2 Million Spirals)

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Classifies 8.47M galaxies for spiral handedness with a rotation-equivariant ViT ensemble and finds a null real-space chirality dipole (+0.41σ, rank-p=0.31; A_dip < 6.8×10⁻³ at 95% UL) — the earlier −0.122σ subsample-mask null was withdrawn in v1.0.166 after a provenance audit.

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PDF · 26 pp · v1.0.209 · updated Jul 1, 2026 · md5 35c8d42d · 33 MBMNRAS
Read PDFDownload PDFLaTeX sourceScience highlightsChirality catalog (HuggingFace)Classifier model (HuggingFace)
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The galaxy chirality catalog: 8.47M galaxies classified CW/CCW by a ViT-Small ensemble with rotational-equivariance correction (2.98× asymmetry suppression). The parity test is the dipole — the real-space fit at +0.41σ (empirical-rank p=0.31, regenerated from the fixed null generator in v1.0.168) plus a template-fit exclusion of a clean 1.7% dipole (z≈−18), with injection-recovery sensitivity A50 ≈ 0.75% and A95 bracketed in (1.0%, 1.5%]. The earlier −0.122σ subsample-mask MASTER null was withdrawn after a provenance audit traced it to a synthetic-footprint catalog; the MASTER channel is presented as a systematics diagnostic (+7.28σ on the real apodized footprint, unchanged under depth-stratified nulls — survey systematics, not cosmology). The 0.4974 CW monopole (−9.5σ) traces to GZ1 training-label bias: spatially uniform, not parity violation.

Path to publication
  1. Draft completedone
  2. Internal multi-model reviewdone

    Native-PDF autoloop: Claude · GPT · Gemini · Grok · Perplexity

  3. Cross-vendor rounds cleandone

    R25conf CLEAN — round 2-of-2 post-retraction requirement met

  4. External journal-style reviewin progress

    3 rigorous review rounds complete (Round A/B/C, INT+EXT, Jun 28-30 2026) on top of the de-biased external validation: 23 real items closed program-wide; final neutral truth-audit found 0 genuinely-new real findings. Verified internally honest; remaining external MAJORs are disclosed caveats + submission-time DOI/arXiv blockers + LLM-referee variance. Houston sign-off pending.

  5. Houston sign-offwaiting on Houston

    EXT22 confirm pending before final sign-off gate

  6. arXiv submissionqueued

    First in queue — awaiting EXT22 confirm + Houston sign-off

Focus areasNovelty: N3
  • Real-space ℓ=1 dipole headline: +0.41σ (empirical-rank p=0.31, fixed null generator; A_dip < 6.8×10⁻³ at 95% UL) — earlier −0.122σ subsample-mask MASTER null withdrawn in v1.0.166 (synthetic-footprint provenance, Appendix A)
  • Joint nuisance-marginalized template fit: a clean 1.7% f_CW dipole excluded at >99% confidence (z≈−18 under the adopted block-bootstrap error model, NSIDE=8 super-pixels, N_boot=1000; residual is spatially coherent)
  • MASTER channel as systematics diagnostic: +7.28σ on the real apodized footprint, unchanged under depth-stratified nulls — coherent depth/morphology survey systematic (interpretation (ii)), not cosmology
  • ℓ=2 cross-spectrum r=−0.65σ=−2.89 vs pixel-density proxy
  • Shamir 2020 vs 2022 split with arXiv IDs (post-R22 Perplexity BL-1)
Notable contributions
  • Largest spiral chirality catalog: 3.2M DESI Legacy spirals (471,049 high-confidence at p_CW^eq > 0.9)
  • Headline ℓ=1 chirality-dipole observable: real-space dipole at +0.41σ (empirical-rank p=0.31; A_dip < 6.8\times10^-3 at 95% UL) — the earlier -0.12σ subsample-mask pseudo-C_1 null was withdrawn in v1.0.166 after a provenance audit
  • Four-null systematic battery + direct cross-spectrum disfavors clean-dipole interpretation: ℓ=2 broadband, no quartile scaling, σ=-2.89 depth cross-spectrum at ℓ=2
  • Falsification criterion: >5σ detection at ≳ 0.75\% amplitude in future ≥ 10^7-galaxy systematics-modeled survey
Review history (94 rounds)
2026-07-02RS17-p4-v212-2026-07-02RS17 P4 v1.0.212 — over-claiming signpost LIFTS both MAJORs: Grok MINOR (0 MAJOR), Gemini MINOR (0 MAJOR); P4 CONVERGED (readiness 92→96)
2026-07-02RS15-targeted-2026-07-02RS15 targeted re-sweep — P4 morphology closure LIFTS residual-attribution flag (Grok+Gemini both MINOR, 0 MAJOR); P3 §IID/§III consistency fix CLEARS on both vendors
2026-07-01RS-FLOOR-SKILLS-2026-07-01Pattern-066 convergence adopted: '0 genuinely-new real findings' is the terminating gate
2026-07-01RS11-2026-07-01EXT RS11 — CONVERGENCE FLOOR: 0 genuinely-new real findings across all 6 papers
2026-07-01RS10-CLOSURE-2026-07-01RS10 closure: P4 T5 stat-bug removed, P1B sigma-distance scoped out, P3 REJECT was a misread
2026-07-01RS10-2026-07-01EXT RS10: 0/6 converge — fresh read surfaced 3 genuinely-new findings

Full review timeline for Paper 4 →

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You are an external referee for MNRAS / Physical Review D / JCAP (target journal depends on paper).

Attached: Paper 4 v1.0.212 — "Survey-Scale Galaxy Chirality with Equivariant TTA: A Null Real-Space Chirality Dipole, a Quantifiable Monopole-Mask Leakage Channel, and Diagnostic Evidence for a Depth/Morphology-Correlated Canonical-Mask Residual on 8.47 Million DESI Legacy Galaxies (3.2 Million Spirals)"
Source: pipelines/p2_chirality/chirality_catalog_paper.tex
PDF: PDF · 26 pp · v1.0.209 · updated Jul 1, 2026 · md5 35c8d42d · 33 MB

Read the FULL PDF end-to-end. Produce a referee report in MNRAS format with:

1. Recommendation: ACCEPT / MINOR REVISIONS / MAJOR REVISIONS / REJECT
2. BLOCKERS (must fix before publication) — list each with section/line + proposed fix
3. MAJORS (should fix) — same format
4. MINORS (polish) — same format
5. Strengths (>= 3 bullet points)
6. Specific scrutiny on:
   - Real-space ℓ=1 dipole headline: +0.41σ (empirical-rank p=0.31, fixed null generator; A_dip < 6.8×10⁻³ at 95% UL) — earlier −0.122σ subsample-mask MASTER null withdrawn in v1.0.166 (synthetic-footprint provenance, Appendix A)
   - Joint nuisance-marginalized template fit: a clean 1.7% f_CW dipole excluded at >99% confidence (z≈−18 under the adopted block-bootstrap error model, NSIDE=8 super-pixels, N_boot=1000; residual is spatially coherent)
   - MASTER channel as systematics diagnostic: +7.28σ on the real apodized footprint, unchanged under depth-stratified nulls — coherent depth/morphology survey systematic (interpretation (ii)), not cosmology
   - ℓ=2 cross-spectrum r=−0.65 σ=−2.89 vs pixel-density proxy
   - Shamir 2020 vs 2022 split with arXiv IDs (post-R22 Perplexity BL-1)

CALIBRATION (do not burn findings on these known classes):
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- A reporting choice that headlines the more favorable of two numbers, an unstated assumption, an uncontrolled systematic, or an internal inconsistency IS a real finding — classify it honestly (MINOR at minimum), not as mere "style" or "opinion".
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Key Results
  • 018.47M galaxies classified (1,687,069 CW / 1,634,726 CCW / 5,152,736 NOT_SPIRAL)
  • 02Real-space ℓ=1 dipole at +0.41σ (empirical-rank p=0.31, 10⁴ isotropic-null realizations from the fixed generator) with a formal A_dip < 6.8×10⁻³ 95% UL + template-fit exclusion of a clean 1.7% dipole at z≈−18; earlier −0.12σ subsample-mask null withdrawn (synthetic-footprint provenance)
  • 03Confidence-cut profile: full-sample z=+4.27 collapses to +0.41 at p_eq ≥ 0.6 — confirms the low-confidence-tail attribution of the 4.2σ diagnostic; per-galaxy label-shuffle null 0.58σ; HC selection explicit (N=949,584)
  • 04ℓ=1 MASTER decoupling numerically stable: full coupling-matrix condition number 3.17 (3.11/3.25 at 1°/3° apodization)
  • 05Bin-by-bin CW flatness audited across 4 morphology axes; residuals are classification correlations, orthogonal to dipole tests
  • 06Injection-recovery sensitivity: A50 ≈ 0.75% (50%-recovery at 3σ); A95 bracketed in (1.0%, 1.5%] — honest falsification window
  • 07Edge-on TTA equivariance check: CW fraction 0.4975 ± 0.0006 on 785,859 edge-on galaxies, indistinguishable from catalog-wide
  • 08Platt calibration: raw +0.79%/28.8σ → calibrated +0.4%/14.6σ → equivariant -0.26%/9.5σ
  • 09Equivariance suppression factor 2.98× (raw +1.58% → equivariant −0.53% in asymmetry-A units; +0.79% → −0.26% in f_CW units)
  • 10Harmonic-channel completeness anchor: an injected Shamir-class A_p=1.7% dipole would recover at z≈68–218 in the apodized MASTER channel (A_p=3%: z≈209–685) vs the observed +7.3 — incompatible in amplitude by over an order of magnitude
  • 11Hemisphere look-elsewhere null: p_LEE < 10⁻⁴ (0/10,000 MC nulls reach data)
  • 12100,000-bootstrap CW/CCW asymmetry: A_obs=1.5757%, 95%CI=[1.471%, 1.685%], σ_stat = 28.80σ
  • 138/8 bias hardening tests pass (flip-equivariance, rotation stability, etc.)
  • 14Shamir 2020 3% parity-violation claim not reproduced: clean 1.7% dipole excluded at >99% confidence under the adopted error model
  • 15R25conf round 2-of-2 CLEAN (93 findings audited); one substantive catch — App A field-convention description corrected from artifacts, no number changed (v1.0.170)
  • 16Pod recompute wave: unthresholded-sample injection floors A50=0.36% / A95=0.63% (the 0.57% excess sits between — honest disclosure); area-uniform axis curve P3σ=0.59 @ 0.75%; threshold sweep reproduces canonical exactly; T7 quantified by confidence (0.267 vs 0.383); training-acc semantics corrected — 93.7% = 3-class val, 94.9% = CW per-class (v1.0.171)
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