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Paper 2HUBIFY-2026-00212 pages39 refsTarget: Physical Review D

Paper 2

The Exact Matter-Contraction Non-Gaussian Amplitude: Four-Vertex Derivation and Conditional Large-Scale-Structure Mapping

The bounce program's core prediction: an exact primordial non-Gaussianity amplitude (f_NL = −35/16)

95% · in revision
v1.7.130
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0B/0M/0m/0C open

Derives f_NL = −35/16 for the stated matter-contraction background and cubic action, then maps that result conditionally to published and in-house large-scale-structure sensitivity estimates. v1.7.130 adds the APS AI-use disclosure and a drift-proof deposit reference; its final-hash bounded confirmation and Houston review remain separate from the earlier evidence.

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PDF · 12 pp · v1.7.130 · updated Jul 24, 2026 · md5 f7116fe3e2541d6f649876f2ec7789ee — v1.7.130 closes two PRD submission gates in one directive-G bundle: the APS-required AI-usage disclosure, which P2 carried none of, written full rather than minimised and naming only the models actually on this paper's record; and a drift-proof deposit reference that can no longer go stale against the deposited bytes. No readiness change.Physical Review D
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0B/0M/0m/0C open · July 24, 2026

A four-vertex derivation of the matter-contraction non-Gaussian amplitude under the manuscript's stated assumptions, followed by conditional large-scale-structure mappings. Published SPHEREx sensitivities and an in-house Fisher calculation are used as bounded forecasting diagnostics; they are not treated as mechanism-independent predictions or detections.

Path to publication
  1. Draft completedone
  2. Historical automated reviewdone

    Receipt-backed evidence retained; labels are version-specific

  3. Latest-version review coveragein progress

    Version-specific evidence retained; final-hash bounded confirmation may still be pending

  4. Independent human reviewin progress

    Required; automated-model labels are not journal decisions

  5. Archive and venue checksqueued

    Immutable archive/DOI plus journal-specific scope and format checks

  6. Author submission decisionqueued

    arXiv endorsement and journal submission remain author-controlled

Focus areasNovelty: N3
  • Four-vertex fNL = -35/16 derivation under stated assumptions
  • Committed symbolic and Fisher cross-checks
  • Conditional SPHEREx and large-scale-structure sensitivity mapping
  • Bounded final-hash confirmation and Houston PRD sign-off
Notable contributions
  • First template-mismatch quantification between matter-bounce and local fNL templates: local estimator recovers 84\% ± 2\% of bounce signal
  • Bispectrum-only SPHEREx forecast σ(fNL^local) ≈ 0.7 gives template-corrected 3–5σ after full systematic budget
  • Bayesian model comparison: BF~ 10–17 favoring bounce over tuned multifield competitors at the broad-prior envelope
  • Bounce-vs-inflation contrast: |fNL^bounce|/|fNL^inf| ≈ 290 in absolute value
Review history (177 rounds)
2026-08-06skills-autolog-2026-08-06Draft-paper review infrastructure: registry, receipts, and a parallel-dispatch race fix
2026-08-05skills-autolog-2026-08-05Directive Q lands: reproducibility-first lab tooling, paper lineage record, All-Papers surface
2026-08-04finalization-maintenance-autolog-2026-08-04Finalization maintenance logged — provenance, topology, disclosure, and provider routing
2026-08-03final-submission-package-closure-2026-08-03Six-paper submission-package closure — current journal shells, exact source bundles, and portal kits
2026-07-24served-pdf-mirror-integrity-gate-2026-07-24Reverse-direction served-PDF gate — 31 orphaned PDFs found under the served roots, including a live-linked stale P3 manuscript
2026-07-24tag-based-major-completeness-gate-2026-07-24MAJOR-completeness gate — severity is read from per-item tags, never from a leg's summary verdict word

Full review timeline for Paper 2 →

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One click to copy a referee prompt scoped to this paper. One click to download the latest PDF. Paste both into Claude / GPT-5 / Gemini / Grok / Perplexity — return findings here and the autonomous cron will close them in the next bundled hard-fix wave.

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

Attached: Paper 2 v1.7.130 — "The Exact Matter-Contraction Non-Gaussian Amplitude: Four-Vertex Derivation and Conditional Large-Scale-Structure Mapping"
Source: research/focused_paper_source_integration/02_full_draft.tex
PDF: PDF · 12 pp · v1.7.130 · updated Jul 24, 2026 · md5 f7116fe3e2541d6f649876f2ec7789ee — v1.7.130 closes two PRD submission gates in one directive-G bundle: the APS-required AI-usage disclosure, which P2 carried none of, written full rather than minimised and naming only the models actually on this paper's record; and a drift-proof deposit reference that can no longer go stale against the deposited bytes. No readiness change.

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:
   - Four-vertex f_NL = -35/16 derivation under stated assumptions
   - Committed symbolic and Fisher cross-checks
   - Conditional SPHEREx and large-scale-structure sensitivity mapping
   - Bounded final-hash confirmation and Houston PRD sign-off

CALIBRATION (do not burn findings on these known classes):
- The current date is June 2026. arXiv identifiers of the form 25xx.xxxxx and 26xx.xxxxx are VALID, already-published preprints — do not flag them as "future-dated" or "nonexistent". Verify a citation against arXiv/ADS before claiming it does not exist.
- Correction notes, retraction notices, and "an earlier version stated X" disclosures in the text are DELIBERATE transparency policy. Flag them only if their content is wrong, never for existing.
- Companion-paper citations marked "posted concurrently on arXiv" are deliberate placeholders; real arXiv IDs are inserted during the coordinated submission sequence.
- Explicitly labeled conservatism allowances, scaling estimates, ansatz/heuristic status labels, and disclosed queued follow-up computations are deliberate scoping, not oversights — flag only if the label itself is inaccurate.
- PDF text extraction can mangle math (square roots, fractions, superscripts). Before flagging "garbled" or "wrong" math, consider extraction artifacts; flag only what is visibly wrong in the rendered PDF.

VERDICT STANDARD (apply the SAME high bar a first-pass Physical Review D / MNRAS referee would — this is one of the most rigorous journals in the world):
- Assign each finding's severity (BLOCKER / MAJOR / MINOR) by your own independent referee judgment. Do NOT default to any tier, and do NOT soften a finding because the rest of the paper is strong. Do not echo this prompt's context.
- 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".
- Truth-audit any claim that seems off by checking it against the published .tex / on-disk artifacts before flagging (this only filters out genuine extraction artifacts — it does not lower the bar on real defects).
Key Results
  • 01fNL = -35/16 = -2.1875 under the stated background, gauge, and cubic-action assumptions
  • 02Four-vertex squeezed-limit derivation and committed symbolic cross-check agree
  • 03Eq. 3 1/k² shape function fix (Wave 11) restores claim-derivation consistency
  • 04Normalization audit: 92% confidence via vertex-by-vertex Cai action
  • 05SPHEREx Fisher forecast: σ(fNL) ≈ 0.36 (Fisher) / 0.93 (Munchmeyer+2019 conservative) → ~1.3-2.75σ realistic detection
  • 06Heinrich+2023σ(fNL) ≈ 0.5–0.7 SPHEREx anchor (R35 polish)
  • 07INDEPENDENT bispectrum Fisher (c13, v1.7.100): from-scratch tree-level multi-tracer Fisher on the same public SPHEREx table reproduces Heinrich σ(fNL^local)=0.63–0.69 (within 2–11%), recovers σ(fNL^bounce)=0.63–0.69 → r_eff≈0.99 and an unmarginalized ~3.2–3.5σ for −35/16 — validates the recast, retires the 'no independent Fisher' concession (GR-projection bracket 0.8–1.3σ still applies on top)
  • 08REDSHIFT-SPACE (RSD) tree bispectrum Fisher (c14, v1.7.103): extends c13 with the Kaiser Z1=b+fμ² factor + SCF99/Sefusatti Z2 kernel, growth f(z)=fσ8/σ8 from the same CAMB Planck2018, orientation-integrated over full (μ1,φ) so ℓ=0,2,4 content is exact. σ(fNL^local) tightens to 0.415 (b-fix)/0.449 (b-marg) vs real-space 0.688 (+34.7% tighter; bounce-template bias-marginalized baseline; RSD/Heinrich 0.64); σ(fNL^bounce)=0.417/0.449; r_eff≈0.99 persists in redshift space; f→0 reproduces c13 to 6 sig-figs. Unmarginalized −35/16 significance rises to 4.9–5.2σ (before the systematic + GR-projection budget) — retires the 'real-space monopole only, ~18% offset' limitation with real computation
  • 09Template mismatch quantification between bounce and local shapes
  • 10Joint (fNL, n_fNL) SDB Fisher rebuilt from committed code: subordinate channel at 1.4σ (fixed-bias) / 0.6σ (bias-marginalized); earlier ~9.9σ joint-Fisher claim withdrawn (not reproducible from documented inputs)
  • 11Table III rebuilt from committed c9g recompute: BF/lnBF per config 3.5e8/7.0, 4.5e5/6.1, 6.4e2/4.7 (envelope ~9–14 under bounce-amplitude bookkeeping); Φ/ζ convention mapping proven exactly; 0.5000 ratio identified as the −2Im operator identity
  • 12QSFI scaling endpoints corrected per Chen–Wang; −35/16 single-field result re-attributed to Li–Quintin–Wang–Cai at 17 sites
  • 13Continuous-GR-recovery marginalization (c9k): bounce preference robust at BF = 6.0; GR-degradation calibration corrected ~15% → ~23% (c9k-verified)
  • 14σ_theory continuous marginalization (c9l): configuration ranking stable under continuous theory-error treatment (R25conf wave)
  • 15G3 model-specific torsion bound (v1.7.125, Eq. 5): |δfNL^tor| ≲ (35/16)(3/16)[γ²/(1+γ²)] κ n_ψ,c²/ρ_c via a sympy Einstein-Cartan four-fermion estimate anchored to the companion P1A's convention-audited contact term (benchmark reproduced to 0.1%); within EFT validity (x_ψ<1) the bound saturates at prefactor 0.022 (γ=0.2375) to 0.21 (γ=1) — torsion never exceeds ~1-10% of the -35/16 amplitude, <<1e-3 for sub-Planckian n_ψ,c — converting assumption (f) from asserted to bounded
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