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Paper
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)
Abstract
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.
Result summary
- openfNL = -35/16 = -2.1875 under the stated background, gauge, and cubic-action assumptions
- openFour-vertex squeezed-limit derivation and committed symbolic cross-check agree
- openEq. 3 1/k² shape function fix (Wave 11) restores claim-derivation consistency
- openNormalization audit: 92% confidence via vertex-by-vertex Cai action
Figures


Candidate figures — validated analysis outputs not yet included in the draft.



Readiness
0B / 0M / 0m / 0C open
Readiness is publication readiness only — science, evidence, review convergence, packaging, and Houston’s final sign-off. Venue and submission are tracked separately below, and never subtract from this number (directive P).
Publishing
Not part of readiness.
Review evidence (184 rounds)
Automated review is a gate on publication readiness, not a product. Full review timeline →
External peer review kit
Houston-driven manual round · paste prompt into any frontier LLM web UI with the PDF attachedOne 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.
preview prompt
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).
Reproduce this
Lineage
Archived — Rescoped into P2′, the Track A A1 Letter (v2L.0.1) — 2026-09-02 portfolio decision, directive R3, ledger #1 CLOSED. P2 itself is unedited and stays listed as the archived full-length source (Zenodo DOI below); the Letter carries only the exact matter-contraction result plus the ledger-#1 closure and Cai(2009) factor-2 resolution. See the current version at paper-paper-2l