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Paper

Multi-channel tests of the matter-bounce prediction fNL = −35/16 and a joint (r, fNL) no-go for single-field matter bounces

A joint tensor-and-non-Gaussianity no-go for single-field matter bounces, with a viable curvaton route

version v3M.0.24date 2026-09-07pages 19md5 b29ebb90be09target PRD (regular article)
Derivation · N2Derivation · N2Null result · N2
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Abstract

Track A's flagship line (2026-09-02 portfolio decision): the A3 skeleton (research/track_a3_multichannel/) folds in the P2′ v2L.0.2 exact-amplitude theory per PAPER_LINEAGE_2026-08-05.md's 2026-09-02 decision record, so the exact matter-contraction derivation and its multi-channel observational consistency checks live in one submission-track manuscript rather than split across a Letter and a research brief. v3M.0.5: R2 CLOSED (real 30-bin injection-recovery validation, Eq. (8) sigma^2 term, Omega_DM label fix, precision/label fixes, five carried R1 minors); per directive R2, rounds STOP — residue is genre/length/venue.

Result summary

  • openfNL = −35/16 = −2.1875 for the stated matter-dominated-contraction background and cubic action (c_s→1 limit), folded in from P2′ v2L.0.2
  • openLedger #1 CLOSED: independent from-scratch in-in re-derivation reproduces −35/16 by a second method; Cai et al. (2009)'s −35/8 located as a uniform factor-2 discrepancy, not a competing derivation
  • nullNew Sec. VII/VIII (D-A3-10/11): r=16ε=24 exactly, ~670× above BICEP/Keck r<0.036; joint (r, fNL) no-go excludes single-field matter bounces jointly on r and fNL (windows disjoint 296× in c_s, strengthening Li et al. 2016's own no-go 3.8×); curvaton-type spectator route is the surviving (r, n_s)-viable path
  • openNANOGrav 15-yr free-spectrum MCMC: γ = 2.57 ± 0.38 vs. the matter-bounce prediction 3, Savage–Dickey B ≈ 3.2 for matter bounce over free spectrum

Readiness

75%

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.

target venue PRD (regular article)state active

Reproduce this

A3-1b - the lab's own matter-bounce curvature power spectrum Delta^2_zeta(k) at PBH scales: delivered vs required amplitude in the compaction-function PBH criterion, and the COBE/FIRAS mu-distortion check on the early-SMBH seed amplitudecpu-only; Apple M-series MacBook Air, macOS 25.5.0 arm64 · est. ~3 min · $0.00runnable-now
A3-3 - scalar-induced gravitational waves in the NANOGrav band from the lab's own curvature power spectrum: does the CMB-anchored matter-bounce spectrum give the paper's Channel-I gamma = 3?cpu-only; Apple M-series MacBook Air, macOS 25.5.0 arm64 · est. ~5 s · $0.00runnable-now
Ledger row 10 (A3-4 + A3-ns) - the matter bounce's OWN tensor-to-scalar ratio r and scalar tilt n_s, derived for the dust contraction and propagated through all three A2 bounce backgroundscpu-only; Apple M-series MacBook Air, macOS 25.5.0 arm64 · est. ~3 s · $0.00runnable-now
Track A3 channel 2 — Press-Schechter PBH abundance with local quadratic non-Gaussianity at f_NL = -35/16 vs -35/8 vs 0cpu-only; Apple M5, 24 GB RAM, macOS 26.5 arm64 · est. 0.03 s (measured) · $0.00runnable-now
Track A3 item A3-1 — compaction-function PBH abundance with local non-Gaussianity at f_NL = -35/16 vs -35/8 vs 0 (Choudhury et al. 2025 formalism)cpu-only; Apple M5, 24 GB RAM, macOS 26.5 arm64 · est. ~4 min · $0.00runnable-now
Track A3 channel 1 — reproduction of the NANOGrav 15-yr free-spectrum gamma posterior and Savage-Dickey Bayes factors from the committed chaincpu-only; Apple M5, 24 GB RAM, macOS 26.5 arm64 · est. 0.02 s (measured) · $0.00runnable-now

Full reproduction manifests →

Lineage

Track A · A3 Multi-Channel Consistency (flagship submission candidate). This work does not claim beyond its stated target and scope above.