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Probing the Bounce Energy Scale in Bouncing Cosmologies with Pulsar Timing Arrays

2025/04/27 by Junrong Lai, Lai, Junrong, Changhong Li +1 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #Noncommutative and Quantum Gravity Theories #Pulsars and Gravitational Waves Research

paper · pdf · doi:10.48550/arxiv.2504.19251

openalex publication_date 2025/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we constrain the bounce energy scale ρs\downarrow1/4 in a generic framework of bouncing cosmologies using the nanohertz stochastic gravitational-wave background recently detected by pulsar timing arrays (NANOGrav 15-yr, EPTA DR2, PPTA DR3, IPTA DR2). A full Bayesian fit of the analytic SGWB spectrum for this bounce scenario reveals, for the first time, two distinct posterior branches in (ρs\downarrow1/4,w1): one near w1≈0.3 and one at w1≫1, where w1 is the contraction phase equation of state. We find that the bouncing model attains larger Bayes factors against each of six conventional SGWB sources (SMBHBs, inflationary GWs, cosmic strings, domain walls, first order phase transitions, scalar induced GWs), demonstrating strong preference of current PTA data for the bounce hypothesis. Compared to the more generic dual inflation bounce scenario, the concrete bounce realization yields smaller Bayes factors, indicating that PTA measurements impose tighter constraints when the bounce scale is explicit. Moreover, the two posterior branches illuminate distinct theoretical frontiers. The right branch (w1≫1) violates the dominant energy condition (DEC), thereby providing direct empirical impetus for models with novel early Universe physics, e.g. ghost condensates, higher-derivative or modified gravity operators, and extra dimensional effects. Independently, both branches infer ρs\downarrow1/4 above the Planck scale Mpl, demonstrating that current PTAs already probe trans-Planckian regimes. Together, these findings offer a rare observational window into UV completions of cosmology. We further describe how normalizing flow based machine learning can accelerate such Bayesian analyses as PTA data volumes increase.

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