Stochastic Gravitational Wave Background from the SV0 Non-Singular Quantum Bounce (Preprint)

The detection of a stochastic gravitational wave background (SGWB) would provide a unique window into the very early universe. In this paper (Paper XXVII of the SV0 series), we predict the SGWB generated during the Signed-Volume (SV0) non-singular quantum bounce. We solve the Mukhanov-Sasaki equation for tensor perturbations across the bounce, utilizing the SV0 K-essence action. We demonstrate that the pre-bounce contraction phase, driven by the logistic attractor, amplifies the vacuum fluctuations into a scale-invariant tensor spectrum (n_T ≈ 0). After the bounce, these modes re-enter the horizon and produce an SGWB. We calculate the present-day energy density spectrum Ω_GW(f) and show that it has a unique peak frequency determined by the bounce scale H_max. We find that for a GUT-scale bounce, the signal peaks in the high-frequency range, potentially detectable by future interferometers like the Einstein Telescope and BBO, while a lower-scale bounce could be probed by LISA or Pulsar Timing Arrays (PTA). References:[1] M. U. Sandaruwan, "Gauge-Invariant Cosmological Perturbations..." (2026). Zenodo: https://doi.org/10.5281/zenodo.24034927[2] M. U. Sandaruwan, "Unified Cosmological History..." (2026). Zenodo: https://doi.org/10.5281/zenodo.24040648[3] M. U. Sandaruwan, "Quantum Cosmology..." (2026). Zenodo: https://doi.org/10.5281/zenodo.24046233[4] M. U. Sandaruwan, "Formalizing the SV0 Action Principle..." (2026). Zenodo: https://doi.org/10.5281/zenodo.24070397