Primordial Non-Gaussianity from the SV0 Quantum Bounce: A Falsifiable Signature of Discrete Spacetime

Abstract:Primordial non-Gaussianity (NG) is a powerful probe of the physics of the early universe. Standard single-field slow-roll inflation predicts a nearly perfectly Gaussian spectrum (f_NL ≈ 0.01). In this paper (Paper XXXIII of the SV0 series), we calculate the primordial non-Gaussianity generated by the Signed-Volume (SV0) non-singular quantum bounce. We show that the non-linear dynamics of the two-sector exchange law ẋ = γHx(1-x) and the rapid transition across the bounce introduce significant cubic interactions. Using the in-in formalism, we compute the bispectrum of curvature perturbations. We find that the SV0 bounce produces a characteristic local-type non-Gaussianity with an amplitude f_NL ≈ O(1) - O(10) at the bounce scale. This is orders of magnitude larger than the inflation prediction and is well within the reach of upcoming CMB experiments (e.g., CMB-S4) and large-scale structure surveys. This provides a definitive, falsifiable test of the SV0 framework.