Primordial Black Holes from the SV0 Non-Singular Quantum Bounce: A New Dark Matter Candidate

Abstract:Primordial Black Holes (PBHs) are compelling candidates for dark matter and provide a unique probe of the early universe. In this paper (Paper XXVIII of the SV0 series), we demonstrate that the Signed-Volume (SV0) non-singular quantum bounce naturally generates an enhanced spectrum of scalar perturbations, leading to the formation of PBHs. During the pre-bounce contracting phase, the SV0 attractor drives the equation of state to w ≈ -1, producing a nearly scale-invariant spectrum. However, the rapid transition at the bounce introduces a characteristic resonance in the transfer function, amplifying perturbations at specific scales. Using the Press-Schechter formalism, we calculate the PBH mass function and abundance. We show that the SV0 bounce can produce PBHs in the asteroid-mass range (10⁻¹⁵ to 10⁻¹² M_⊙), which could account for a significant fraction of the dark matter, complementing the Universal Information Field (UIF) component. This provides a new, falsifiable prediction for future microlensing and gravitational wave observations.