Information wells and the emergence of primordial black holes in a cyclic quantum universe

Abstract Primordial black holes (PBHs) remain one of the most intriguing candidates for dark matter and a unique probe of physics at extreme curvatures. Here, we examine their formation in a bounce cosmology when the post-crunch universe inherits a highly inhomogeneous distribution of imprint entropy from the Quantum Memory Matrix (QMM). Within QMM, every Planck-scale cell stores quantum information about infalling matter; the surviving entropy field S ( x ) contributes an effective dust component T (QMM) μν = λ[(∇ μ S )(∇ ν S )-1/2 g μν (∇ S ) 2 +…] that deepens curvature wherever S is large. We show that (i) reasonable bounce temperatures and a QMM coupling λ ∼ 𝒪(1) naturally amplify these “information wells” until the density contrast exceeds the critical value δ c ≃ 0.3; (ii) the resulting PBH mass spectrum spans 10 -16 M ⊙ –10 3 M ⊙ , matching current microlensing and PTA windows; and (iii) the same mechanism links PBH abundance to earlier QMM explanations of dark matter and the cosmic matter-antimatter imbalance. Observable signatures include a mild blue tilt in small-scale power, characteristic μ -distortions, and an enhanced integrated Sachs-Wolfe signal — all of which will be tested by upcoming CMB, PTA, and lensing surveys.