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[(∇μS)(∇νS)-1/2gμν(∇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 δc ≃ 0.3; (ii) the resulting PBH mass spectrum spans 10-16M⊙–103M⊙, 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.