Cyclic Cosmology with Informational Inheritance (CCHI): A Framework for Perturbative Memory Across Quantum Bounces

This paper introduces the Cyclic Cosmology with Informational Inheritance (CCHI),a theoretical framework proposing that the universe undergoes repeated cycles of expansionand contraction mediated by a quantum bounce, during which statistical information aboutthe pre-bounce matter distribution survives into subsequent cycles, encoded in the post-bounceperturbation spectrum. Built upon Loop Quantum Cosmology (LQC), the framework presentsthree original contributions: a master equation governing the cyclic evolution of the primordial power spectrum via Bogoliubov transfer coefficients, which admits a stabilized fixed pointwhose resonant peaks nucleate Primordial Black Holes (PBHs); a derivation of EntropicTime Dynamics (ETD) from the effective LQC metric, identifying the chrono-entropic coupling Γ(ρ) = 1 − ρ/ρc = geff00 with no free parameters; and a unified mechanism connectinggravitational baryogenesis, PBH dark matter in the asteroidal mass window, and the seedingof supermassive black holes observed by JWST at z > 10. The framework yields falsifiable predictions for CMB-S4, LiteBIRD, the Roman Space Telescope, and LVK O4/O5, and addressesthe cyclic entropy problem through the distinction between thermodynamic entropy (dilutedeach cycle) and entanglement entropy (transferred as low-entropy correlations).