Conformal Structure, Pre-Inflation, and a Layered Universe with Cosmic Memory

<div> <span>This paper proposes a conceptual framework for the early evolution of the universe based on three interconnected ideas: a conformal pre-inflationary phase, inflation interpreted as a dynamical boundary, and a post-inflationary layered universe carrying weak conformal memory.</span> </div> <div> <br> </div> <div> In this framework, the cosmological constant Λ represents the dominant, classical background driving cosmic expansion, while a small dynamical correction ε encodes residual conformal information inherited from the pre-inflationary regime. Inflation acts as a filtering boundary that suppresses strong quantum and geometric fluctuations while allowing weak, large-scale conformal structures to survive. </div> <div> <br> </div> <div> Inspired by Penrose’s Conformal Cyclic Cosmology and the concept of Poincaré recurrence, the model interprets cosmic memory not as particle-based information transfer, but as conformal geometric remnants propagated across cosmological phases. The resulting universe is described as layered, where each layer retains faint imprints of earlier conformal structures. </div> <div> This approach provides a unified conceptual interpretation of cosmic acceleration as a predominantly classical phenomenon governed by Λ, with a subdominant, decaying dynamical component associated with ε. The framework remains intentionally lightweight and non-technical, aiming to bridge early-universe physics, inflationary cosmology, and observational imprints such as large-scale correlations in the cosmic microwave background. </div>