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

AbstractThis 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.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.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.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.