Multigenerational Aeon Evolution within the RZS Framework: Informational Persistence and Asymptotic Relational Stabilization

This paper extends the Relational Zero State (RZS) hypothesis by proposing a multigenerational model of cosmological evolution across successive aeons. In contrast to standard Conformal Cyclic Cosmology (CCC) formulations that impose a strict “clean slate” condition at conformal boundaries, we introduce a mechanism of Informational Persistence. In this model, relational structures are not entirely erased but carried forward as effective priors. Within this framework, the vacuum is treated not as a passive background but as an active relational substrate capable of encoding residual informational structure. Cosmological evolution is modeled as a gradient-flow-like process acting on a relational complexity parameter (σ), through which successive aeons undergo iterative refinement. Rather than converging toward a final state in a teleological sense, the dynamics asymptotically approach a regime of maximal relational coherence, characterized by increased stability of large-scale causal structure. The framework offers a conceptual extension to cyclic and conformal cosmologies by relaxing the assumption of total informational erasure at aeon boundaries.