FCU–001 The Finite Cyclical Universe Hypothesis – A Relational, Informational, and Finite-Capacity Model of Emergent Spacetime, Critical Dynamics, and Cyclical Processes

The Finite Cyclical Universe Hypothesis proposes a relational informational model of reality in which the universe is understood as a finite-capacity informational sphere. Within this framework, existence is constituted not by independent substances but by relational configurations among finite nodes. Cosmic dynamics arise from cyclic phases of differentiation, variance redistribution, and near-homogenization, with no persistent memory between cycles. Time is interpreted as an emergent measure of relational reconfiguration, while spacetime geometry appears as a regime-specific stabilization of relational dynamics. A fundamental asymmetry—conceptually analogous to yin–yang balance—drives structure formation, instability, and the emergence of complexity across scales. By integrating thermodynamics, non-equilibrium dynamics, and information topology, the framework suggests that the emergence of life, intelligence, and organized complexity is a natural consequence of constrained relational systems. Within this view, phenomena such as carbon chemistry, LUCA, and cognitive systems arise as expected outcomes of variance dynamics operating within a finite informational cosmos.