A Symmetric Recursive Nested Universe Hypothesis: A Speculative Topological and Information-Theoretic Cosmological Framework

We propose a speculative cosmological framework in which reality is structured as an infinite, symmetric recursion of nested universes. In this model, every atom is interpreted as a structural encoding of a complete universe at a lower ontological level, while every universe can simultaneously be represented as the internal structure of an atom belonging to a higher-level universe. This framework introduces a radical departure from conventional hierarchical cosmology by removing any privileged fundamental scale. Instead, reality is described as a self-consistent infinite hierarchy of mutually embedded structures. Using tools from topology, information theory, and statistical entropy, we formalize: multi-scale structural isomorphisms between universes, information-preserving encoding functions across levels, and a strict causal decoupling principle ensuring observational independence between layers. We further introduce a Dynamic Resonance Principle, suggesting that local atomic-scale fluctuations may correspond structurally (though not causally) to cosmological-scale dynamics within embedded universes. While this framework is not intended as a physical theory and currently lacks empirical testability, it provides a coherent mathematical and philosophical exploration of infinite recursive ontology, offering a new perspective on the relationship between matter, information, and scale.