Modular Theta Topology: A Unified Framework for Dark Matter and Cyclic Cosmology

We emphasize that this work only verifies the mathematical self-consistency and theoretical plausibility of the proposed framework, without making empirical claims or asserting its direct correspondence to physical reality. All derivations are grounded in the intrinsic analytic and modular properties of Ramanujan's mock theta functions, with no ad hoc parameter fitting or fine-tuning. This framework is presented as a theoretical exploration of unifying gravity, quantum information, and cosmic evolution via number theory, rather than a confirmed physical model.