Hypatian Cyclotomic Time Travel Through Recursive Fractal Geometry, Galois Symmetry, and Adelic Portals

This paper develops a mathematically rigorous framework for time travel grounded in cyclotomic number fields, recursive fractal spacetime geometry, and influence propagation. The Hypatian zeta function is introduced to model entropy flux across closed timelike curves (CTCs), enabling a quantitative description of retrocausal information flow. The formation and stability of time loops are analyzed via hypocycloidal embeddings of roots of unity, which serve as temporal anchors in recursive spacetime. Adelic hyperspherical portals are proposed as mechanisms for traversing between temporal states, constructed using global-local product formulas from adelic number theory. The framework yields empirical predictions, including gravitational wave echoes with frequencies determined by cyclotomic recursion, fractal anomalies in the cosmic microwave background (CMB), and possible collider-scale signatures. These results position cyclotomic and adelic structures as central to the geometry and dynamics of time, offering a new mathematical foundation for time travel and retrocausal phenomena