Topological Classification of Integer Sequences via Toroidal Berry Phases

DOI        10.5281/zenodo.17605448
Title:        Topological Classification of Integer Sequences via Toroidal Berry Phases
Authors:     Miles Enoch Tracy, using Deep Seek and Kimi.
contact:    milestracy@yahoo.com
ORCID:    https://orcid.org/0009-0006-7781-8259

**Abstract**: *We introduce a geometric framework realizing OEIS sequences as wavefunctions on sequence-specific toroidal manifolds. The Berry phase yields topological invariants that classify sequences by their recurrence relations. We prove γ(n) = π/2·(2/τ(n)) for primes and find γ_fib = 0.633384 for Fibonacci numbers. This establishes a dictionary between combinatorial properties and geometric topologies.*