Operator-Based Collapse of Infinite Kaluza-Klein Towers: Geometric Unification, Field Profiling, and Renormalization

Author(s)	Mr. Thomas Christian Weissflog
Country	Canada
Abstract	We present a comprehensive, unified mathematical and numerical framework modeling the explicit structural coupling between a two-dimensional vacuum boundary (∂M_2) and a four-dimensional gravitational bulk center (M_4) inside a total five-dimensional spacetime description. By structuring the 5D Kaluza-Klein metric via an operator-based truncation of infinite tower states, we isolate the exact coordinate mechanics driving subatomic mass variances without encountering infinite ultraviolet divergence loops. We expand upon prior asymptotic safety formulations by deriving all local higher-dimensional Christoffel connections, outlining explicit boundary matching tensors, and verifying the non-trivial ultraviolet renormalization group fixed point via runtime simulations.
Keywords	String Theory, Math
Field	Physics
Published In	Volume 17, Issue 2, April-June 2026
Published On	2026-06-09

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