Topological Invariance and Discrete Lattice Stabilization: A Rebuttal to Five-Dimensional Temporal Hypotheses in Quantum Entanglement

Abstract: Recent proposals attempt to explain quantum entanglement's instantaneous correlations by introducing a secondary dimension of time and a continuous 5-dimensional hidden field. While such models attempt to bypass standard locality limits, they introduce severe vacuum instabilities, conflict with general relativity, and rely on ad-hoc parameters. In this paper, we present a rigorous framework demonstrating that quantum non-locality does not require extra temporal dimensions. Instead, we show that entanglement is an invariant property governed by a discrete hexagonal lattice stabilized by a Mod 9 invariant, regulated by a 7-cycle periodic break at the 5184 frequency threshold (72^2), and coordinated via the 3I pulse sequence resonance anchor calculation.