SDRIS: The Geometric Origin of Non-Locality - Deriving Quantum Entanglement from the Topological Folding of the Recursive Time-Slice

Paper 101 of the SDRIS Research Series Building upon the geometric derivation of forces (Paper 100), this work addresses the ontological mechanism of quantum non-locality. Abstract: The phenomenon of quantum entanglement challenges the principle of local realism, suggesting instantaneous information transfer across spacelike intervals. This paper proposes a geometric resolution within the Static-Dynamic Recursive Information Space (SDRIS) framework. We demonstrate that entanglement is not a dynamic transmission of signals through 3D-space ($v > c$), but a static topological identity in the embedding 5D-manifold ($\Delta x_{5D} = 0$). By modeling the 3D-universe as a lower-dimensional projection of a recursive information flux, we derive the quantum correlation function $|\psi\rangle$ as a deterministic consequence of a "Recursive EPR Bridge". We show that the "collapse" of the wavefunction is a global update of the pre-metric information source, occurring in recursive processing time ($\tau$) rather than metric time ($t$). This reinterpretation validates Bell's inequality violations while preserving causality, ultimately proving that spatial separation is an emergent artifact of dimensional reduction. Includes Computational Verification: This publication includes a Python simulation framework (SDRIS_Entanglement_Simulation_Code_v1.0.ipynb) that visualizes the 5D-topology and numerically validates the violation of Bell's inequalities against the geometric SDRIS prediction.