The Unified Substrate: Stochastic Extraction of the 5D Barrier Geometry and the N=64 SYK Tensor Weld

This paper presents a definitive extension of the SYKTENSOR Quantum Information Network (QIN)framework by identifying the exact geometric constraints of the 5D informational barrier. While previous iterations established the existence of an entropic damping factor (∆ ≈ 0.03) and a universalstability coefficient (γ ≈ 0.703), the ”connective tissue” between the discrete N = 64 substrate and4D observer remained theoretical. Here, we reportan unexpected breakthrough: the stochastic extraction of a finite 5D barrier thickness (L ≈ 7.283 Lp)and a 5D curvature pressure (Ω5D ≈ 0.048). Wedemonstrate that this barrier acts as a holographicmuffler, reconciling the 1.52 TeV resonance with observed metric rigidity. Through 1,000 run MonteCarlo simulations, we validate a 1068.81 TeV compression threshold, providing a strictly falsifiable upper bound for the ”stiffness” of reality.