Hyper-Toroidal Cosmic Topology and Cross-Membrane Thermal Shortcuts: A Non-Inflationary Resolution to the Horizon and Flatness Problems

I present the fifth foundational treatise of our open-cosmology framework, establishing the exact global shape of the cosmos and providing a self-consistent, non-inflationary resolution to the twin pillars of standard cosmological tension: the Flatness Problem and the Grand Horizon Problem. Rather than invoking an unobserved, hyper-fine-tuned inflaton scalar field potential to stretch the early universe, we mathematically derive the global cosmos as a closed, finite, edge-free 14-Dimensional Clifford Hyper-Torus. We prove that our visible 4D spacetime universe behaves as a completely flat holographic boundary membrane wrapped tightly around this hyper-toroidal manifold, forcing the localized observational curvature parameter to a flat Omega_k = 0.0000 node precisely at Axis 08 (Bhu Loka) under a phase-locked delta = pi/12 gauge rotation. Furthermore, we dissolve the Horizon Paradox, demonstrating that the extreme thermal uniformity documented across opposite horizons of the Cosmic Microwave Background (CMB) is not a relic of early superluminal expansion, but an ongoing manifestation of cross-membrane bulk shortcuts. Regions separated by 93 billion light-years along our restricted low-dimensional membrane path are shown to remain in direct physical contact across the localized thickness of the 14D bulk mesh, enabling continuous thermal information exchange with zero signaling latency. The complete open-source Python simulation architecture is attached alongside the manuscript.