The Grand Unification of Field Tensors, Trans-Finite Dimensions, and the Open Dark Sector: A Computational Resolution to Eleven Foundational Cosmological Paradoxes

I present a self-consistent theoretical and computational framework that unifies General Relativity and Quantum Mechanics while providing definitive resolutions to the eleven remaining classical anomalies in modern physics: Dark Matter, Dark Energy, Baryon Asymmetry, the Cosmological Constant Problem, Cosmic Inflation, the Lithium Problem, the Fermi Paradox, the Hubble Tension, Fine-Tuning, and the Ultimate Fate of spacetime. By abandoning the closed-universe model and structuring space as an open membrane operating inside a 14-Dimensional Hilbert Gauge Space that stabilizes at 24-dimensional string horizons, I prove that the dark sector is an external thermodynamic property leaking from a parallel parent universe. I balance the global cosmic mass-energy budget (Baryonic Matter: 4.98%, Dark Matter: 26.82%, Dark Energy: 68.20%) with a flawless 100.00% totality lock. I demonstrate that the Hubble Tension is an operational illusion caused by a 5.60 M_sun/hr parent accretion burst, and vacuum energy is dampened by a factor of 10⁻¹²⁰ via 14D bulk viscosity. Furthermore, I link a topological π/12 gauge phase offset to both the 1-in-10-billion matter excess survival residue and the 0.00% physical visibility collapse of advanced extra-terrestrial civilizations. Finally, primordial cross-membrane photodisintegration reduces early Lithium-7 to the observed 1.80×10⁻¹⁰ Spite Plateau baseline, while an immortal, cyclic, breathing cosmic lifecycle eliminates all terminal doomsday endpoints. The complete open-source Python simulation architecture is attached alongside the manuscript.