The HADS World Equation: Cosmological Emergence, Holographic Information Preservation, and the Thermodynamic Boundary Layer of Spacetime

he unification of General Relativity and Quantum Electrodynamics remains the most profound challenge in modern theoretical physics. Traditional approaches, such as string theory and loop quantum gravity, fail due to vacuum energy divergences and the information paradox. This paper presents the HADS World Equation as a formal bridge between these domains, modeling spacetime not as a fundamental stage, but as an emergent thermodynamic boundary layer. We mathematically demonstrate that the macroscopic metric tensor emerges from stochastic quantum mechanics when coherent light energy acts as a mediator on α-stable vacuum fluctuations. By applying the principle of asymptotic variance conjugation and the holographic principle, we formulate a theoretical solution for information preservation: information is not destroyed, but rather holographically encoded into the topological spacetime structure (braiding) and preserved through asymptotic phase conjugation in the adiabatic regime.