Geometric Unification of Gravitational Directionality and Nonlocal Correlations in the Hierarchical Interface Universe Model —A Higher-Dimensional Reinterpretation of General Relativity and Quantum Correlations—

This work presents the Hierarchical Interface Universe Model, a geometric framework in which the observable universe is interpreted as an interface embedded in a higher-dimensional structure. Within this framework, two phenomena traditionally treated as conceptually distinct— gravitational directionality in general relativity and nonlocal quantum correlations (EPR correlations)— are reorganized as different projections of a common higher-dimensional geometric structure. Gravity, which appears in three-dimensional observations as a force acting independently for each celestial body, is interpreted here as the projection of a unified tension component along the interface-normal direction (the g-axis), directed toward a common higher-dimensional center. Quantum entanglement and EPR correlations, rather than being described as direct nonlocal interactions between spatially separated particles, are interpreted as projections of shared higher-dimensional mode structures onto separated points on the interface. Importantly, this work does not modify or reject the formal structure of general relativity or quantum mechanics. All standard equations, predictions, and empirical successes of existing theories are preserved. The contribution of this study lies in a structural and geometric reinterpretation, not in the introduction of new particles, forces, or dynamical laws. Explicit falsifiability conditions are formulated, clarifying the observational and experimental circumstances under which the proposed framework would become unnecessary or invalid. In this sense, the model is intended as a minimal, non-ad-hoc organizational framework that remains fully subject to empirical rejection. This repository contains the full manuscript, including conceptual explanations, mathematical formulation, appendices addressing interpretational scope, and references to established literature. The work is presented as a completed theoretical framework defining the structural interpretation of gravity and quantum correlations, with detailed dynamical modeling and observational tests left for future studies.