Horizons-as-Dimensional-Interface Framework: A Falsifiable Unification of General Relativity and Quantum Field Theory via Curvature–Coupled Fields

Horizons-as-Dimensional-Interface Framework (HDIF) is a theoretical physics framework proposing that spacetime curvature exhibits causal memory effects at horizon-like geometric interfaces. The framework extends general relativity by introducing non-Markovian curvature response, while explicitly recovering Einsteinian gravity in the vanishing-memory limit. HDIF treats consistency with general relativity as a requirement rather than evidence: in the limit of negligible memory strength and relaxation time, the field equations reduce exactly to standard GR, ensuring agreement with existing precision tests. Deviations from this limit provide the basis for falsifiable predictions. The framework introduces phenomenological memory kernels governing delayed curvature response and develops a linearized dispersion relation for gravitational and interferometric signals. Representative benchmark calculations illustrate the magnitude of curvature–memory effects that may arise in principle, while emphasizing that current experimental constraints have not yet been mapped exhaustively into the HDIF parameter space. HDIF also provides a physically grounded perspective on the quantum–classical transition. Measurement and outcome selection are modeled as interface-limited processes arising from finite memory resolution, rather than invoking ad hoc collapse rules, observer-dependent postulates, or hidden-variable determinism. As formulated, the framework is constructed to remain consistent with observed quantum correlations without superluminal signaling. This work is presented as a preprint and working framework. Several elements—including microscopic derivations of memory parameters and detailed experimental constraint mapping—are explicitly deferred to future investigation. The primary contribution is a coherent, falsifiable theoretical structure connecting curvature, memory, and interface dynamics across classical and quantum regimes. Version 3 (January 2026) incorporates clarified terminology, refined mathematical presentation, and an explicit treatment of interface resolution and measurement, while preserving all previously stated assumptions and falsifiable predictions.