A Possible Emergence of Quantum Entanglement from Gravitationally Defined Local Energy Structure

We propose a theoretical framework in which gravity may define a local energy structurethat influences the emergence of quantum behavior and entanglement. Within this framework,entanglement is not assumed to be a universal property, but may instead depend on local spacetime conditions. The model introduces a curvature-dependent entanglement energy density, acharacteristic energy scale, and a threshold quantity, which are combined into a dimensionlessparameter Λ governing the conditions for entanglement. The parameter Λ encodes the interplay between the system’s characteristic energy, an effective dynamical scale, and spacetimecurvature. When Λ ≥ 1, entanglement may arise, whereas for Λ < 1, the system is expected toremain in a classical or weakly correlated regime. The framework leads to a possible gravitational scaling relation for entanglement, suggesting a dependence on mass and distance in curvedspacetime. If experimentally realized, this could constitute a testable deviation from standardquantum theory in curved spacetime. Although the present formulation is heuristic, it offersa consistent conceptual structure and suggests a possible reinterpretation of the relationshipbetween gravity and quantum correlations.