Holographic Origin of the Cosmological Constant in Gravity–Vacuum Energy Duality

This paper explores a possible holographic origin of the cosmological constant within the framework of gravity–vacuum energy duality. In the proposed framework, gravitational energy accumulated in extreme curvature regions, such as black hole interiors, corresponds to transitions between discrete vacuum energy levels of spacetime. These vacuum level transitions can generate rapidly expanding spacetime domains, providing a possible mechanism for universe formation. By combining this gravity–vacuum energy correspondence with the holographic entropy bound of gravitational systems, we suggest that the effective vacuum energy density of the universe may be constrained by the holographic information capacity of spacetime. This leads to a scaling relation in which the cosmological constant is inversely proportional to the square of the cosmic horizon size. Λ ∝ 1 / R² Such a relation closely matches observational estimates when R is identified with the radius of the observable universe. The framework suggests a deep connection between gravitational energy, vacuum energy transitions, and holographic information limits, potentially linking black hole physics, cosmic inflation, and the origin of dark energy. Although the present discussion is conceptual, it proposes a unified perspective in which the cosmological constant emerges from holographic constraints on vacuum energy transitions in gravitational systems.