Finite Energy-Density as a Potential Regulating Principle of Spacetime Curvature

This work introduces a foundational hypothesis for gravitational physics: spacetime possesses a finite capacity to support local energy density, effectively attenuating gravitational response as this capacity is approached. Unlike traditional approaches that rely on quantizing geometry, this principle treats spacetime as a finite-compressible medium in a covariant sense, enforcing a maximum entropy density without exotic matter or violations of Lorentz invariance. By relaxing the assumption of unbounded energy density in classical general relativity, the framework conceptually resolves curvature singularities, aligns with holographic entropy bounds, and eliminates the information-blocking role of singularities. Implications include: Black holes: Singularities are replaced by finite-density cores, preserving horizon thermodynamics and unitarity. Cosmology: Early-universe dynamics may exhibit accelerated expansion without invoking inflaton fields, while remaining consistent with ΛCDM at observable scales. Quantum gravity: Finite compressibility emerges as a necessary constraint on any ultraviolet completion of gravity. This proposal offers a thermodynamic interpretation of spacetime and a possible pathway to reconcile gravitational dynamics with information theory.