Gravitational Entropic Boundary Theory and the Principle of General Continuity

Gravity can be interpreted as a thermodynamic phenomenon emerging from an equilibrium between entropy diffusion and spacetime curvature. The Gravitational Entropic Boundary Theory (GEBT) formalizes this view by defining gravity as gravimetric pressure—a restoring field that resists entropic expansion and preserves structural persistence. Within this boundary-field framework, spacetime acts as an energetic membrane in which curvature and entropy continuously exchange through dynamic feedback. Building on this, the Principle of General Continuity (GC) introduces a universal invariant, ∇μ J μ = 0, that unites the conservation of energy, curvature, and entropy into a single continuity law. Together, GEBT and GC predict oscillatory curvature–entropy interactions that manifest as cyclical cosmological renewal and yield field terms resembling MDMT Dark Matter, a residual interference pressure identified in companion analyses. Distinct from manifold-based thermodynamic geometries, this theory treats entropy as a boundary agent rather than the substrate of space itself, providing a physically testable, cyclic, and pressure-driven model of gravitation. Copyright (C) 2025 Shelton R Rusie