Surface Bound Maximum version 4.5

This paper proposes a concrete, falsifiable modification to general relativity’s prediction of gravitational time dilation inside planetary bodies.While standard GR predicts that time runs slowest at a planet’s center, the Surface-Bound Maximum (SBM) hypothesis asserts the opposite: the minimum clock rate occurs at the surface, with clocks running faster both above and below it. A decisive experimental test is outlined: comparing co-located optical lattice clocks at surface and subsurface depths of 100–1000 m using stabilized fiber links. The predicted fractional frequency shift is of order –, well within current optical-clock precision. To date, no gravitational time-dilation measurements have ever been conducted below sea level or inside a deep underground environment, making this experiment an unexplored frontier of relativistic metrology. This version formalizes the mechanism, presents a quantitative table of Earth-based predictions, and discusses consistency with energy conditions and environmental systematics. It represents the definitive formulation of the Surface-Bound Maximum hypothesis and its testable implications for the physics of time under gravity.