The Relational Spacetime Transition Window

.Can a system exert gravity without possessing rest mass? When a particle shifts into pure wave energy, standard interpretations imply an instantaneous, non-physical "snap" in spacetime curvature. This paper introduces an elegant mathematical framework to solve this gravitational continuity paradox. By modeling gravity as a continuous function of a spatial wave expansion index (omega), it demonstrates how compressed wave energy acts as a temporary gravitational reservoir.Furthermore, by factoring in the speed of light and cosmic background interactions, this model proves that a wave can never fully dilute (omega = 1), leaving a permanent, non-zero residual minimum gravitational signature in spacetime. Read the full preprint to see how shifting gravity from static mass to spatial wave evolution completely eliminates discontinuities between quantum mechanics and general relativity.