Velocity as a Geometric Deformation State: Complete Demonstration Within the Spatial Absolute Reference Frame

This article presents a complete mathematical demonstration establishing that velocity corresponds to a geometric deformation state of fundamental wave structures. Within a paradigm where Space itself constitutes the absolute reference frame and matter consists of confined wave excitations, we rigorously derive why relativistic equations emerge naturally as mathematical tools for describing relative velocities, while maintaining the existence of a fundamental reference frame. The proof relies on explicit analysis of moving solutions to the Klein-Gordon and Schrödinger equations.