The Physical Nature of Centrifugal Force and a Critical Refutation of Velocity-Induced Time Dilation in Curvilinear Trajectories

This paper evaluates the foundational ontology of time dilation in curvilinear trajectories, critically exposing a fundamental misinterpretation in standard orbital relativistic mechanics. Within the conventional application of the Schwarzschild metric, the temporal latency of an orbiting satellite is standardly separated into gravitational potential dilation and a kinematic component. We demonstrate that institutional physics artificially decomposes the system's intrinsic angular parameters to yield a linear velocity term v^2/c^2, thereby misattributing orbital time dilation to Special Relativistic kinematics. By maintaining the integrity of the angular velocity omega derived directly from the spatial geometry of the curved path, we prove that pure linear velocity induces zero autonomous time dilation. Consequently, this paper demonstrates that time dilation in curved trajectories is driven entirely by absolute angular motion and continuous directional acceleration against the static background field. This effectively eliminates the necessity of Special Relativistic kinematics in orbital systems without requiring any structural modifications to the classical stress-energy tensor.