Geometry of Time: A Unified Model of Gravitation, Refraction, and Inertia

We propose a novel framework in which temporal gradients — spatial variations in the local rate of time — serve as the underlying cause of gravitational acceleration, optical refraction, and inertial resistance. By extending the concept of gravitational time dilation, we derive relationships linking acceleration, velocity, and light bending directly to the geometry of time. This approach recasts familiar forces as consequences of differential temporal flow rather than spatial curvature, offering an alternative interpretation to General Relativity. Through a series of derived equations, we demonstrate how matter and light follow diverging paths governed by time gradients, and propose experimentally testable distinctions between this model and traditional relativistic predictions. The implications suggest a new unified field perspective grounded in the structure of time itself.