Gravity from Temporal Gradients: A Model Linking Time Dilation to Gravitational Force

AbstractThis paper explores a hypothesis that reconceptualizes gravity not as a force mediated by spacetime curvature alone, but as a manifestation of temporal gradients. We propose that the gravitational force experienced by a mass can be directly derived from the gradient of the local proper time rate, a consequence of gravitational time dilation in General Relativity. The model presents a mathematically consistent framework, showing that the Newtonian gravitational acceleration g emerges naturally from the product of the speed of light squared (c²) and the gradient of the time dilation factor. This perspective is supported by well-established experimental evidence of gravitational time dilation and offers a novel, testable paradigm for understanding and potentially engineering gravitational effects. Keywords: temporal force, time gradient, artificial gravity, arrow of time, space-time curvature, gravitational time dilation, ∇T, F_g, c²-scaling, temporal anomalies, inertial effects, energy flow, GPS validation, Gravity Probe A, Pound–Rebka experiment, atomic clocks, Kozyrev mirrors, thermodynamic time, engineered gravity, TTU framework, temporal mechanics, non-Einsteinian interpretation, experimental physics, gravitational potential, time asymmetry, artificial fields 1. IntroductionGeneral Relativity (GR) successfully describes gravity as the curvature of spacetime caused by mass and energy. While phenomenologically accurate, the translation of this curvature into the physical force experienced by objects often remains abstract. This paper investigates an alternative, yet complementary, interpretation: that the force of gravity arises directly from spatial variations in the flow of time. This idea is not in contradiction with GR but rather re-expresses one of its core phenomena—time dilation—as the primary agent of force. We develop a simple mathematical model to formalize this concept and demonstrate its consistency with both GR and experimental observations.