Revolutionizing Galactic Dynamics: The Time Dilation Gradient Model's Application to M87 and Pulsars

The concept of dark matter has long been a cornerstone in explaining gravitational anomalies in galaxies and clusters of galaxies. Despite its widespread acceptance, dark matter remains elusive as it has not been directly detected and its nature is still unknown. In this paper, we introduce the Time Dilation Gradient (TDG) model as an alternative framework for understanding these gravitational anomalies. The TDG model leverages time dilation effects from both General Relativity (GR) and Special Relativity (SR) to account for the observed gravitational influences traditionally attributed to dark matter. By conceptualizing space-time as a fluid rather than a fabric, the TDG model enhances gravitational effects through time dilation gradients, providing a novel perspective on galactic dynamics. We apply this model to pulsar data and the galaxy M87, demonstrating its robustness and potential as a superior alternative to existing dark matter models.