The concept of time dilation is a fundamental prediction of Einstein's theory of relativity, both special and general. It has been extensively tested and confirmed through numerous experiments and observations. Time dilation refers to the phenomenon where time appears to pass differently for objects in relative motion or in the presence of strong gravitational fields.
While it is true that alternative theories of gravity have been proposed that aim to reconcile general relativity with quantum mechanics, it is important to note that any such theory would still need to account for the observed phenomena of time dilation. Time dilation has been experimentally verified in various ways, including the famous Hafele-Keating experiment involving atomic clocks on airplanes and the Pound-Rebka experiment measuring the shift in photon frequencies due to gravity.
The Schwarzschild and Lorentz equations are mathematical expressions derived from general relativity and special relativity, respectively. They provide a mathematical framework that describes the behavior of spacetime in the presence of gravity and the effects of relative motion. These equations have been extensively tested and validated, providing accurate predictions in a wide range of scenarios.
While it is valid to explore alternative theories and seek a deeper understanding of gravity that incorporates quantum mechanics, any such theory would need to explain and account for the observed phenomena, including time dilation. Time dilation is a well-established empirical fact that has been confirmed by a wealth of experimental evidence, and any theory aiming to replace or modify the current understanding of gravity would need to explain these observations as well.
In summary, while scientific progress involves exploring and testing alternative theories, any new theory or framework must be consistent with the well-established experimental evidence, including the phenomenon of time dilation. The Schwarzschild and Lorentz equations, which are derived from Einstein's theories of relativity, have been highly successful in describing and predicting a wide range of phenomena and have stood up to rigorous experimental testing.