Yes, time dilation has been experimentally confirmed and verified through a variety of experiments and observations. It is considered one of the most well-established predictions of Einstein's theory of relativity. Here are a few examples of experiments that have demonstrated time dilation:
Hafele-Keating Experiment (1971): This experiment involved atomic clocks placed aboard commercial airliners that circled the Earth in opposite directions. The experiment confirmed the time dilation predicted by relativity theory due to the difference in relative velocities between the moving clocks and a stationary reference frame on the Earth's surface.
GPS Satellites: Global Positioning System (GPS) satellites in orbit around the Earth make use of highly accurate atomic clocks. These clocks experience a time dilation effect due to the combination of their orbital velocity and the weaker gravitational field at their altitude. The corrections for these time differences are crucial for accurate GPS positioning calculations.
Particle Accelerators: High-energy particle accelerators, such as the Large Hadron Collider (LHC), provide evidence for time dilation. The particles in these accelerators reach velocities close to the speed of light, and their longer lifetimes due to time dilation have been observed and measured.
These experiments and observations consistently support the predictions of time dilation as outlined by Einstein's theory of relativity. Time dilation is a well-established concept in physics and has significant implications for our understanding of space, time, and the behavior of objects moving at high speeds or within strong gravitational fields.