The idea of placing atomic clocks on dollies and setting them into motion to measure macroscopic special relativistic-kinematic time dilation is an interesting concept. It could potentially serve as a way to demonstrate the effects of time dilation on a macroscopic scale, leveraging the precision and accuracy of atomic clocks.
In theory, if you set up such an experiment with two identical atomic clocks—one stationary and the other in motion—and then compare the time measured by each clock after a period of motion, you would observe a measurable time difference due to time dilation.
However, there are several practical challenges and limitations to consider. First, achieving velocities that are high enough to yield noticeable time dilation effects would require significant amounts of energy and technical expertise. Additionally, maintaining the necessary precision and stability of atomic clocks while in motion can be challenging, as external forces and vibrations can affect their performance.
Furthermore, other factors like gravitational time dilation (due to differences in gravitational potential) and environmental conditions (such as temperature and electromagnetic fields) can introduce additional complexities and sources of uncertainty in the measurements.
That being said, experiments involving atomic clocks have been conducted to verify time dilation effects, albeit on a smaller scale, using high-precision experiments with moving clocks on airplanes and satellites. These experiments have provided strong evidence for the validity of special relativity.
In summary, while the idea of using atomic clocks on dollies to measure macroscopic special relativistic-kinematic time dilation is conceptually intriguing, practical challenges and limitations make it a complex endeavor. However, similar experiments on smaller scales have successfully demonstrated the effects of time dilation predicted by special relativity.