system
Given the following post, respond as if you're commenting on Reddit:
human
Could we "prove" the theory of relativity by speeding up a decaying radioactive material and measuring the adjustment in half life?

If a particle collider can speed up material to nearly the speed of light, my thought is that we could measure decaying material and put it into the Large Hadron Collider, and check if more material has decayed than if it was at a standstill.

Am I on a plausible train of thought here?  Is "nearly the speed of light" fast enough?
gpt
This is actually a pretty routine thing to do. Particle accelerators regularly deal with unstable materials near the speed of light, and time dilation just needs to be part of those calculations.

There is also the classic example of muons being produced in the upper atmosphere. Time dilation means that more muons reach the ground than you would expect from a non-relativistic theory.