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Keith Elliott Peterson (Aug 25 2023 at 00:54):When an observer is accelerating closer and closer to the speed of light and spacetime contracts/dilates, what happens to Plank units of space and time within that reference frame? Do the units remain fixed, or do they also warp from the perspective of the observer?
John Baez (Aug 25 2023 at 07:14):Units don't change. The Planck units don't depend on your frame of reference any more than the meter depends on your frame of reference. A Lorentz transformation changes the distances between objects but it doesn't change the meter or Planck length, which are units of distance.
However, your argument shows that there can be no minimum distance between objects if special relativity (or even general relativity) is correct. This is well known to physicists but oft ignored by others.
John Baez (Aug 25 2023 at 07:14):Of course, general relativity may not be correct.