If a spaceship is flying by you at high speed relative to you, will the Planck length in the moving frame be smaller than the planck length in the non-moving frame. Will observers in the different frames disagree about the planck length due to length contraction?
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$\begingroup$ Related: en.wikipedia.org/wiki/Doubly_special_relativity $\endgroup$– kleingordonCommented Dec 2, 2021 at 5:12
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$\begingroup$ depend how u measure e.g. train and the tunnel of equal length can be measured with our eye so you must get the drift ;D $\endgroup$– user6760Commented Dec 2, 2021 at 5:37
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2$\begingroup$ Does this answer your question? Planck length at relativistic speeds? $\endgroup$– John RennieCommented Dec 2, 2021 at 5:43
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$\begingroup$ @JohnRennie Maybe I will post another question. This was somewhat of a leading question since I assumed there would be a difference, but my real question was probably headed toward, this "since the planck length can be expressed in terms of h, c G, (and perhaps pi) wouldn't one of those constants have to change, and how would you decide which one? $\endgroup$– Joseph HirschCommented Dec 2, 2021 at 13:41
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In standard relativity the Planck length is just another unit. It contracts just as the meter and the mile do.
Perhaps a future theory of quantum gravity will say something different.
