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DiracPool

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[Mentor's note: this was originally posted in the Quantum Physics forum, so that is what "this section" means below.]

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I wasn't sure whether to post this question in this section or the general math section, so I just decided to do it here..

The question is, does it make sense to give any credulity to numbers that run on for more than 34 decimal places? I've thought about this for a while but that "Mile of Pi" video from numberphile that was just posted recently I think catalyzed this post:

https://www.physicsforums.com/threads/one-mile-of-pi.804514/#post-5050728

If we can't really talk about space less to the plank length (10^-35) and time less to the plank time (10^-43), then what does it really mean to compute Pi to one million decimal places?

So, in summary, does computing any irrational number to more than to the vicinity of the Planck constant have any physical meaning at all? What's the purpose?

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I wasn't sure whether to post this question in this section or the general math section, so I just decided to do it here..

The question is, does it make sense to give any credulity to numbers that run on for more than 34 decimal places? I've thought about this for a while but that "Mile of Pi" video from numberphile that was just posted recently I think catalyzed this post:

https://www.physicsforums.com/threads/one-mile-of-pi.804514/#post-5050728

If we can't really talk about space less to the plank length (10^-35) and time less to the plank time (10^-43), then what does it really mean to compute Pi to one million decimal places?

So, in summary, does computing any irrational number to more than to the vicinity of the Planck constant have any physical meaning at all? What's the purpose?

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