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How related is Number Theory to Physics?

  1. Feb 20, 2013 #1
    As I've read and been told, you can never know too much mathematics when you study physics, and I think I read it somewhere here. I have also read that cutting-edge theories like M-Theory need most likely a new the invention of a new type of mathematics to be developed.

    But my question is, how does number theory relate to physics? I would like to know its direct, or indirect applications, how did the Fermat's Last Theorem proof have possiby contributed to our understanding of the universe? I imagine there is much more to number theory than that, as my knowledge about the subject does not go much further than a bit of modular arithmetics.

    This is by no means a rant against number theory, I'm only asking it because I am becoming very interested in it, and would like to know more about its pratical usefulness.
  2. jcsd
  3. Feb 20, 2013 #2
    Hmm. I, personally, don't know, but I can guess that a lot of the applications of NT are to be found in quantum mechanics.
  4. Feb 20, 2013 #3


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