I do not know much about quantum physics. However, I do know it believes the world is discrete ( has quanta). This seems to contradicts the fact that we can create an object of length root 2 since you can not choose a quanta for an object of root 2 such that the total length sums to root 2. Does quantum physics agree with the fact that root 2 is constructable?

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    $\begingroup$ I'm afraid it is (spectacularly) unclear what your question means. Are you asking if a stick can be infinitely divided, or are you asking if any physical object could have a length of $\sqrt{2}$ i.e. do irrational numbers have any physical meaning, or are you asking something else that I haven't thought of? $\endgroup$ Mar 3 '15 at 16:31
  • $\begingroup$ Is this clearer? I know root 2 can be constructed. I am asking how can a statement that the world is discrete allow for the construction of a non-discrte number such as root 2. $\endgroup$
    – dylan7
    Mar 3 '15 at 16:38
  • $\begingroup$ Possible duplicates: physics.stackexchange.com/q/52273/2451 , physics.stackexchange.com/q/9720/2451 and links therein. $\endgroup$
    – Qmechanic
    Mar 3 '15 at 16:50
  • $\begingroup$ @John I'm not asking if it is possible, I know it is. I know root 2 is a constructable number. I am asking how quantum physics agrees with that fact. $\endgroup$
    – dylan7
    Mar 3 '15 at 17:01
  • $\begingroup$ Contrary to popular belief, the crucial point/defining property of quantum physics is not that anything is discretized. $\endgroup$
    – ACuriousMind
    Mar 3 '15 at 17:06

A common misunderstanding of quantum mechanics is the belief that EVERYTHING in the world is quantized, but this is simply not true. For example the position of a free particle is not quantized but may take on any value.

  • $\begingroup$ Thank you. However, what critically defining concept of quantum physics led to the name of the subject coming from the word quanta? It seems there is some important concept in the subject that had to do with discrete, or no? $\endgroup$
    – dylan7
    Mar 3 '15 at 17:16
  • $\begingroup$ The word was first used by Planck and Helmholtz in reference to discrete amounts of energy and or heat. $\endgroup$ Mar 3 '15 at 17:21

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