# Quantum physics and constructable numbers [duplicate]

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?

• 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? Mar 3 '15 at 16:31
• 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. Mar 3 '15 at 16:38
• Possible duplicates: physics.stackexchange.com/q/52273/2451 , physics.stackexchange.com/q/9720/2451 and links therein. Mar 3 '15 at 16:50
• @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. Mar 3 '15 at 17:01
• Contrary to popular belief, the crucial point/defining property of quantum physics is not that anything is discretized. Mar 3 '15 at 17:06