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Maximal identical configuration symmetries

  1. May 14, 2004 #1
    Quantum mechanics: classical indistinguishability?

    What is the quantum number correspondent to the maximal symmetry shared by any two real physical configurations in observable spacetime? For instance, any two protons have a high probability of sharing an identical set of quantum numbers, whereas any two simple crystals are much less likely to, yet only two DNA molecules in the cosmos might match mutually and exactly between the quantum numbers which describe each.

    It follows that there exists an upper bound within our finite universe where at most two macroscopic configurations of identical quantum numbers occur with equal likelihood. Consider this cosmic limit for identical sets of quantum numbers to enumerate the symmetry of the correspondence principle, to demarcate the quantum from the classical.

    Do you find significance in the fact that beyond a certain complexity, statistics requires unique forms of physical entities? That is, does the correspondence principle rely upon the distinguishability of macroscopic quantum configurations?
    Last edited: May 14, 2004
  2. jcsd
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