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How does maximum symmetry compare to its corresponding minimum symmetry?

  1. Jan 31, 2012 #1
    In a mathematical system, what similarities are there between the most and least absolute symmetries?

    Might Noether's theorem explain this?
     
  2. jcsd
  3. Feb 1, 2012 #2

    HallsofIvy

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    Before anyone can answer this, you will need to specify what you mean by "maximum" and "minimum" symmetry. How are you ordering symmetries?
     
  4. Feb 1, 2012 #3
    I was thinking in part of "maximum" temperatures and "minimum" temperatures, as considered with a magnetic field -- are they of equal symmetry?
     
  5. Feb 1, 2012 #4
    Make that temperature "approaching infinity" and temperature "approaching negative infinity."
     
  6. Feb 2, 2012 #5

    HallsofIvy

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    You do understand "absolute zero" do you not?

    But, in what sense does a mathematical system have a "temperature"?
     
  7. Feb 2, 2012 #6
    I believe I once saw in Scientific American the concept of negative temperature relative to "absolute" zero. The system discussed was of a theoretical magnetic field that represented a temperature approaching infinity, but in a similar symmetric configuration could (ironically) represent temperature approaching negative infinity.
     
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