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Test for fractional dimensions

  1. Jul 24, 2009 #1
    What experiment could determine whether our universe is fractal?
     
    Last edited: Jul 24, 2009
  2. jcsd
  3. Jul 24, 2009 #2
    Your question can't be answered. Fractal isn't a well-defined property. Fractal vaguely implies self-symmetry, but this isn't good enough to give a yes or no answer.
     
  4. Jul 24, 2009 #3

    DaveC426913

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    From what I understand of fractional dimensions, they are such that there is not complete freedom of movement in them (i.e. their freedom of movement is a fraction of 1). This means there are discrete positions, not a continuum.

    There should in principle be a test that could show that an object could not move continuously through that dimension, but would move in quantized jumps.
     
  5. Jul 27, 2009 #4
    You mean like quantum states for example? Oops sorry, just re read and see you said quantized jumps that's what I was thinking of. So since energy is quantized then is that evidence that there are fractional dimensions?
     
  6. Jul 27, 2009 #5

    apeiron

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  7. Jul 27, 2009 #6

    DaveC426913

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    1] I'm just hypothesizing. None of this comes close to constituting evidence.
    2] My supposition is that a fractal universe would require a quantized spatial dimension. Don't see how energy being quantized would apply.
     
  8. Jul 27, 2009 #7
    Take a really drunken guy, suppose he can walk in all directions possible, and measure how long it takes for the guy to drift away from a starting point. That is related to the number of dimensions. Some people even call it "spectral dimension".
     
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