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Planck length to mass ratio

  1. Mar 22, 2009 #1
    does anyone know something about the ratio of Planck length to Planck mass : signification, use in quantum relationships...
     
  2. jcsd
  3. Mar 22, 2009 #2

    Vanadium 50

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    The Planck length is: [tex]\sqrt{\frac{\hbar G}{c^3}}[/tex]

    and the Planck mass is: [tex]\sqrt{\frac{\hbar c}{G}}[/tex]

    The ratio is therefore [itex]G/c^{2}[/itex]. Since there is no [itex]\hbar[/itex], it will not appear in "quantum relationships".
     
    Last edited: Mar 22, 2009
  4. Mar 22, 2009 #3

    malawi_glenn

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    Is this post also just for "testing us"? To see if we are worth your time?
     
  5. Mar 22, 2009 #4

    Negative, that equation is incorrect.

    Planck length:
    [tex]\ell_P = \sqrt\frac{\hbar G}{c^3}[/tex]

    Reference:
    http://en.wikipedia.org/wiki/Planck_length" [Broken]
     
    Last edited by a moderator: May 4, 2017
  6. Mar 22, 2009 #5

    Vanadium 50

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    Typo fixed. The point that hbar divides out, though, is unaffected.
     
  7. Mar 23, 2009 #6

    Redbelly98

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    At least nobody is asking for Planck length divided by Planck time ...:biggrin:
     
    Last edited: Mar 23, 2009
  8. Mar 24, 2009 #7

    malawi_glenn

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    Planck colour divided by planck field then? :biggrin:
     
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