Why is Planck time scaled by c^5?

samedi 1 mars 2014

Just curious.



The Planck length is lpl = (hG/c3)1/2 = 10-33cm



And it seems intuitive that it's c cube because space has three dimensions for the action.



But the Planck time is tpl = (hG/c5)1/2 = 10-43s



So is there some obvious physical reason why c is to the power of five here?





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