Mathematics in Sci-fi

Simmons’ includes two specific formulae in The Fall of Hyperion, sqrt(Gh/c^5) and sqrt(Gh/c^3); Planck time and length.  Forgive the formatting, h is actually supposed to be the reduced Planck constant.  Although he says that these are the smallest regions of space and time which can be described meaningfully, he jumps into these “interstices of reality” which he also calls “The Void Which Binds.”  I don’t know much about quantum mechanics, but the speed of light, c, is supposed to be the limit, the upper bound, the ultimate.  So, how can you calculate with the quantity c^5???  Seems like that would cause an “out of range” error in the cosmic computer, no?

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