How/why is The Elegant Universe documentary a "hoax"?
Definition of hoax from Merriam-Webster:
Brian Greene is a scientist. As far as I know he tends to present things in an intellectually honest manner in that he admits that [string theory/M-theory] could be wrong but hopes/believes that it...
I think you are putting way too much into this (not necessarily a bad thing). When used in dimensional analysis it is simply a number that can be applied to something. Like if I wanted to convert 36 grams of water to molecules of water:
(1 mole H20) (6.022×10^23 molecH20)...