Problem

If it is fundamental to nature that a given mass has a critical radius at which something...

If it is fundamental to nature that a given mass has a critical radius at which something extraordinary happens (i.e., a black hole forms), we might guess that this radius should depend only on the mass and fundamental constants of nature. Assuming that rCRILICAL depends only on M, G, and c, show that dimensional analysis gives the equation for the Schwarzsefiild radius to within a multiplicative constant.

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