by Steven Gusman My understanding is that the Planck units were discovered when Max Planck simply took the fundamental constants, c, G, and h, and algebraically manipulated them until they returned a unique length, mass, and duration (in other words, he reverse-engineered them through unit analysis). 1 Utilizing the fact that p = mv and E = mc 2 , one can further manipulate the Planck units to include a momentum and an energy. l p = (hG/c 3 ) 1/2 m p = (hc/G) 1/2 t p = (hG/c 5 ) 1/2 p p = (hc 3 /G) 1/2 E p = (hc 5 /G) 1/2 The small values, length and time, are then naturally assumed by many physicists to be quanta of those variables (or at least of the right order-of-magnitude). That combining the relativistic constants G and c with the quantum of action, h, appears to yield a quantum of space and time leads most physicists attempting to discover a theory of quantum gravity to believe that the Planck unit
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