Planck Mass
I recently posted a question regarding the Planck Mass here, and got no responses so I figured I’d update anyone who was curious and without any answers.
I spoke to my professors and she simply stated that it’s the reason why physicists don’t understand the mechanism by which things acquire mass. The Planck Time corresponds to the smallest duration of time and the Planck Length corresponds to the smallest distance physically possible*. The Planck Mass should correspond to the most fundamental unit of mass, but having a value of 2.17651(13)×10−8 kg, it is clearly much larger than the mass of any fundamental particle. So given the presupposition that the Planck Mass is supposed to be the most fundamental unit of mass, yet the mass of fundamental particles are much smaller, physicists simply do not understand why particles have the mass they do. Essentially, if you are confused….. so is everyone else.
During the first moments of the Big Bang, we can assume that any physics will involve Newton’s Gravitational Constant, G (because it appears in most gravity calculations,) Planck’s Constant (because it appears in most quantum mechanics calculations,) and the speed of light, c (because it is fundamental in relativity and quantum mechanics.) By this information alone, you can find expressions for the Planck Mass, Time and Length. A great outline here.