I know it is a coincidence I'm just saying that it is funny that you can incorrectly come to a correct conclusion by failing to be precise. And no this person didn't have a source he just attempted to oversimplify the derivation then I asked why he used the approximation for kinetic energy and...
I knew this derivation made no sense because the energy principle in this scenario is applying to an energy conserved system consisting of an infinite amount of space between the observer and the object and it makes so many assumptions that I can't even comprehend. However it is quite insane...
Why do we use the equation ##\frac {1}{2}mv^2 = \frac {GmM}{r}## to derive potential velocity, and then put that in the Lorentz factor in order to derive gravitational time dilation? Shouldn't we be using the relativistic definition of kinetic energy -> ##mc^2(\gamma - 1)## to derive the...