Friday, 7 August 2020

special relativity - Potential energy in $E_f^2=(mc^2)^2+(pc)^2$?


Let's consider


$$E_f^2=(mc^2)^2+(pc)^2$$


where the $mc^2$ is the rest energy due to the rest mass -- in Finnish "lepomassa".


$$ \sqrt{(mc^2)^2+(pc)^2} - mc^2~=~(\gamma-1)mc^2$$


is the kinetic energy due to the movement because of momentum $p=\gamma mv$.


Now where is potential energy if $E_f=\gamma mc^2$ is the total energy?




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