Please let me know a reference where the transformation of the kinetic energy is performed.
Thanks. There is a poblem. K is a physical quantity for which we do not define a proper value whereas for E we do.Since the kinetic energy is the total energy minus the rest energy, and since the rest energy is invariant, won't any reference suffice that gives the transformation of total energy? That is, K = E - mc^2, m is invariant, and E transforms in the usual way.
I suggest that you will need to calculate K in each frame after transforming E. Kinetic energy is not a component of a 4-tensor, since it is just the additional energy imparted by motion. However, it can be writtenThanks. There is a poblem. K is a physical quantity for which we do not define a proper value whereas for E we do.
Thanks. For a less sophisticated audience I would present the problem as:Geometrically, the relativistic kinetic energy is difference between the projections of two 4-momenta-related-by-a-boost onto one of those 4-momenta.