Wave four-tensor of a plane light wave in free space with application to the positive mass theorem in general relativity

The positive mass theorem in general relativity states that an asymptotically flat spacetime, if the momentum–energy tensor is divergence-free and satisfies a dominant energy condition, then total four-vector can be formed, of which component nonnegative. In this paper, we take wave four-tensor plane light free space as counterexample to show there no guarantee formed. Thus theoretical framework for flawed. addition, it also shown well Lorentz covariance Dirac equation not compatible with Einstein mass–energy equivalence.