Comment on "Self-dual teleparallel formulation of general relativity and the positive energy theorem" G. Y. Chee

TL;DR

This paper provides a correct tensor proof of the positive energy theorem incorporating momentum, emphasizing the geometrical significance of the Sen-Witten spinor field and clarifying previous misunderstandings.

Contribution

It offers a valid tensor proof of the positive energy theorem with momentum, highlighting the geometric role of the Sen-Witten spinor field and correcting prior misinterpretations.

Findings

Established a tensor proof of the positive energy theorem including momentum

Clarified the geometric significance of the Sen-Witten spinor field

Corrected previous misquotations and misunderstandings

Abstract

We give a correct tensor proof of the positive energy problem for the case including momentum on basis of conditions of existence of the two-to-one correspondence between the Sen-Witten spinor field and the Sen-Witten orthonormal frame. These conditions were obtained in our previous publications, but true significance of our works was not estimated properly by G.Y.Chee, and these were not correct quoted in his publication. On other hand, the main result of our work is key argument in favour of geometrical nature of the Sen-Witten spinor field.