Positivity of Mass in Higher Dimensions

TL;DR

This paper proves the positive mass theorem in higher dimensions by employing causality arguments inspired by earlier work in 3+1 dimensions, extending the foundational concept to more complex spacetime models.

Contribution

It introduces a new proof of the positive mass theorem in higher dimensions using causality-based methods inspired by Penrose, Sorkin, and Woolgar.

Findings

Positive mass theorem established in higher dimensions

Causality arguments effectively extend 3+1 dimensional proofs

Supports stability and consistency of higher-dimensional spacetime models

Abstract

The positive mass theorem in higher dimensions is proved using causality arguments inspired by those of Penrose, Sorkin and Woolgar in 3+1 dimensions.