Note on Signature Change and Colombeau Theory

TL;DR

This paper discusses the controversies surrounding signature change in general relativity, emphasizing that disagreements stem from differing underlying assumptions rather than fundamental issues, and highlights the open choice among approaches.

Contribution

It clarifies that debates on signature change are due to assumptions and underscores the open nature of approach selection in Colombeau theory.

Findings

Disagreements are about assumptions, not fundamental problems

The choice of approach remains open and unresolved

Highlights the role of Colombeau theory in the context

Abstract

Recent work alludes to various `controversies' associated with signature change in general relativity. As we have argued previously, these are in fact disagreements about the (often unstated) assumptions underlying various possible approaches. The choice between approaches remains open.