The multihistory approach to the time-travel paradoxes of General Relativity: mathematical analysis of a toy model

TL;DR

This paper analyzes a non-relativistic toy model inspired by Visser's multihistory approach to understand causation in the context of time-travel paradoxes in General Relativity.

Contribution

It provides a mathematical analysis of a toy model to characterize conditions for causation within multihistory frameworks.

Findings

Identifies conditions under which causation occurs in the toy model.

Provides a mathematical foundation for multihistory approaches.

Clarifies the role of causation in time-travel paradoxes.

Abstract

With a mathematical eye to Matt Visser's multihistory approach to the time-travel-paradoxes of General Relativity, a non relativistic toy model is analyzed in order of characterizing the conditions in which, in such a toy model, causation occurs.