2D Gravity with Torsion, Oriented Matroids and 2+2 Dimensions

TL;DR

This paper explores the connection between oriented matroid theory and two-dimensional gravity with torsion, potentially impacting theories involving noncommutative phase space in (2+2) signature spacetimes.

Contribution

It establishes a novel link between oriented matroids and 2D gravity with torsion, opening new avenues for research in noncommutative geometry and gravity theories.

Findings

Link established between oriented matroids and 2D gravity with torsion

Potential applications in noncommutative phase space theories

Implications for gravity theories in (2+2) signature spacetimes

Abstract

We find a link between oriented matroid theory and 2d gravity with torsion. Our considerations may be useful in the context of noncommutative phase space in a target spacetime of signature (2+2) and in a possible theory of gravity ramification.