Some Mathematical and Physical Remarks on Surreal Numbers

TL;DR

This paper explores the potential connections between surreal numbers and various mathematical and physical theories, suggesting new avenues for research in physics and mathematics.

Contribution

It introduces novel links between surreal numbers, matroids, tensors, supersymmetry, and fractal theory, proposing their relevance to understanding physical singularities.

Findings

Linking surreal numbers with matroids and tensors.

Proposing surreal numbers as tools for analyzing singularities.

Suggesting connections between surreal numbers and supersymmetry and fractals.

Abstract

We make a number of observations on Conway surreal number theory which may be useful, for further developments, in both in mathematics and theoretical physics. In particular, we argue that the concepts of surreal numbers and matroids can be linked. Moreover, we established a relation between the Gonshor approach on surreal numbers and tensors. We also comment about the possibility to connect surreal numbers with supesymmetry. In addition, we comment about possible relation between surreal numbers and fractal theory. Finally, we argue that the surreal structure may provide a different mathematical tools in the understanding of singularities in both high energy physics and gravitation.