TITLE:
Some Mathematical and Physical Remarks on Surreal Numbers
AUTHORS:
Juan Antonio Nieto
KEYWORDS:
Surreal Numbers, Supersymmetry, Cosmology
JOURNAL NAME:
Journal of Modern Physics,
Vol.7 No.15,
November
24,
2016
ABSTRACT: We make a number of observations on Conway surreal number theory which may be useful, for further developments, in both 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 supersymmetry. 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 tool in the understanding of singularities in both high energy physics and gravitation.