Author(s)

Juan Antonio Nieto

Facultad de Ciencias Fsico-Matemáticas de la Universidad Autónoma de Sinaloa, Culiacán, México.

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.

Surreal Numbers, Supersymmetry, Cosmology

Nieto, J. (2016) Some Mathematical and Physical Remarks on Surreal Numbers. Journal of Modern Physics, 7, 2164-2176. doi: 10.4236/jmp.2016.715188.