Some Mathematical and Physical Remarks on Surreal Numbers
arXiv:1611.09699 · doi:10.4236/jmp.2016.715188
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.
19 pages, Latex, to be published in Journal of Modern Physics
References in corpus (6)
- Strings, black holes, the tripartite entanglement of seven qubits and the Fano plane
- Anyons from Strings
- On the geometry of a class of N-qubit entanglement monotones
- Qubits and oriented matroids in four time and four space dimensions
- Phirotopes, Super p-branes and Qubit Theory
- STU attractors from vanishing concurrence