English

On the Causal and Topological Structure of the $2$-Dimensional Minkowski Space

Mathematical Physics 2019-03-06 v3 math.MP

Abstract

A list of all possible causal relations in the 22-dimensional Minkowski space MM is exhausted, based on the duality between timelike and spacelike in this particular case, and thirty topologies are introduced, all of them encapsulating the causal structure of MM. Generalisations of these results are discussed, as well as their significance in a discussion on spacetime singularities.

Keywords

Cite

@article{arxiv.1811.06097,
  title  = {On the Causal and Topological Structure of the $2$-Dimensional Minkowski Space},
  author = {Kyriakos Papadopoulos and Nazli Kurt and Basil K. Papadopoulos},
  journal= {arXiv preprint arXiv:1811.06097},
  year   = {2019}
}