On the Causal and Topological Structure of the 2-Dimensional Minkowski Space
Abstract
A list of all possible causal relations in the two-dimensional Minkowski space M 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 M. Generalisations of these results are discussed, as well as their significance in a discussion on spacetime singularities.
- Publication:
-
Universe
- Pub Date:
- March 2019
- DOI:
- 10.3390/universe5030070
- arXiv:
- arXiv:1811.06097
- Bibcode:
- 2019Univ....5...70P
- Keywords:
-
- Minkowski space;
- causal relations;
- interval topology;
- Alexandrov topology;
- intersection topology;
- Mathematical Physics
- E-Print:
- doi:10.3390/universe5030070