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arXiv · 1811.06097

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

Kyriakos Papadopoulos·Nazli Kurt·Basil K. Papadopoulos
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Abstract

A list of all possible causal relations in the $2$-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.

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Kyriakos Papadopoulos, Nazli Kurt, Basil K. Papadopoulos. 2018-11-14. On the Causal and Topological Structure of the $2$-Dimensional Minkowski Space. https://doi.org/10.3390/universe5030070

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