A New Causal Topology and Why the Universe is Co-compact
Mathematical Physics
2013-08-05 v3 General Relativity and Quantum Cosmology
General Topology
math.MP
Abstract
We show that there exists a canonical topology, naturally connected with the causal site of J. D. Christensen and L. Crane, a pointless algebraic structure motivated by quantum gravity. Taking a causal site compatible with Minkowski space, on every compact subset our topology became a reconstruction of the original topology of the spacetime (only from its causal structure). From the global point of view, the reconstructed topology is the de Groot dual or co-compact with respect to the original, Euclidean topology. The result indicates that the causality is the primary structure of the spacetime, carrying also its topological information.
Keywords
Cite
@article{arxiv.1112.0817,
title = {A New Causal Topology and Why the Universe is Co-compact},
author = {Martin Maria Kovár},
journal= {arXiv preprint arXiv:1112.0817},
year = {2013}
}
Comments
15 pages, AMS LaTeX. Some additional typos corrected