Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-04-28
J.Math.Phys.48:032501,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
The statement of a lemma has been simplified and the proof rewritten. Errors have been corrected. One figure has been removed.
Scientific paper
10.1063/1.2435599
An important question that discrete approaches to quantum gravity must address is how continuum features of spacetime can be recovered from the discrete substructure. Here, we examine this question within the causal set approach to quantum gravity, where the substructure replacing the spacetime continuum is a locally finite partial order. A new topology on causal sets using ``thickened antichains'' is constructed. This topology is then used to recover the homology of a globally hyperbolic spacetime from a causal set which faithfully embeds into it at sufficiently high sprinkling density. This implies a discrete-continuum correspondence which lends support to the fundamental conjecture or ``Hauptvermutung'' of causal set theory.
Major Seth
Rideout David
Surya Sumati
No associations
LandOfFree
On Recovering Continuum Topology from a Causal Set does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On Recovering Continuum Topology from a Causal Set, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Recovering Continuum Topology from a Causal Set will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-326503