Horizon molecules in causal set theory

Horizon molecules in causal set theory

We propose a new definition of "horizon molecules" in causal set theory following pioneering work by Dou and Sorkin. The new concept applies for any causal horizon and its intersection with any spacelike hypersurface. In the continuum limit, as the discreteness scale tends to zero, the lea...

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Veröffentlicht in:Physical review. D 2019-12, Vol.100 (12), p.1, Article 126008
Hauptverfasser: Barton, Christopher, Counsell, Andrew, Dowker, Fay, Gould, Dewi S. W., Taylor, Gwylim, Jubb, Ian
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Horizon
Hyperspaces
Set theory
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container_issue 12
container_start_page 1
container_title Physical review. D
container_volume 100
creator Barton, Christopher
Counsell, Andrew
Dowker, Fay
Gould, Dewi S. W.
Taylor, Gwylim
Jubb, Ian
description We propose a new definition of "horizon molecules" in causal set theory following pioneering work by Dou and Sorkin. The new concept applies for any causal horizon and its intersection with any spacelike hypersurface. In the continuum limit, as the discreteness scale tends to zero, the leading behavior of the expected number of horizon molecules is shown to be the area of the horizon in discreteness units, up to a dimension dependent factor of order one. We also determine the first order corrections to the continuum value, and show how such corrections can be exploited to obtain further geometrical information about the horizon and the spacelike hypersurface from the causal set.
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Set theory
title Horizon molecules in causal set theory
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