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Published in 2017 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/aaadc4
Abstract: We investigate the extrinsic geometry of causal sets in $(1+1)$-dimensional Minkowski spacetime. The properties of boundaries in an embedding space can be used not only to measure observables, but also to supplement the discrete action…
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Keywords:
geometry;
causal sets;
inference boundaries;
boundaries causal ... See more keywords
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Published in 2020 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/abe6b7
Abstract: In this paper we will explore two different proposals for the action for causal sets: the Benincasa–Dowker action [1], and a modified version of the chain action [2]. We propose a variational principle for two-dimensional…
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Keywords:
principle two;
variational principle;
dimensional causal;
two dimensional ... See more keywords
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Published in 2022 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ac5922
Abstract: We present a new method for embedding a causal set into an interval of Minkowski spacetime. The method uses spacetime volumes for causally related elements to define causal set analogs of Minkowski inner products. These…
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Keywords:
embedding causal;
minkowski spacetime;
causal set;
causal sets ... See more keywords