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Causal set d'Alembertians for various dimensions · Around

2013

Causal set d'Alembertians for various dimensions

Dowker, Fay, Glaser, Lisa

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We propose, for dimension d, a discrete Lorentz invariant operator on scalar fields that approximates the Minkowski spacetime scalar d'Alembertian.

For each dimension, this gives rise to a scalar curvature estimator for causal sets, and thence to a proposal for a causal set action.

Built on

Does locality fail at intermediate length-scales?
Rafael D. Sorkin · 2006
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The causal set approach to quantum gravity
Joe Henson · 2006
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The geometry of small causal diamonds
G. W. Gibbons and S. N. Solodukhin · 2007
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The Scalar Curvature of a Causal Set
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Then

The Random Discrete Action for 2-Dimensional Spacetime
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