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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/1748

Title: General solution for classical sequential growth dynamics of causal sets
Authors: Varadarajan, Madhavan
Rideout, David
Issue Date: 16-May-2006
Publisher: The American Physical Society
Citation: Physical Review D, 2006, Vol.73, 104021
Abstract: A classical precursor to a full quantum dynamics for causal sets has been formulated in terms of a stochastic sequential growth process in which the elements of the causal set arise in a sort of accretion process. The transition probabilities of the Markov growth process satisfy certain physical requirements of causality and general covariance, and the generic solution with all transition probabilities nonzero has been found. Here we remove the assumption of nonzero probabilities, define a reasonable extension of the physical requirements to cover the case of vanishing probabilities, and find the completely general solution to these physical conditions. The resulting family of growth processes has an interesting structure reminiscent of an "infinite tower of turtles" cosmology.
URI: http://hdl.handle.net/2289/1748
ISSN: 1550-7998
1550-2368 (online)
Alternative Location: http://link.aps.org/abstract/PRD/v73/e104021
Copyright: (2006) by the American Physical Society
Appears in Collections:Research Papers (TP)

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