General solution for classical sequential growth dynamics of causal sets

Varadarajan, Madhavan; Rideout, David

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

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DC Field	Value	Language
dc.contributor.author	Varadarajan, Madhavan	-
dc.contributor.author	Rideout, David	-
dc.date.accessioned	2007-01-08T06:06:12Z	-
dc.date.available	2007-01-08T06:06:12Z	-
dc.date.issued	2006-05-16	-
dc.identifier.citation	Physical Review D, 2006, Vol.73, 104021	en
dc.identifier.issn	1550-7998	-
dc.identifier.issn	1550-2368 (online)	-
dc.identifier.uri	http://hdl.handle.net/2289/1748	-
dc.description.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.	en
dc.format.extent	165110 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	en
dc.publisher	The American Physical Society	en
dc.relation.uri	http://link.aps.org/abstract/PRD/v73/e104021	en
dc.rights	(2006) by the American Physical Society	en
dc.title	General solution for classical sequential growth dynamics of causal sets	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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