Classical sequential growth dynamics for causal sets
نویسندگان
چکیده
منابع مشابه
A Classical Sequential Growth Dynamics for Causal Sets
Starting from certain causality conditions and a discrete form of general covariance, we derive a very general family of classically stochastic, sequential growth dynamics for causal sets. The resulting theories provide a relatively accessible “half way house” to full quantum gravity that possibly contains the latter’s classical limit (general relativity). Because they can be expressed in terms...
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In the causal set program, the development of a dynamics is one of the most crucial issues. In this report, a candidate for a dynamics, sequential growth models, is studied with focus on the author’s personal work. Causal set formalism is introduced using the more general mathematics of partial orders. Sequential growth models are investigated as a possible dynamics for causal sets. Among them,...
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A random graph order, also known as a transitive percolation process, is defined by taking a random graph on the vertex set {0, . . . , n− 1}, and putting i below j if there is a path i = i1 · · · ik = j in the graph with i1 < · · · < ik. In [15], Rideout and Sorkin provide computational evidence that suitably normalised sequences of random graph orders have a “continuum limit”. We confirm that...
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Let ∆∞ = End([∞]) be the monoid of convergent monotonic sequences in N∪{∞}. The category Pre(∆∞) of sequential sets is the category whose objects are sets equipped with an action of this monoid, and whose morphisms are equivariant maps. We call a category C sequentially generated if it is a localization of Pre(∆∞). In this paper we show that several important categories, including the category ...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 1999
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.61.024002