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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. TheExpand
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Towards standard testbeds for numerical relativity
In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical relativity communityExpand
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High resolution population estimates from telecommunications data
TLDR
Spatial variations in the distribution and composition of populations inform urban development, health-risk analyses, disaster relief, and more. Expand
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Evidence for a continuum limit in causal set dynamics
We find evidence for a continuum limit of a particular causal set dynamics which depends on only a single ``coupling constant'' p and is easy to simulate on a computer. The model in question is aExpand
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Indications of de Sitter Spacetime from Classical Sequential Growth Dynamics of Causal Sets
A large class of the dynamical laws for causal sets described by a classical process of sequential growth yields a cyclic universe, whose cycles of expansion and contraction are punctuated by singleExpand
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General solution for classical sequential growth dynamics of causal sets
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 ofExpand
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Network Cosmology
TLDR
We show that the large-scale structure of spacetime in our accelerating universe is a power-law graph with strong clustering, similar to many complex networks such as the Internet, social, or biological networks. Expand
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Spacelike distance from discrete causal order
Any discrete approach to quantum gravity must provide some prescription as to how to deduce continuum properties from the discrete substructure. In the causal set approach it is straightforward toExpand
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Dynamics of causal sets
The Causal Set approach to quantum gravity asserts that spacetime, at its smallest length scale, has a discrete structure. This discrete structure takes the form of a locally finite order relation,Expand
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Spatial hypersurfaces in causal set cosmology
Within the causal set approach to quantum gravity, a discrete analogue of a spacelike region is a set of unrelated elements, or an antichain. In the continuum approximation of the theory, aExpand
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