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Boundary and Corner Terms in the Action for General Relativity
We revisit the action principle for general relativity motivated by the path integral approach to quantum gravity. We consider a spacetime region whose boundary has piecewise $C^2$ components, eachExpand
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Directions in Causal Set Quantum Gravity
In the causal set approach to quantum gravity the spacetime continuum arises as an approximation to a fundamentally discrete substructure, the causal set, which is a locally finite partially orderedExpand
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Phase transitions for flat anti-de Sitter black holes.
We reexamine the thermodynamics of anti-de Sitter (adS) black holes with Ricci flat horizons using the adS soliton as the thermal background. We find that there is a phase transition which isExpand
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Quantum Covers in Quantum Measure Theory
Sorkin’s recent proposal for a realist interpretation of quantum theory, the anhomomorphic logic or coevent approach, is based on the idea of a “quantum measure” on the space of histories. This is aExpand
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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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Discrete geometry of a small causal diamond
We study the discrete causal set geometry of a small causal diamond in a curved spacetime using the average abundance hCkiof k-element chains or total orders in the underlying causal set C. We beginExpand
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On extending the Quantum Measure
We point out that a quantum system with a strongly positive quantum measure or decoherence functional gives rise to a vector-valued measure whose domain is the algebra of events or physicalExpand
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A result in 2d causal set theory: the emergence of spacetime
A 2d model of causal set quantum gravity is constructed using a continuum-inspired dynamics. Apart from a restriction to causal set dimension and topology, the model is fully dynamical and includesExpand
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AN ANALYSIS OF THE REPRESENTATIONS OF THE MAPPING CLASS GROUP OF A MULTIGEON THREE-MANIFOLD
It is known that the distinct unitary irreducible representations (UIR's) of the mapping class group G of a three-manifold ℳ give rise to distinct quantum sectors ("θ sectors") in quantum theories ofExpand
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Evidence for the continuum in 2D causal set quantum gravity
We present evidence for a continuum phase in a theory of 2D causal set quantum gravity which contains a dimensionless non-locality parameter ∈ (0, 1]. We also find a phase transition between thisExpand
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