How many quanta are there in a quantum spacetime?

Abstract

Following earlier insights by Livine and Terno, we develop a technique for describing quantum states of the gravitational field in terms of coarse grained spin networks. We show that the number of nodes and links and the values of the spin depend on the observables chosen for the description of the state. Hence the question in the title of this paper is ill posed, unless further information about what is been measured is given.

16 pages, 9 figures

References in corpus (6)

• Polyhedra in loop quantum gravity
• Towards Spinfoam Cosmology
• From twistors to twisted geometries
• Stepping out of Homogeneity in Loop Quantum Cosmology
• Bulk Entropy in Loop Quantum Gravity
• Pentahedral volume, chaos, and quantum gravity

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• Localized chaos due to rotating shock waves in Kerr-AdS black holes and their ultraspinning version
• Replica Trick Calculation for Entanglement Entropy of Static Black Hole Spacetimes
• A new realization of quantum geometry