
Contents
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10.1 Black hole entropy 10.1 Black hole entropy
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10.1.1 Black hole thermodynamics 10.1.1 Black hole thermodynamics
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10.1.2 Hawking radiation 10.1.2 Hawking radiation
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10.1.3 Black hole entropy in loop quantum gravity 10.1.3 Black hole entropy in loop quantum gravity
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10.2 The master constraint and uniform discretizations 10.2 The master constraint and uniform discretizations
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10.2.1 The master constraint program 10.2.1 The master constraint program
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10.2.2 Uniform discretizations 10.2.2 Uniform discretizations
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10.3 Spin foams 10.3 Spin foams
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10.3.1 Path integrals in quantum mechanics 10.3.1 Path integrals in quantum mechanics
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10.3.2 Path integrals in general relativity and spin foams 10.3.2 Path integrals in general relativity and spin foams
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10.4 Possible observational effects? 10.4 Possible observational effects?
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10.4.1 Quantum gravity and the arrival time of gamma rays from gamma ray bursts 10.4.1 Quantum gravity and the arrival time of gamma rays from gamma ray bursts
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10.4.2 Limitations in measurements of times and lengths 10.4.2 Limitations in measurements of times and lengths
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10.5 The problem of time 10.5 The problem of time
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10.5.1 Evolving constants of the motion 10.5.1 Evolving constants of the motion
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10.5.2 The conditional probabilities interpretation 10.5.2 The conditional probabilities interpretation
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10.5.3 Conditional probabilities with evolving constants of the motion 10.5.3 Conditional probabilities with evolving constants of the motion
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Further reading Further reading
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Cite
Abstract
This chapter discusses several topics in which loop quantum gravity techniques have been applied. These include black hole entropy in the context of black hole thermodynamics and how loop quantum gravity accounts for the entropy; the master constraint technique and the closely related uniform discretizations as a means of dealing with some of the problems of the Hamiltonian constraint; the spin foam techniques to treat the covariant quantization of gravity via path integral techniques; the possibility that observational effects could arise in the dispersion of the light that arrives from gamma ray bursts; possible limitations in the measurement of times and distances; and the problem of time in quantum gravity and recent proposals to deal with it.
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