Decoherent Histories of Spin Networks

Foundations of Physics 43 (3):310-328 (2013)

Authors
David Schroeren
Princeton University
Abstract
The decoherent histories formalism, developed by Griffiths, Gell-Mann, and Hartle (in Phys. Rev. A 76:022104, 2007; arXiv:1106.0767v3 [quant-ph], 2011; Consistent Quantum Theory, Cambridge University Press, 2003; arXiv:gr-qc/9304006v2, 1992) is a general framework in which to formulate a timeless, ‘generalised’ quantum theory and extract predictions from it. Recent advances in spin foam models allow for loop gravity to be cast in this framework. In this paper, I propose a decoherence functional for loop gravity and interpret existing results (Bianchi et al. in Phys. Rev. D 83:104015, 2011; Phys. Rev. D 82:084035, 2010) as showing that coarse grained histories follow quasiclassical trajectories in the appropriate limit
Keywords Decoherent histories  Class operator  Decoherence functional  Spin network  Quantum gravity  Spin foams  Path integral  Coarse graining  Probability
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DOI 10.1007/s10701-013-9698-4
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Decoherence and Ontology, Or: How I Learned To Stop Worrying And Love FAPP.David Wallace - 2010 - In Simon Saunders, Jonathan Barrett, Adrian Kent & David Wallace (eds.), Many Worlds? Everett, Quantum Theory, and Reality. Oxford, U.K.: Oxford University Press.
Macroscopic Superpositions, Decoherent Histories, and the Emergence of Hydrodynamical Behaviour.Jonathan Halliwell - 2010 - In Simon Saunders, Jonathan Barrett, Adrian Kent & David Wallace (eds.), Many Worlds?: Everett, Quantum Theory & Reality. Oxford University Press.
Quasiclassical Realms.Jim Hartle - 2010 - In Simon Saunders, Jonathan Barrett, Adrian Kent & David Wallace (eds.), Many Worlds?: Everett, Quantum Theory & Reality. Oxford University Press.
Consistent Histories in Quantum Cosmology.David Craig & Parampreet Singh - 2011 - Foundations of Physics 41 (3):371-379.

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