Decoherent Histories of Spin Networks
arXiv:1206.4553 · doi:10.1007/s10701-013-9698-4
Abstract
The decoherent histories formalism, developed by Griffiths, Gell-Mann, and Hartle 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 as showing that coarse grained histories follow quasiclassical trajectories in the appropriate limit.
Published version
References in corpus (14)
- LQG vertex with finite Immirzi parameter
- Problem of Time in Quantum Gravity
- Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity
- Quasiclassical Coarse Graining and Thermodynamic Entropy
- Self-energy and vertex radiative corrections in LQG
- Probabilities in Quantum Cosmological Models: A Decoherent Histories Analysis Using a Complex Potential
- Arrival Times, Complex Potentials and Decoherent Histories
- Decoherent Histories Quantum Mechanics with One 'Real' Fine-Grained History
- Decoherent Histories Approach to the Arrival Time Problem
- Consistent Histories in Quantum Cosmology
- Many-nodes/many-links spinfoam: the homogeneous and isotropic case
- Pitfalls of Path Integrals: Amplitudes for Spacetime Regions and the Quantum Zeno Effect
- On the Relationship Between Complex Potentials and Strings of Projection Operators
- Spacetime Coarse Grainings in the Decoherent Histories Approach to Quantum Theory