Emergent semiclassical time in quantum gravity: II. Full geometrodynamics and minisuperspace examples

@article{Anderson2007EmergentST,
  title={Emergent semiclassical time in quantum gravity: II. Full geometrodynamics and minisuperspace examples},
  author={E. Anderson},
  journal={Classical and Quantum Gravity},
  year={2007},
  volume={24},
  pages={2979-3004}
}
  • E. Anderson
  • Published 2007
  • Physics
  • Classical and Quantum Gravity
I apply the preceding paper's emergent semiclassical time approach to geometrodynamics. The analogy between the two papers is useful at the level of the quadratic constraints, while I document the differences between the two due to the underlying differences in their linear constraints. I find that the emergent time-dependent wave equation for the universe in general not a time-dependent Schrodinger equation but rather a more general equation containing second time derivatives, and estimate in… Expand
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References

SHOWING 1-10 OF 161 REFERENCES
Emergent semiclassical time in quantum gravity: I. Mechanical models*
The emergent semiclassical time approach to resolving the problem of time in quantum gravity is considered in the arena of relational particle toy models. In situations with 'heavy' and 'light'Expand
Time in semiclassical gravity.
  • Brout, Venturi
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1989
TLDR
It is shown that cosmology as a theory of the mean is meaningful and the Schr\"odinger equation for matter is obtained in conformity with previous work where these particular questions were not addressed. Expand
On the semiclassical limit of the Wheeler-DeWitt equation
The authors continue their investigation of approximation schemes for obtaining semiclassical Einstein equations with a backreaction, starting from the Wheeler-DeWitt equation. The analysis isExpand
Semiclassical Approximation for Gravity and the Issue of Back Reaction
Semiclassical approximations, which are useful in the study of a quantum system interacting with a classical system, are studied and compared. A toy quantum mechanical model with two degrees ofExpand
The timelessness of quantum gravity: II. The appearance of dynamics in static configurations
A strategy for quantization of general relativity is considered in the context of the `timelessness' of classical general relativity discussed in the preceding companion paper. The Wheeler--DeWittExpand
Derivation of the Ten Einstein Field Equations from the Semiclassical Approximation to Quantum Geometrodynamics
HIS work deals with the Hamilton-Jacobi equation for Einstein s theory of gravity. The aim is to show that all ten Einstein 6eld equations are a direct consequence of the principle of constructiveExpand
Loop Quantum Cosmology
TLDR
L loop quantum cosmology is an application of loop quantum gravity to homogeneous systems, which removes classical singularities and introduces the main effects of quantum effects into effective classical equations, which allow one to avoid the interpretational problems of quantum theory. Expand
The background field approximation in (quantum) cosmology
We analyse the Hamilton-Jacobi action of gravity and matter in the limit where gravity is treated at the background field approximation. The motivation is to clarify when the Wheeler-DeWitt equationExpand
Minisuperspace, matter and time
From the equation describing quantum gravity in the presence of matter for the case of scalar fields minimally coupled to a Friedman-Robertson-Walker spacetime, coupled equations describingExpand
Interacting vector fields in relativity without relativity
Barbour, Foster and O Murchadha have recently developed a new framework, called here the 3-space approach, for the formulation of classical bosonic dynamics. Neither time nor a locally MinkowskianExpand
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