Time dependent perturbation theory from Wheeler De Witt solutions
arXiv:gr-qc/9610045 · doi:10.1016/S0550-3213(97)80043-0
Abstract
We describe radiative processes in Quantum Cosmology, from the solutions of the Wheeler De Witt equation. By virtue of this constraint equation, the quantum propagation of gravity is modified by the matter interaction hamiltonian at the level of amplitudes. In this we generalize previous works where gravity was coupled only to expectation values of matter operators. By a ``reduction formula'' we show how to obtain transition amplitudes from the entangled gravity+matter system. Then we show how ``each'' transition among matter constituents of the universe determines dynamically ``its'' background from which a time parameter is defined. Finally, we leave the mini-superspace context by introducing an extended formalism in which the momenta of the exchanged quanta no longer vanish. Then, the concept of spatial displacement emerges from radiative processes like the time parametrization did, thereby unifying the way by which space and time intervals are recovered in quantum cosmology.
24 pages, latex, no figures
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Cited by in corpus (11)
- Analogue Gravity
- Horizon Entropy
- How the Change in Horizon Area Drives Black Hole Evaporation
- Wheeler-DeWitt equation and Feynman diagrams
- Particle creation and non-adiabatic transitions in quantum cosmology
- The interpretation of the solutions of the Wheeler De Witt equation
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- Time dependent Green functions from Wheeler De Witt solutions
- Unitary and non-unitary transitions around a cosmological bounce