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What is Dynamics in Quantum Gravity? | | Przemyslaw Malkiewicz
; | | Date: |
18 May 2015 | | Abstract: | Dynamics of general relativistic systems is given with respect to internal
clocks. We investigate the extent to which the choice of internal clock in
quantum description of the gravitational field determines the quantum dynamics.
We develop our method by making use of the Hamilton-Jacobi theory, which is
extended to include time coordinate transformations. Next, we apply our method
to a quantum model of the flat Friedmann universe and compute some
clock-induced deviations to semiclassical phase space portrait. Within a fixed
quantization we find the abundance of possible semiclassical extensions to
general relativity by switching between clocks. It follows that quantities like
minimal volume, maximal curvature and even a number of quantum bounces, often
used to describe quantum effects in gravity, are ill-defined. | | Source: | arXiv, 1505.4730 | | Services: | Forum | Review | PDF | Favorites | |
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