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Time Uncertainty in Quantum Gravitational Systems

J. Fernando Barbero G.·Guillermo A. Mena Marugan·Eduardo J. S. Villaseñor
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Abstract

It is generally argued that the combined effect of Heisenberg principle and general relativity leads to a minimum time uncertainty. Most of the analyses supporting this conclusion are based on a perturbative approach to quantization. We consider a simple family of gravitational models, including the Einstein-Rosen waves, in which the (non-linearized) inclusion of gravity changes the normalization of time translations by a monotonic energy-dependent factor. In these circumstances, it is shown that a maximum time resolution emerges non-perturbatively only if the total energy is bounded. Perturbatively, however, there always exists a minimum uncertainty in the physical time.

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J. Fernando Barbero G., Guillermo A. Mena Marugan, Eduardo J. S. Villaseñor. 2004-01-14. Time Uncertainty in Quantum Gravitational Systems. https://doi.org/10.1103/physrevd.69.044017

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