Time Uncertainty in Quantum Gravitational Systems

Details Time Uncertainty in Quantum Gravitational Systems Time Uncertainty in Quantum Gravitational Systems

2003-11-21

arxiv.org/abs/gr-qc/0311073v2

Phys.Rev. D69 (2004) 044017

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

(4 pages, no figures) Accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.69.044017

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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