Movement and fluctuations of the vacuum
- 1 September 1997
- journal article
- Published by IOP Publishing in Reports on Progress in Physics
- Vol. 60 (9), 863-887
- https://doi.org/10.1088/0034-4885/60/9/001
Abstract
Quantum fields possess zero-point or vacuum fluctuations which induce mechanical effects, namely generalized Casimir forces, on any scatterer. Symmetries of vacuum therefore raise fundamental questions when confronted with the principle of relativity of motion in vacuum. The specific case of uniformly accelerated motion is particularly interesting, in connection with the much debated question of the appearance of vacuum in accelerated frames. The choice of Rindler representation, commonly used in general relativity, transforms vacuum fluctuations into thermal fluctuations, raising difficulties of interpretation. In contrast, the conformal representation of uniformly accelerated frames fits the symmetry properties of field propagation and quantum vacuum and thus leads us to extend the principle of relativity of motion to uniform accelerations. Mirrors moving in vacuum with a non-uniform acceleration are known to radiate. The associated radiation reaction force is directly connected to fluctuating forces felt by motionless mirrors through fluctuation - dissipation relations. Scatterers in vacuum undergo a quantum Brownian motion which describes irreducible quantum fluctuations. Vacuum fluctuations impose ultimate limitations on measurements of position in space - time, and thus challenge the very concept of space - time localization within a quantum framework. For test masses greater than Planck mass, the ultimate limit in localization is determined by gravitational vacuum fluctuations. Not only positions in space - time, but also geodesic distances, behave as quantum variables, reflecting the necessary quantum nature of an underlying geometry.Keywords
This publication has 100 references indexed in Scilit:
- Quantum spacetime fluctuations and primary state diffusionProceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1995
- q-deformation of Poincaré algebraPhysics Letters B, 1991
- On the fluctuations of the Casimir forceJournal of Physics A: General Physics, 1991
- Nonstationary Casimir effect and oscillator energy level shiftPhysics Letters A, 1989
- Quantum gravity and the collapse of the wavefunctionPhysics Letters B, 1989
- Differential calculus on compact matrix pseudogroups (quantum groups)Communications in Mathematical Physics, 1989
- Compact matrix pseudogroupsCommunications in Mathematical Physics, 1987
- Limitations on the operational definition of spacetime events and quantum gravityClassical and Quantum Gravity, 1987
- Squeezed LightJournal of Modern Optics, 1987
- The wave equation in conformal spaceMathematical Proceedings of the Cambridge Philosophical Society, 1936