Quantum fluctuations of lightcone in 4-dimensional spacetime with parallel plane boundaries
arXiv:gr-qc/0308065 · doi:10.1103/PhysRevD.68.084019
Abstract
Quantum fluctuations of lightcone are examined in a 4-dimensional spacetime with two parallel planes. Both the Dirichlet and the Neumann boundary conditions are considered. In all the cases we have studied, quantum lightcone fluctuations are greater where the Neumann boundary conditions are imposed, suggesting that quantum lightcone fluctuations depend not only on the geometry and topology of the spacetime as has been argued elsewhere but also on boundary conditions. Our results also show that quantum lightcone fluctuations are larger here than that in the case of a single plane. Therefore, the confinement of gravitons in a smaller region by the presence of a second plane reinforces the quantum fluctuations and this can be understood as a consequence of the uncertainty principle.
Revtex, 14pages, no figures, to appear in PRD
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- Brownian motion of a charged test particle in vacuum between two conducting plates
- Quantum Lightcone Fluctuations in Compactified Spacetimes
- Brownian motion of a charged test particle near a reflecting boundary at finite temperature
- Electromagnetic shielding in quantum metrology
- Modification of energy shifts of atoms by the presence of a boundary in a thermal bath and the Casimir-Polder force
- Quantum interaction between two gravitationally polarizable objects in presence of boundaries
- Interaction between two gravitationally polarizable objects induced by thermal bath of gravitons
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- Energy shift and Casimir-Polder force for an atom out of thermal equilibrium near a dielectric substrate
- Resonance interaction between two entangled gravitational polarizable objects
- Manipulating lightcone fluctuations in an analogue cosmic string
- Lightcone fluctuations in a nonlinear medium due to thermal fluctuations