Vacuum fluctuations, accelerated motion and conformal frames

Abstract

Radiation from a mirror moving in vacuum electromagnetic fields is shown to vanish in the case of a uniformly accelerated motion. Such motions are related to conformal coordinate transformations, which preserve correlation functions characteristic of vacuum fluctuations. As a result, vacuum fluctuations remain invariant under reflection upon a uniformly accelerated mirror, which therefore does not radiate and experiences no radiation reaction force. Mechanical effects of vacuum fluctuations thus exhibit an invariance with respect to uniformly accelerated motions.

7 pages

References in corpus (4)

• Fluctuations and dissipation for a mirror in vacuum
• Quantum fluctuations of position of a mirror in vacuum
• Inertia of Casimir energy
• Quantum fluctuations of vacuum stress tensors and spacetime curvatures

Cited by in corpus (8)

• Dynamical Casimir Effect in a Leaky Cavity at Finite Temperature
• Movement and Fluctuations of the Vacuum
• Space-Time Localisation with Quantum Fields
• Conformal Symmetry and Quantum Relativity
• Quantum Effects in the Presence of Expanding Semi-Transparent Spherical Mirrors
• Time-Frequency Transfer with Quantum Fields
• Mass as a Relativistic Quantum Observable
• Quantum vacuum fluctuations