Inertia of Casimir energy

Details Inertia of Casimir energy Inertia of Casimir energy

2001-01-17

arxiv.org/abs/quant-ph/0101082v1

Journal de Physique I 3 (1993) 1093-1104

Physics

Quantum Physics

10 pages

Scientific paper

10.1051/jp1:1993258

Moving mirrors are submitted to reaction forces by vacuum fields. The motional force is known to vanish for a single mirror uniformly accelerating in vacuum. We show that inertial forces (proportional to accelerations) arise in the presence of a second scatterer, exhibiting properties expected for a relative inertia: the mass corrections depend upon the distance between the mirrors, and each mirror experiences a force proportional to the acceleration of the other one. When the two mirrors move with the same acceleration, the mass correction obtained for the cavity represents the contribution to inertia of Casimir energy. Accounting for the fact that the cavity moves as a stressed rigid body, it turns out that this contribution fits Einstein's law of inertia of energy.

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