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Phys. Rev. D 76, 025004 (2007) [4 pages]

How does Casimir energy fall?

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Stephen A. Fulling1,*, Kimball A. Milton2,†, Prachi Parashar2, August Romeo3, K. V. Shajesh2, and Jef Wagner2
1Departments of Mathematics and Physics, Texas A&M University, College Station, Texas 77843-3368, USA
2Oklahoma Center for High-Energy Physics and Homer L. Dodge Department of Physics and Astronomy, University of Oklahoma, Norman, Oklahoma 73019-2061, USA
3Societat Catalana de Física, Laboratori de Física Matemàtica (SCF-IEC), 08028 Barcelona, Catalonia, Spain

Received 12 February 2007; published 6 July 2007

Doubt continues to linger over the reality of quantum vacuum energy. There is some question whether fluctuating fields gravitate at all, or do so anomalously. Here we show that, for the simple case of parallel conducting plates, the associated Casimir energy gravitates just as required by the equivalence principle, and that therefore the inertial and gravitational masses of a system possessing Casimir energy Ec are both Ec/c2. This simple result disproves recent claims in the literature. We clarify some pitfalls in the calculation that can lead to spurious dependences on the coordinate system.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.76.025004
DOI:
10.1103/PhysRevD.76.025004
PACS:
03.70.+k, 03.65.Sq, 04.20.Cv, 04.25.Nx

*fulling@math.tamu.edu; http://www.math.tamu.edu/~fulling/

milton@nhn.ou.edu; http://www.nhn.ou.edu/~milton/