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Gravitation as a Casimir effect. (English) Zbl 1170.83386

Summary: We describe how dispersion forces between two atoms in ordinary electromagnetism come about and how they may be derived. Then we introduce hypothetical particles interacting with a harmonic oscillator interaction potential. We demonstrate that in a system with this type of interacting particles the retarded dispersion interaction between composite particles varies as \(1/r\), i.e. just like the gravitational potential does. This demonstrates that gravitation can be a Casimir effect.

MSC:

83C45 Quantization of the gravitational field
81T05 Axiomatic quantum field theory; operator algebras
81T99 Quantum field theory; related classical field theories
81V17 Gravitational interaction in quantum theory
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References:

[1] DOI: 10.1103/PhysRev.73.360 · Zbl 0037.28103
[2] DOI: 10.1002/3527603166
[3] DOI: 10.1103/PhysRevLett.81.2858
[4] Heald M. A., Classical Electromagnetic Radiation (1995) · Zbl 0473.35001
[5] Casimir H. B. G., Proc. Kon. Akad, Wet. 51 pp 793–
[6] DOI: 10.1103/PhysRevA.59.1936
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