Abstract
In previous works, Suppes and de Barros used a pure particle model to derive interference effects, where individual photons have well-defined trajectories, and hence no wave properties. In the present paper we extend that description to account for the Casimir effect. We consider that the linear momentum ∑ 1/2hk of the vacuum state in quantum electrodynamics corresponds to the linear momentum of virtual photons. The Casimir effect, in the cases of two parallel plates and the solid ball, is explained in terms of the pressure caused by the photons. Contrary to quantum electrodynamics, we assume a finite number of virtual photons.
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References
Abramowitz, M., and I.A. Stegun,Handbook of Mathematical Functions (Dover, New York, 1971).
Balian, R., and B. Duplantier, “Electromagnetic waves near perfect conductors I: Multiple scattering expansions. Distribution of modes,”Ann. Phys. 104, 300 (1977).
Balian, R., and B. Duplantier, “Electromagnetic waves near perfect conductors II: Casimir effect,”Ann. Phys. (N.Y.) 112, 165 (1978).
Barton, G., “On the fluctuations of the Casimir force”,J. Phys. A: Math. Gen. 24, 991 (1991a).
Barton, G., “On the fluctuations of the Casimir force II: The stress-correlation function,”J. Phys. A: Math. Gen. 24, 5533 (1991b).
Brevik, I., and G. Einevoll, “Casimir force on a solid ball when ε(ω)μ(ω)=1,”Phys. Rev. D37, 2977 (1988).
Brevik, I., and R. Sollie, “Casimir force on a spherical shell when ε(ω)μ(ω)=1,”J. Math. Phys. 31, 1445 (1990).
Casimir, H.B.G., “On the attraction between two perfectly conducting plates,”Proc. K. Ned. Akad. Wet. 51, 793 (1948).
Eberlein, C., “Fluctuations of Casimir forces on finite objects I: spheres and hemispheres,”J. Phys. A: Math. Gen. 25, 3015 (1992).
Milonni, P.W., R.J. Cook and M.E. Goggin, “Radiation pressure from the vacuum: physical interpretation of the Casimir force,”Phys. Rev. A38, 1621 (1988).
Milonni, P.W.,The Quantum Vacuum, An Introduction to Quantum Electrodynamics (Academic, New York, 1994).
Suppes, P., and J.A. de Barros, “A random-walk approach to interference,”Int. J. Theor. Phys. 33, 179 (1994a).
Suppes, P., and J.A. de Barros, “Diffraction with well-defined photon trajectories: A foundational analysis,”Found. Phys. Lett. 7, 501 (1994b).
Suppes, P., and J.A. de Barros, “Photons, billiards and chaos,” in the press (1996).
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Suppes, P., Sant'Anna, A.S. & de Barros, J.A. A particle theory of the Casimir effect. Found Phys Lett 9, 213–223 (1996). https://doi.org/10.1007/BF02186404
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DOI: https://doi.org/10.1007/BF02186404