Abstract
An analysis is briefly presented of the possible causes of the failure of stochastic electrodynamics (SED) when applied to systems with nonlinear forces, on the basis that the main principles of the theory are correct. In light of this analysis, an alternative approach to the theory is discussed, whose postulates allow to establish contact with quantum mechanics in a natural way. The ensuing theory, linear SED, confirms the essential role of the vacuum–particle interaction as the source of quantum phenomena.
Similar content being viewed by others
References
A large number of papers deal with the subject. References to them can be found in Refs. 2, 3 and 4.
T. H. Boyer, in Foundations of Radiation Theory and Quantum Electrodynamics, A. O. Barut, ed. (Plenum, London, 1980).
L. de la Peña, in Stochastic Processes Applied to Physics and Other Related Fields, Proceedings of the Latin American School of Physics (Cali, Colombia, 1982); B. Gómez, S. M. Moore, A. M. Rodríguez-Vargas, A. Rueda, eds. (World Scientific, Singapore, 1983).
de la Peña L., Cetto A.M. (1996). The Quantum Dice. An Introduction to Stochastic Electrodynamics. Kluwer, Dordrecht
E. Santos, Eur. Phys. J. D 22, 423 (2003) (see also quant-ph/0204020); Phys. Rev. A 69, 022305 (2004) (or quant-ph/0301171).
T. W. Marshall, E. Santos, and A. Vidiella-Barranco, in Proceedings of the Third International Workshop on Squeezed States and Uncertainty Relations, D. Han et al., eds. NASA Conf. Publ. Series no. 3270, 1994, p. 581; T. W. Marshall and E. Santos, Recent Res. Dev. Opt. 2, 683 (2002).
D. C. Cole and Y. Zou, Phys. Lett. A 317, 14 (2003); Phys. Rev. E 69, 016601 (2004); J. Sci. Comput. 21, 145 (2004) and references therein. See, comments T. H. Boyer, Found. Phys. Lett. 16, 613 (2003) and P. W. Milonni, Found. Phys. Lett. 16, 619 (2003).
S. Chandrasekhar, Rev. Mod. Phys. 15, 1 (1943). Reprinted in Selected Papers on Noise and Stochastic Processes , N. Wax, ed. (Dover, New York, 1954).
L. de la Peña, A.M. Cetto, Found. Phys. 24, 917 (1994); 25, 573 (1995).
L. de la Peña and A. M. Cetto, in New Perspectives on Quantum Mechanics, Proceedings of the Latin-American School of Physics, XXXI ELAF,Mexico City, July–August 1998. AIP Conf. Proc. 464 (American Institute of Physics, New York, 1999).
Nernst W. (1916). Verhandl. Deutsch. Phys. Ges. 18, 83 Appendix
van Vleck H., Huber D.L. (1977). Rev. Mod. Phys. 40, 939
R. Blanco, L. Pesquera, and E. Santos, Phys. Rev. D 27, 1254 (1983); 29, 2240 (1984).
Papoulis A. (1965). Probability, Random Variables, and Stochastic Processes. McGraw-Hill, Tokyo
Dalibard J., Dupont-Roc J., Cohen-Tannoudji C. (1982). J. Phys. 43: 1617
L. de la Peña and A. M. Cetto, “Contribution from stochastic electrodynamics to the understanding of quantum mechanics,” quant-ph/0501011.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Peña, L.d.l., Cetto, A.M. The Foundations of Linear Stochastic Electrodynamics. Found Phys 36, 350–368 (2006). https://doi.org/10.1007/s10701-005-9020-1
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10701-005-9020-1