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Annals of the New York Academy of Sciences

Towards a Stochastic Classical Theory of the Particle Behavior of Light

Trevor W. Marshall, Emilio Santos

Published Dec 1, 1986• 5 citations
Publisher
DOI
10.1111/j.1749-6632.1986.tb12441.x

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The wave-particle duality is one of the most mysterious phenomena of the quantum theory, in this paper first it's studied the rise of the wave properties of matter from the theory of stochastic electrodynamics (SED), in which de Broglie's idea of a guiding wave that follows the particle and determine its trajectory is taken back. In the frame of the theory (SED) this wave is of electromagnetic character and is a traveling wave that propagates within the zero point field (ZPF) which according the SED is a classic electromagnetic field that permeates all universe. The wave rise from the interaction between the background field and the particle that moves with certain velocity. Then, I expose the results of numerical simulations in which the behavior of the ZPF in a two slit diffraction experiment is calculated and a series of macroscopic experiments that shows behaviors similar to the ones described by the SED. Both, simulations and experiments give us a better physical understanding of the guiding wave and of the wave properties of quantum particles
Stochastic processes are shown to emerge from the time evolution of complex quantum systems. Using parametric, banded random matrix ensembles to describe a quantum chaotic environment, we show that the dynamical evolution of a particle coupled to such environments displays a variety of stochastic behaviors, ranging from turbulent diffusion to Lévy processes and Brownian motion. Dissipation and diffusion emerge naturally in the stochastic interpretation of the dynamics. This approach provides a derivation of a fractional kinetic theory in the classical limit and leads to classical Lévy dynamics.
In the perspective of classical theory it is the ability of light to interfere and diffract which above all prevents us from believing that light consists of a sort of classical particles, perhaps pointlike. Even if we took the standpoint that propagating light fields in free space did consist of streams of pointlike entities, these can certainly not be robust in their interaction with material particles, although this was suggested by the scientist G. N. Lewis who in 1926 coined the name photon for Einstein’s light quanta [144]. Despite the fact that the idea of the existence of uncreatible and indestructible “light atoms” has turned out to be untenable, the theory of classical optics shows reminiscences of particle behavior in situations where the finite wavelength of light is negligible.