Quantum Theory and Linear Stochastic Electrodynamics
Luis de la Peña · Ana María Cetto
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In one page
Luis de la Peña and Ana María Cetto, at the Institute of Physics of the National Autonomous University of Mexico, spent their careers on a question most physicists set aside: where does quantum behaviour come from? Their answer is stochastic electrodynamics — treat the zero-point field of the vacuum as a real, ever-present radiation bath and let matter be in permanent interaction with it. Here they set out the main results of the linear form of that theory, starting from a reformulation of its basic assumptions. The departure from the older work is the key move: the particle does not merely sit in the field, it changes the statistical properties of the field around it. As the system settles into the quantum regime, correlations appear between field modes at particular characteristic frequencies, and those frequencies turn out to be the transition frequencies of quantum mechanics, tied directly to energy quantization. From this the authors recover the Heisenberg equations of motion of non-relativistic quantum electrodynamics, then weigh what their approximations cost.
Why it matters hereChapter 2 argues that the vacuum is a real structured medium rather than an empty stage, and this is the strongest form of that argument: quantization itself is derived as an effect of matter in permanent exchange with the zero-point field. Chapter 13 needs exactly that kind of unification — one field underneath quantum mechanics, inertia and gravity — and de la Peña and Cetto supply the quantum half of it in the literature, not in a manifesto.
What it claims
01Linear stochastic electrodynamics shares with stochastic electrodynamics the core assumption that quantization comes about from the permanent interaction between matter and the vacuum radiation field. Quantum behaviour is treated as an effect of a real physical field, not as an axiom placed at the start.Abstract, sentence 2; Foundations of Physics 31, 1703 (2001)
Published and peer-reviewed02The theory departs from earlier stochastic electrodynamics in considering the effect that the matter-field interaction has on the statistical properties of the nearby field. The vacuum field is not a fixed background the particle is immersed in; the particle reshapes the statistics of the field around it, and that back-reaction carries the physics.Abstract, sentence 2, the clause on departure
Published and peer-reviewed03In the transition to the quantum regime, correlations arise between field modes of well-defined characteristic frequencies. Those frequencies coincide with the transition frequencies of quantum mechanics and are therefore directly related to energy quantization — the discreteness comes out of the field correlations rather than being imposed.Abstract, sentence 3
Published and peer-reviewed04From that starting point the authors obtain the Heisenberg equations of motion of non-relativistic quantum electrodynamics. The formal machinery of quantum theory is recovered as a result of the derivation rather than assumed as its premise.Abstract, sentence 4
Published and peer-reviewed05The paper includes a detailed consideration of the significance of the approximations made in reaching that result, followed by a discussion of some of the most delicate or controversial features of quantum mechanics from the perspective the theory provides.Abstract, final sentence
Published and peer-reviewed06What to watch: how far the linear approximation reaches. The programme is built out in the authors’ own earlier work, cited here — their 1996 book The Quantum Dice and their 1999 account of the physics behind quantum theory — and their reference list places it alongside Boyer’s vacuum-field derivations, Marshall and Santos, and the Puthoff, de la Peña and Cetto paper on Planck’s constant and Hubble’s constant. The result that would settle the question is a place where matter in permanent exchange with the zero-point field predicts something measurably different from standard quantum electrodynamics.Reference list, entries 1, 2, 4, 5 and 14
What to watch
The way in
https://doi.org/10.1023/a:1012670800317SOURCE NOT REACHED IN FULL. The article is held closed by the publisher: Unpaywall, OpenAlex and Semantic Scholar all report no open version on 2026-09-08, no preprint of it is on arXiv, and no Creative Commons statement exists anywhere on the record. So no text of the article is reproduced here. The summary and claims are written from the authors’ own abstract as published on the article’s landing page, together with the article’s reference list read from the same page and the Crossref record: Foundations of Physics, volume 31, issue 12, pages 1703 to 1731, December 2001, both authors at the Instituto de Física of the Universidad Nacional Autónoma de México. Locators therefore point to sentences of the abstract and to numbered references rather than to sections of the article.
How to cite it
Luis de la Peña, Ana María Cetto (2001) Quantum Theory and Linear Stochastic Electrodynamics. doi:10.1023/a:1012670800317
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