The wave properties of matter and the zeropoint radiation field

Luis de la Peña, Ana Marı́a Cetto

Ana Marı́a Cetto, Luis de la Peña

Emilio Santos

I assume that everywhere in space there is a real random electromagnetic radiation, or zeropoint field (ZPF), which looks similar for all inertial observers, so that the stochastic properties of the field should be Lorentz invariant. This fixes the spectrum except for a single adjustable parameter measuring the scale, which is identified with Planck's constant, so making the ZPF identical to the quantum electromagnetic vacuum. Photons are just fluctuations of the random field or, equivalently, wavepackets in the form of needles of radiation superimposed to the ZPF. Two photons are "classically correlated" if the correlation involves just the intensity above the average energy of the ZPF, but they are "entangled" if the ZP fields in the neighbourhood of the photons are also correlated. These assumptions may explain all quantum optical phenomena involving radiation and macroscopic bodies, provided the latter may be treated as classical. That is, we have an interpretation of quantization for light but not for matter. Detection of photons involves subtracting the ZPF, which cannot be made without a fundamental uncertainty. This explains why photon counters cannot be manufactured with 100% efficiency and no noise (dark rate), which prevents the violation of a genuine Bell inequality (this is the so-called detection loophole). The theory thus obtained agrees very closely with standard quantum optics if this is formulated in the Wigner representation.

Luis de la Peña, Ana Marı́a Cetto

Preface. Part I: Prelude. 1. Quantum mechanics and the real world. 2. Quantum mechanics as a stochastic theory. 3. Elements of electrodynamics. Part II: Theme. 4. The zeropoint radiation field. 5. The equilibrium radiation field. 6. Environmental effects through the zero-point field. 7. The harmonic oscillator. 8. Quantum properties of other simple systems. 9. Breakdown of detailed energy balance. Part III: Coda. 10. Linear stochastic electrodynamics. 11. Radiative corrections in linear SED. 12. The wave properties of matter. 13. Stochastic optics. 14. Outlook and some corollaries. Bibliography. Index.

Luis de la Peña, Ana Marı́a Cetto

Luis de la Peña, Ana Marı́a Cetto

In this chapter, which covers part of the course given at ELAF, a straight-forward procedure is presented that leads from the basic postulates of stochastic electrodynamics to the usual formalism of quantum theory. The theory thus developed is called linear stochastic electrodynamics, to underline that one of its basic features is the (asymptotic) linear response of atomic systems to the background field. The chapter starts with a brief discussion of some open questions in quantum theory and of the possibility to find an answer to them by resorting to the zeropoint radiation field as the source of the quantum behavior of matter. The basic properties of this field are discussed, and a brief enumeration is made of some of the positive results and vital shortcomings of standard stochastic electrodynamics. After identifying the source of these shortcomings in the assumption that the background field is not altered by its interaction with matter, linear stochastic electrodynamics is developed and shown to lead, under certain approximations, to a consistent picture of both matter and field quantization. In the concluding part, it is shown that also the electron spin can be considered to be generated by the interaction of the particle with the zeropoint field; in particular, the two-valuedness of the spin projection is associated with the existence of just two independent states of polarization of the field.