Abstract
Several stochastic situations in stochastic electrodynamics (SED) are analytically calculated from first principles. These situations include probability density functions, as well as correlation functions at multiple points of time and space, for the zero-point (ZP) electromagnetic fields, as well as for ZP plus Planckian (ZPP) electromagnetic fields. More lengthy analytical calculations are indicated, using similar methods, for the simple harmonic electric dipole oscillator bathed in ZP as well as ZPP electromagnetic fields. The method presented here makes an interesting contrast to Feynman’s path integral approach in quantum electrodynamics (QED). The present SED approach directly entails probabilities, while the QED approach involves summing weighted paths for the wave function.
Highlights
This article is largely intended for providing a new calculational method for deducing the stochastic properties of electromagnetic radiation and classical charged particles in the theory called stochastic electrodynamics (SED)
Boyer made a strong argument [9] that SED is the best classical physical theory for describing physical phenomena, as it contains a range of quantum mechanics (QM) and quantum electrodynamics (QED) predictions, in addition to the expected classical physics
We will begin the calculations in this article by determining the probability density functions for various stochastic properties of the classical electromagnetic ZP radiation fields in SED, as well as the zero-point plus Planckian (ZPP) fields
Summary
This article is largely intended for providing a new calculational method for deducing the stochastic properties of electromagnetic radiation and classical charged particles in the theory called stochastic electrodynamics (SED). Boyer made a strong argument [9] that SED is the best classical physical theory for describing physical phenomena, as it contains a range of QM and QED predictions, in addition to the expected classical physics These QT predictions by SED are remarkable, not just in their prediction via classical physics, and that the supposed faults of classical physics, such as the collapse of Rutherford’s orbital model of the atom, or no explanation for van der Waals or Casimir forces, are “repaired” by taking into account the full interaction between classical charges and classical electromagnetic radiation. The point is made that a similar situation existed for the Feynman path integral approach
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