Stochastic electrodynamics with particle structure Part I: Zero-point induced Brownian behavior

1993 ◽  
Vol 6 (1) ◽  
pp. 75-108 ◽  
Author(s):  
A. Rueda
Keyword(s):  
Zero Point ◽  
Particle Structure ◽  
Stochastic Electrodynamics

scholarly journals Probability Calculations Within Stochastic Electrodynamics

2021 ◽  
Vol 8 ◽  
Author(s):  
Daniel C. Cole
Keyword(s):  
Electromagnetic Fields ◽  
First Principles ◽  
Quantum Electrodynamics ◽  
Zero Point ◽  
Probability Density Functions ◽  
Integral Approach ◽  
Multiple Points ◽  
Stochastic Electrodynamics ◽  
Dipole Oscillator ◽  
Weighted Paths

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.

scholarly journals Energy Considerations of Classical Electromagnetic Zero-Point Radiation and a Specific Probability Calculation in Stochastic Electrodynamics

Atoms ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 50
Author(s):  
Daniel C. Cole
Keyword(s):  
Radiation Field ◽  
Quantum Electrodynamics ◽  
Zero Point ◽  
New Method ◽  
Stochastic Electrodynamics ◽  
Probability Calculation

The zero-point (ZP) radiation field in stochastic electrodynamics (SED) is considered to be formally infinite, or perhaps bounded by mechanisms yet to be revealed someday. A similar situation holds in quantum electrodynamics (QED), although there the ZP field is considered to be “virtual”. The first part of this article addresses the concern by some about the related disturbing concept of “extracting energy” from this formally, enormous source of energy. The second part of this article introduces a new method for calculating probabilities of fields in SED, which can be extended to linear oscillators in SED.

VERY LONG DECAY TIME FOR ELECTRON VELOCITY DISTRIBUTION IN SEMICONDUCTORS, AND CONSEQUENT 1/f NOISE

2007 ◽  
Vol 07 (03) ◽  
pp. L193-L207 ◽  
Author(s):  
GIANCARLO CAVALLERI ◽  
ERNESTO TONNI ◽  
LEONARDO BOSI ◽  
GIANFRANCO SPAVIERI
Keyword(s):  
Planck Equation ◽  
Zero Point ◽  
Small Sample ◽  
Electron Velocity ◽  
Electron Velocity Distribution ◽  
Stochastic Electrodynamics ◽  
Power Spectral ◽  
Electron Speed ◽  
Point Field ◽  
The One

The Boltzmann equation with electron-electron (e − e) interactions has been reduced to a Fokker-Planck equation (e − e FP ) in a previuos paper. In steady-state conditions, its solution q0(v) (where v is the electron speed) depends on the square of the acceleration a = eE/m. If we introduce the nonrenormalized zero-point field (ZPF) of QED, i.e., the one considered in stochastic electrodynamics, so that [Formula: see text], then q0(v) becomes similar to the Fermi-Dirac equation, and the two collision frequencies ν1(v) and ν2(v) appearing in the e − e FP become both proportional to 1/v in a small δv interval. The condition ν1(v) ∝ ν2(v) ∝ 1/v is at the threshold of the runaways. In the same δv range, the time-dependent solution q0(v,τ) of the e − e FP decays no longer exponentially but according to a power law ∝ τ− ɛ where 0.004 < ɛ < 0.006, until τ → ∞. That extremely long memory of a fluctuation implies the same dependence τ − ɛ for the conductance correlation function, hence a corresponding power-spectral noise S(f) ∝ fɛ−1 where f is the frequency. That behaviour is maintained even for a small sample because the back diffusion velocity of the electrons in the effective range δv, where they are in runaway conditions, is much larger than the drift velocity.

scholarly journals The Role of Vacuum Fluctuations and Symmetry in the Hydrogen Atom in Quantum Mechanics and Stochastic Electrodynamics

Atoms ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 39
Author(s):  
G. Maclay
Keyword(s):  
Electromagnetic Field ◽  
Hydrogen Atom ◽  
Casimir Effect ◽  
Classical Mechanics ◽  
Zero Point ◽  
Radiation Reaction ◽  
Quantum Mechanical ◽  
Vacuum Fluctuations ◽  
Stochastic Electrodynamics

Stochastic Electrodynamics (SED) has had success modeling black body radiation, the harmonic oscillator, the Casimir effect, van der Waals forces, diamagnetism, and uniform acceleration of electrodynamic systems using the stochastic zero-point fluctuations of the electromagnetic field with classical mechanics. However the hydrogen atom, with its 1/r potential remains a critical challenge. Numerical calculations have shown that the SED field prevents the electron orbit from collapsing into the proton, but, eventually the atom becames ionized. We look at the issues of the H atom and SED from the perspective of symmetry of the quantum mechanical Hamiltonian, used to obtain the quantum mechanical results, and the Abraham-Lorentz equation, which is a force equation that includes the effects of radiation reaction, and is used to obtain the SED simulations. We contrast the physical computed effects of the quantized electromagnetic vacuum fluctuations with the role of the real stochastic electromagnetic field.

scholarly journals Extraction of Zero-Point Energy from the Vacuum: Assessment of Stochastic Electrodynamics-Based Approach as Compared to Other Methods

Atoms ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 51 ◽  
Author(s):  
Garret Moddel ◽  
Olga Dmitriyeva
Keyword(s):  
Detailed Balance ◽  
Zero Point ◽  
Zero Point Energy ◽  
Stochastic Electrodynamics ◽  
Point Energy ◽  
The Third ◽  
Point Field ◽  
Nonlinear Processing ◽  
Mechanical Extraction ◽  
Energy From The Vacuum

In research articles and patents several methods have been proposed for the extraction of zero-point energy from the vacuum. None of the proposals have been reliably demonstrated, yet they remain largely unchallenged. In this paper the underlying thermodynamics principles of equilibrium, detailed balance, and conservation laws are presented for zero-point energy extraction. The proposed methods are separated into three classes: nonlinear processing of the zero-point field, mechanical extraction using Casimir cavities, and the pumping of atoms through Casimir cavities. The first two approaches are shown to violate thermodynamics principles, and therefore appear not to be feasible, no matter how innovative their execution. The third approach, based upon stochastic electrodynamics, does not appear to violate these principles, but may face other obstacles. Initial experimental results are tantalizing but, given the lower than expected power output, inconclusive.

scholarly journals Dynamics Underlying the Gaussian Distribution of the Classical Harmonic Oscillator in Zero-Point Radiation

2013 ◽  
Vol 2013 ◽  
pp. 1-19 ◽  
Author(s):  
Wayne Cheng-Wei Huang ◽  
Herman Batelaan
Keyword(s):  
Probability Distribution ◽  
Harmonic Oscillator ◽  
Uncertainty Relation ◽  
Zero Point ◽  
Simulation Method ◽  
Vacuum Field ◽  
Stochastic Electrodynamics ◽  
Validity Range ◽  
Gaussian Probability Distribution ◽  
Dynamical Information

Stochastic electrodynamics (SED) predicts a Gaussian probability distribution for a classical harmonic oscillator in the vacuum field. This probability distribution is identical to that of the ground state quantum harmonic oscillator. Thus, the Heisenberg minimum uncertainty relation is recovered in SED. To understand the dynamics that give rise to the uncertainty relation and the Gaussian probability distribution, we perform a numerical simulation and follow the motion of the oscillator. The dynamical information obtained through the simulation provides insight to the connection between the classic double-peak probability distribution and the Gaussian probability distribution. A main objective for SED research is to establish to what extent the results of quantum mechanics can be obtained. The present simulation method can be applied to other physical systems, and it may assist in evaluating the validity range of SED.

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