QUANTUM PHENOMENA AND THE ZEROPOINT RADIATION-FIELD

The stationary solutions for a bound electron immersed in the random z eropoint radiation field of stochastic electrodynamics are studied, un der the assumption that the characteristic Fourier frequencies of thes e solutions are not random. Under this assumption, the response of the particle to the field is linear and does not mix frequencies, irrespe ctively of the form of the binding force; the fluctuations of the rand om field fix the scale of the response. The effective radiation field that supports the stationary states of motion is no longer the free va cuum field, but a modified form of it with new statistical properties. The theory is expressed naturally in terms of matrices (or operators) , and it leads to the Heisenberg equations and the Hilbert space forma lism of quantum mechanics in the radiationless approximation. The conn ection with the poissonian formulation of stochastic electrodynamics i s also established. At the end we briefly discuss a few important aspe cts of quantum mechanics,which the present theory helps to clarify.