Extended wave-particle description of longitudinal photons

Abstract

On the basis of the two-wave particle model, the nonlinear wave hypothesis and the tachyonic theory of elementary particle structure, the propagation of electromagnetic fields in phase-locked cavities and waveguides has been investigated. It is shown that in a pull-phase-locked cavity, a Doppler-shifted radiation may be considered as a nonlinear system of time-like and space-like waves which lock to form the plane photo-like wave. In the particle picture, it may be interpreted as photon conversion into a system composed of both bradyonic and tachyonic components which trap each other in a relativistically invariant way. The considerations are extended to include the case of radiation transmitted inside waveguides. The relativistic mechanics and field description of longitudinal massive photons associated with trapped radiation have been developed. The time-like Proca wave equation and its space-like counterpart are derived.