Fields and wave-particle reciprocity as changes in an elastic medium: The ether
Maxwell and Einstein presumed the existence of an ether. In a previous publication, we showed that the Maxwell electrodynamics ensues from an elasticity theory where the elastic medium is the ether denoted Œ of which the field of the displacement of its points is denoted ξ . These results stimulated us to investigate the physical common nature of the fields and of the particles that eliminate
the contradiction and the inconsistency cited by Einstein. To this purpose, we extended this elastic interpretation to the case where the particles can be massive and electrically charged in a gravitational field and an electromagnetic (EM) field. This extension is achieved by showing
that the Lagrange‐Einstein function L G
of such a particle in such fields, not only yields the particle four-motion equation, but also is such that φ
, defined by d φ /
dt = L G
, is the phase of a wave associated to these particles. To the particles are therefore associated waves of phase φ
, denoted ξ that generalize the EM waves. We show that like the EM waves, the waves ξ must be propagated in Œ, since when m tends toward zero, a ξ wave becomes an EM wave. It follows that a ξ
wave is also a field of the displacements of the points of Œ. The ξ waves are of phase velocity V P
and are the solution of an equation that generalizes the EM wave equation, where in particular as we show, the particle trajectory equation generalizes the light ray equation, the fields, and ds are modification of the elastic rotation restoring coefficient of Œ which is itself proportional
to V P
2 . Then we show that a specific sum of ξ
waves forms a globule that moves like the particle and contains all its parameters and reciprocally that a ξ
wave is a sum of such globules, i.e., of particles, we call this property “wave-particle reciprocity property.” This property and the elastic nature of particles and of fields that are in accordance with Maxwell's and Einstein's ideas suppress the inconsistency cited
by Einstein, and provide a physical interpretation of the quantum mechanics, the duality EM waves-photons that explains the particle photon behavior that causes, e.g., the photo-electric effect.
Keywords: Ether as an Elastic Medium; Generalization of the Electromagnetic Waves; LagrangeāEinstein Function; Particles and Fields as Changes of the Ether; Space as a General Relativistic Ether
Document Type: Research Article
Publication date: 08 June 2013
- Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
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