An attempt is made to generalize the basic idea of the self-sufficient potential formalism in electrodynamics (interpretation of electromagnetic phenomena as natural or forced oscillations of the Minkowski spacetime treated as a distributed electromagnetic oscillating system) on the De Broglie waves. Both electrons and positrons are considered as excited modes (oscillations) of a distributed electron-positron oscillating system, not as “hard” particles. Thus, the matter waves are treated as real oscillations of the Minkowski spacetime, not as Born's “probability waves”.
An attempt is made to generalize the basic idea of the self-sufficient potential formalism in electrodynamics (interpretation of electromagnetic phenomena as natural or forced oscillations of the Minkowski spacetime treated as a distributed electromagnetic oscillating system) on the De Broglie waves. Both electrons and positrons are considered as excited modes (oscillations) of a distributed electron-positron oscillating system, not as “hard” particles. Thus, the matter waves are treated as real oscillations of the Minkowski spacetime, not as Born's “probability waves”.
The de Broglie wave phenomenon was studied in the framework of Lagrangean formulation of Relativistic Mechanics. The conclusion was made that the de Broglie wave of a particle is a relativistic phenomenon related to the field-dependent proper mass. The wave develops in a process of proper-to-kinetic mass transformation when the particle is given a momentum. The time-part of the 4-wave vector is related to the proper mass oscillation while the spacial part is due to the momentum; both parts can be treated in terms of virtual (longitudinal and scalar) photons characterizing excitation states of a mediating scalar field. It is shown that in Relativistic Mechanics with the variable proper mass both electromagnetic and gravitational force can be treated on the same footing: both are due to the same source that is, the proper mass. Consequently, the scalar mediating field provides a mechanism of unification of gravitational and electromagnetic forces. The concept of the unified divergence-free field is suggested, in which the real (transverse) photon represents a pure space-like particle while the neutrino is a pure time-like particle. In this connection, the parity problem is discussed.
In this article, it is shown that if a particle is at rest and has some harmonic oscillation, then a traveling particle with a constant speed corresponds to a De Broglie Wave.In 1924, De Broglie proposed that particles of matter exhibit wave like behavior, the expression for which became fundamental in the creation of wave mechanics (quantum mechanics).The main equation for this is the Schrödinger equation, which in the case of free motion of a particle becomes the expression for the De Broglie wave.This hypothesis is supported by many early experiments on the diffraction of electrons, and later the development of modern physics.However until now, the origin of this hypothesis remains unclear.We show that the expression for the De Broglie wavelength can be obtained from a more general well-known concept, that any particle at rest has a corresponding harmonic oscillation that transforms into a wave of a moving particle with the help of relativistic change of coordinates (the Lorentz transformations).In this way, a De Broglie wave can be explained as a spacetime wave.
From a Newtonian-Maxwellian solution for a perturbed vacuum with a physical structure constructed based on pivotal experimental observations, we have achieved a general scheme for the formation of basic material particles. A basic particle, which may be e.g. an electron, is composed of a tiny free aether-pole (a bare charge) and the mechanical wave disturbances -- identifying with electromagnetic waves -- generated by it in the medium. When in motion, as a result of a first kind source effect, this particle wave exhibits all of wave and dynamic properties known for a de Broglie wave, and is here called a Newton- de Broglie (NdB) particle wave. In a confined space, the Newtonian solution for the NdB particle wave is equivalent to that given by Schrodinger's quantum mechanics. Through this general scheme we have accomplished a basic task of the unification of the classical- and the quantum- mechanics, both in terms of the deduction of the latter from the former, and the convergence of the latter into the former at high velocities. Through completing the task, we unfold the origins of a series of phenomena including the electromagnetic waves, the electromagnetic radiation and absorption, atomic and thermal excitations, the inertial mass, the Schrodinger's wavefunction and de Broglie wave, the Heisenberg's uncertainty relation, the de Broglie relations, the simultaneous existence of electron and positron or generally of particles and their anti-particles, the (rest) mass-energy equivalence relation, etc. The general scheme facilitates also a Theory of Relative Motion which we present in a separate paper, II; a series of followed studies are planned. (An original report of the scheme with a Preface remarking on the changes in later publications.)
Maxwell matter waves emerge from a perspective, complementary to de Broglie's, that matter is fundamentally a wave phenomenon whose particle aspects are revealed by quantum mechanics. Their quantum mechanical description is derived through the introduction of a matter vector potential, having frequency ω0, to Schrodinger's equation for a massive particle. Maxwell matter waves are then seen to be coherent excitations of a single-mode of the matter-wave field. In the classical regime, their mechanics is captured by a matter analog of Maxwell's equations for the electromagnetic field. As such, Maxwell matter waves enable a spectrum of systems that have useful optical analogs, such as resonant matter-wave interferometric sensors and matter-wave parametric oscillators. These waves are associated with a wavelength that is tied to the drive frequency ω0 rather than to the massive particle's energy, as is ordinarily the case with de Broglie matter waves. As a result, simple interferometric measurements lead to different outcomes for the two types of waves. While their apparent departure from de Broglie character is surprising, Maxwell matter waves are wholly consistent with quantum mechanics.
The original wave theory proposed by de Broglie necessitates a stationary (localized) monochromatic plane wave of high frequency νo associated with particle. As particle moves the de Broglie wavelength appears as an observable (a relativistic effect). The nature and interpretation of high frequency oscillations remained unrevealed so far. This paper presents a self trapped circular Electromagnetic (EM) travelling wave model of Electron (specifically) and other charged particles generally. Curling EM wave is localized (stationary) and still a plane monochromatic travelling wave, against the customary wave packet approach, where number of frequencies are made to interfere to build a stationary localized wave-packet. The model reveals facts such as interpretation of wave function ψ (de Broglie wave) as a relativistic effect of a real wave function and removes the discrepancy of very high phase velocity (c 2 /v) associated with it. The model also incorporates zitterbewegung of electron and 4π rotation needed, for a complete round of wave cycle.
Statistical dependences of quantum phenomena substantial for advance in nanoelectronic technology are discussed basing on the interpretation of de Broglie matter waves as real oscillations of the generalized coordinates of some natural oscillatory systems with distributed parameters (NOSs). E.g., electrons are supposed to be excited wave packets of natural electron-positron oscillatory system (NEPOS), not hard particles; photons are wave packets of natural electromagnetic oscillatory system (NEMOS) and so on. The Wheeler-Feynman's concept of “direct interparticle action” is developed for both the quantum radiation-absorption and the Coulomb interaction. The spatio-temporal localization of the NOS wave packets and Heisenberg's “uncertainty principle” both are supposed to be results of the permanent stochastic exchange with action quanta between different NOSs (e.g., NEPOS and NEMOS) according to the general laws of the statistical physics. The basic principles of quantum statistics (probability laws for the stochastic exchange with action quanta between the wave packets of NEPOS and NEMOS in the Minkowski spacetime) are discussed. The new physical sense of de Broglie wavefunctions is illustrated with the simplest quantum systems. E.g., “free electron” is presumed as a spatially localized area (within its “interval of uncertainty”) filled with “pink noise” of NEPOS oscillations. The finite probability of harmonics with large spatial wavenumbers in spectra of NEPOS and NEMOS “wide” wavepackets makes scattering of high-energy electrons still possible creating outward appearance of “point particles” existence.