On the Physical Nature of the de Broglie Wave

J. W. G. Wignall

Augusto Garuccio, Karl Raimund Popper, Jean Pierre Vigier

Jingzheng Qin, Simon Berkovich

Luís Filipe T. Dias Ferreira

Despite their author, de Broglie waves for ordinary (bradyonic) particles are often considered without physical signication, mainly because they are tachyonic. I revisit some of de Broglie’s original ideas and discuss the standard approach to the problem, the \wave packet overlapped to a de Broglie wave. Using Pseudotachyonic Theory, it’s easy to conclude that this tachyonic wave actually exists but may only be detected with the same velocity of its associated particle. Furthermore, in what comes to \dualities, it appears that wave and particle are not two aspects of the same thing but instead two different though intimately correlated entities. These reections concern the physical nature of de Broglie waves, including particles \internal vibration, and lead to the premises of a new general Field Theory. Including positive as well as negative

A. Komjáthy

Daniel Shanahan

In his famous doctoral dissertation, de Broglie assumed that a massive particle is surrounded in its rest frame by a standing wave. He argued that as observed from another inertial frame this wave becomes the superluminal wave now known as the de Broglie wave. It is shown here that under a Lorentz transformation, such a standing wave becomes, not the de Broglie wave, but a modulated wave moving at the velocity of the particle. It is the modulation that has the superluminal velocity of the de Broglie wave and should be recognized as the true de Broglie wave. De Broglie's demonstrations relied, variously, on his "theorem of the harmony of phases", on a mechanical model, and on a spacetime diagram. It is shown that in each case the underlying wave was inadvertently suppressed. Identified as a modulation, the de Broglie wave acquires a physically reasonable ontology, avoiding the awkward device of recovering the particle velocity from a superposition of such waves. The deeper wave structure implied by this de Broglie wave must also impinge on such issues in quantum mechanics as the meaning of the wave function and the nature of wave-particle duality.