Shanahan, Daniel (2015) The de Broglie Wave as Evidence of a Deeper Wave Structure. [Preprint]

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Abstract

It is argued that the de Broglie wave is not the independent wave usually supposed, but the relativistically induced modulation of an underlying carrier wave that moves with the velocity of the particle. In the rest frame of the particle this underlying structure has the form of a standing wave. De Broglie also assumed the existence of this standing wave, but it would appear that he failed to notice its survival as a carrier wave in the Lorentz transformed wave structure. Identified as a modulation, the de Broglie wave acquires a physically reasonable ontology, evidencing a more natural unity between matter and radiation than might otherwise be contemplated, and avoiding the necessity of recovering the particle velocity from a superposition of such waves. Because the Schrödinger and other wave equations for massive particles were conceived as equations for the de Broglie wave, this interpretation of the wave is also relevant to such issues in quantum mechanics as the meaning of the wave function, the nature of wave-particle duality, and the possibility of well-defined particle trajectories.

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Item Type:	Preprint
Creators:	Creators Email ORCID Shanahan, Daniel danjune@bigpond.net.au
Keywords:	matter wave; wave packet; Schrödinger equation; wave-particle duality; wave function, particle trajectories
Subjects:	Specific Sciences > Physics > Classical Physics General Issues > History of Philosophy of Science Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances General Issues > Thought Experiments
Depositing User:	Mr Daniel Shanahan
Date Deposited:	09 Aug 2015 13:57
Last Modified:	09 Aug 2015 13:57
Item ID:	11606
Subjects:	Specific Sciences > Physics > Classical Physics General Issues > History of Philosophy of Science Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances General Issues > Thought Experiments
Date:	3 August 2015
URI:	https://philsci-archive.pitt.edu/id/eprint/11606

Available Versions of this Item

• The Other de Broglie Wave. (deposited 06 Mar 2015 15:23)
  • The de Broglie Wave as Evidence of a Deeper Wave Structure. (deposited 09 Aug 2015 13:57) [Currently Displayed]

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