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A Case for Lorentzian Relativity

Shanahan, Daniel (2014) A Case for Lorentzian Relativity. Foundations of Physics, 44. pp. 349-367. ISSN 0015-9018

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Abstract

The Lorentz transformation (the LT) is explained by changes occurring in the wave characteristics of matter as it changes inertial frame. This explanation is akin to that favoured by Lorentz, but informed by later insights, due primarily to de Broglie, regarding the underlying unity of matter and radiation. To show the nature of these changes, a massive particle is modelled as a standing wave in three dimensions. As the particle moves, the standing wave becomes a travelling wave having two factors. One is a carrier wave displaying the dilated frequency and contracted ellipsoidal form described by the LT, while the other (identified as the de Broglie wave) is a modulation defining the dephasing of the carrier wave (and thus the failure of simultaneity) in the direction of travel. The superluminality of the de Broglie wave is thus explained, as are several other mysterious features of the optical behaviour of matter, including the physical meaning of the Schrödinger Eqn. and the relevance to scattering processes of the de Broglie wave number. Consideration is given to what this Lorentzian approach to relativity might mean for the possible existence of a preferred frame and the origin of the observed Minkowski metric.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Shanahan, Danieldanjune@bigpond.net.au
Additional Information: This corrects some obvious errors of transciption.
Keywords: Special relativity ⋅ Lorentz Invariance ⋅ de Broglie wave ⋅ Matter wave ⋅ Schrödinger equation
Subjects: Specific Sciences > Physics > Classical Physics
General Issues > History of Philosophy of Science
General Issues > History of Science Case Studies
General Issues > Laws of Nature
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: 02 Oct 2014 14:27
Last Modified: 02 Oct 2014 14:27
Item ID: 11013
Journal or Publication Title: Foundations of Physics
Publisher: Springer
Official URL: http://dx.doi.org/10.1007/s10701-013-9765-x
DOI or Unique Handle: 10.1007/s10701-013-9765-x
Subjects: Specific Sciences > Physics > Classical Physics
General Issues > History of Philosophy of Science
General Issues > History of Science Case Studies
General Issues > Laws of Nature
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Symmetries/Invariances
General Issues > Thought Experiments
Date: 2014
Page Range: pp. 349-367
Volume: 44
ISSN: 0015-9018
URI: http://philsci-archive.pitt.edu/id/eprint/11013

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