A Case for Lorentzian Relativity (Standing Wave Model of Matter)
First published: 2014
Brief summary
Models a massive particle as a three-dimensional standing wave and derives the Lorentz transformation's length, time and simultaneity effects as direct consequences of changes in this wave structure between inertial frames.
Article
A Case for Lorentzian Relativity (Standing Wave Model of Matter) is a preprint published by arXiv (Shanahan) in 2014. It models a massive particle as a three-dimensional standing wave and derives the Lorentz transformation's length, time and simultaneity effects as direct consequences of changes in this wave structure between inertial frames.
Standing wave frequency/wavelength changes under Lorentz transformation directly derived. It also considers connects to de Broglie's original 1924 thesis concept of a wave structure for matter. This gives the cycle claim a specific numerical and evidential setting rather than presenting periodicity only as a visual impression.
The article reports the following result: By modelling a massive particle as a standing wave in three dimensions, the changes in length, time and simultaneity described by the Lorentz Transformation emerge as immediate consequences of changes in the wave structure of the particle as it changes inertial frame. The argument is strongest when its equations, assumptions and testable predictions are stated clearly and compared with established quantum and relativistic models.
For cycles researchers, the article brings together lorentzian relativity, standing wave model, lorentz transformation, matter waves. It is relevant to wave-based models of matter because it links physical interpretation to standing waves, phase, wavelength and relativistic or quantum behaviour.
Because it is a preprint, the work should be read alongside later peer-reviewed publications and independent replications. It remains useful because the proposed cycle, dataset and analytical approach are stated clearly enough to be scrutinised.
Source details and credits
- Source / publisher: arXiv (Shanahan)
- Source type: Preprint
- URL type: PDF
- Credits: arXiv (Shanahan)
- URL: https://arxiv.org/pdf/1401.4534