Relativity and Cosmology

   

Exploring Both the Shared and the Incompatible Characteristics of the X-Direction Galilean and Lorentz Transformations in a Common Framework

Authors: Steven Kenneth Kauffmann

The x-direction Galilean and Lorentz space-time transformations are both effectively two-dimensional matrix transformations, so a simple four-parameter general framework of which both are special cases is easily devised. Moreover, passing from the general space-time transformation to its velocity counterpart uniquely singles out one of those four parameters as the general transformation's intrinsic x-direction constant velocity. This allows the "principle of relativity" to be extended to such general transformations; it applies when the transformation's inversion is accomplished by reversing the sign of its intrinsic velocity. Both the Galilean and Lorentz transformations abide by the "principle of relativity", and the Galilean transformation in addition refrains from altering the time coordinate. The Michelson-Morley null result, however, motivates the Lorentz transformation to refrain from changing the speed of light, which is readily shown to be outright incompatible with transformation-invariant time. The Lorentz transformation's pairing of invariant light speed with the "relativity principle" is closely allied to its preservation of the Minkowski quadratic form.

Comments: 5 Pages.

Download: PDF

Submission history

[v1] 2018-01-17 09:08:32
[v2] 2018-01-23 09:15:53 (removed)
[v3] 2018-01-23 19:48:55

Unique-IP document downloads: 36 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus