<b>On derivation of an invariant velocity and the Lorentz transformation using the principle of relativity </b>

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Preprint version 1

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On derivation of an invariant velocity and the Lorentz transformation using the principle of relativity

Preprint

In review

research-article

Author(s): Qing-Ping Ma ¹ ^,

Publication date (Electronic preprint): 1 September 2022

Journal: ScienceOpen Preprints

Publisher: ScienceOpen

Keywords: Lorentz transformation, Linear transformation, Invariant velocity, Principle of relativity, Constancy of the speed of light

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Revision notes

Added the condition for dk²/du'=0 when m is a function of u' in the preprint.

Abstract

Content

Author and article information

Journal

Title: ScienceOpen Preprints

Publisher: ScienceOpen

Publication date (Electronic preprint): 1 September 2022

Affiliations

[1 ] Department of Finance, Accounting and Economics, Nottingham University Business School China, University of Nottingham Ningbo China

Author notes

[* ]Email: qing-ping.ma@ 123456nottingham.edu.cn .

Author information

Qing-Ping Ma https://orcid.org/0000-0002-4379-0378

Article

DOI: 10.14293/S2199-1006.1.SOR-.PPDL4WW.v2

SO-VID: d9aa373c-88a6-4ca9-ba7d-7e8bad9cb056

License:

This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

History

Date received : 23 August 2022

Data availability: Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

ScienceOpen disciplines: Physics

Keywords: Lorentz transformation,Linear transformation,Invariant velocity,Principle of relativity,Constancy of the speed of light

References

EINSTEIN A.. On the Electrodynamics of Moving BodiesSpecial Theory of Relativity. p. 187–218. 1970. Elsevier. [Cross Ref]
Rindler Wolfgang. Essential Relativity. 1977. Springer Berlin Heidelberg. [Cross Ref]
Berzi Vittorio, Gorini Vittorio. Reciprocity Principle and the Lorentz Transformations. Journal of Mathematical Physics. Vol. 10(8):1518–1524. 1969. AIP Publishing. [Cross Ref]
Coleman B. A dual first-postulate basis for special relativity. European Journal of Physics. Vol. 24(4)2003. IOP Publishing. [Cross Ref]
Shen Jian Qi. Generalized Edwards Transformation and Principle of Permutation Invariance. International Journal of Theoretical Physics. Vol. 47(3):751–764. 2008. Springer Science and Business Media LLC. [Cross Ref]
Sela Or, Tamir Boaz, Dolev Shahar, Elitzur Avshalom C.. Can Special Relativity Be Derived from Galilean Mechanics Alone? Foundations of Physics. Vol. 39(5):499–509. 2009. Springer Science and Business Media LLC. [Cross Ref]
Drory Alon. Special Relativity Cannot Be Derived from Galilean Mechanics Alone. Foundations of Physics. Vol. 43(5):665–684. 2013. Springer Science and Business Media LLC. [Cross Ref]

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Comment on this article

[1] EINSTEIN A.. On the Electrodynamics of Moving BodiesSpecial Theory of Relativity. p. 187–218. 1970. Elsevier. [Cross Ref]

[2] Rindler Wolfgang. Essential Relativity. 1977. Springer Berlin Heidelberg. [Cross Ref]

[3] Berzi Vittorio, Gorini Vittorio. Reciprocity Principle and the Lorentz Transformations. Journal of Mathematical Physics. Vol. 10(8):1518–1524. 1969. AIP Publishing. [Cross Ref]

[4] Coleman B. A dual first-postulate basis for special relativity. European Journal of Physics. Vol. 24(4)2003. IOP Publishing. [Cross Ref]

[5] Shen Jian Qi. Generalized Edwards Transformation and Principle of Permutation Invariance. International Journal of Theoretical Physics. Vol. 47(3):751–764. 2008. Springer Science and Business Media LLC. [Cross Ref]

[6] Sela Or, Tamir Boaz, Dolev Shahar, Elitzur Avshalom C.. Can Special Relativity Be Derived from Galilean Mechanics Alone? Foundations of Physics. Vol. 39(5):499–509. 2009. Springer Science and Business Media LLC. [Cross Ref]

[7] Drory Alon. Special Relativity Cannot Be Derived from Galilean Mechanics Alone. Foundations of Physics. Vol. 43(5):665–684. 2013. Springer Science and Business Media LLC. [Cross Ref]