Derivation of Lorentz Transformation via Lorentz Invariant

DOI

10.2991/icacie-17.2017.9How to use a DOI?

Keywords

Special Relativity; Lorentz Transformation; Lorentz Invariant; Scalar; 4-Vector

Abstract

We derive the Lorentz transformation matrix via the invariance of spacetime interval. The derivation is greatly simplified by using hyperbolic functions. The Lorentz scalar and the 4-vector are explained via the concept of relativistic covariance and the results are applied to relativistic mechanics. This paper helps to better understand the mathematical structure of special relativity, and may be useful for engineers working with relativistic applications such as satellite navigation and precision chronometry.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xiao-Ping Qin
AU  - Peng Li
AU  - Gang Su
AU  - Ling-Mei Cong
PY  - 2017/08
DA  - 2017/08
TI  - Derivation of Lorentz Transformation via Lorentz Invariant
BT  - Proceedings of the 2017 2nd International Conference on Automatic Control and Information Engineering (ICACIE 2017)
PB  - Atlantis Press
SP  - 41
EP  - 44
SN  - 2352-5401
UR  - https://doi.org/10.2991/icacie-17.2017.9
DO  - 10.2991/icacie-17.2017.9
ID  - Qin2017/08
ER  -