2021
DOI: 10.48550/arxiv.2110.05936
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

On the linear transformation between inertial frames

Abstract: In the derivation of Lorentz transformation, linear transformation between inertial frames is one of the most important steps. In teaching special relativity, we usually use the homogeneity and isotropy of spacetime to argue that the transformation must be linear transformation without providing any rigorous detail. We provide a mathematical proof of linear transformation based on the two postulates of special relativity and the homogeneity and isotropy of spacetime.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2022
2022
2022
2022

Publication Types

Select...
1

Relationship

0
1

Authors

Journals

citations
Cited by 1 publication
(1 citation statement)
references
References 8 publications
0
1
0
Order By: Relevance
“…because the motion takes place along OX axis. In [10] the authors claim they have obtained a solid proof of the linearity of Lorentz transformations, which is not assumed here.…”
Section: Fundamental Postulatesmentioning
confidence: 96%
“…because the motion takes place along OX axis. In [10] the authors claim they have obtained a solid proof of the linearity of Lorentz transformations, which is not assumed here.…”
Section: Fundamental Postulatesmentioning
confidence: 96%