Geometric representation of the Galilean transformation

Galilean transformation is a set of equations in Galilean relativity that relate the space and time coordinates of two reference frames moving at a constant velocity to each other. In this paper, all equations of Galilean transformation will be derived using the geometrical method, concretely using...

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Main Author: Shukri Klinaku
Format: Article
Language:English
Published: Elsevier 2022-08-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379722003953
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author Shukri Klinaku
author_facet Shukri Klinaku
author_sort Shukri Klinaku
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description Galilean transformation is a set of equations in Galilean relativity that relate the space and time coordinates of two reference frames moving at a constant velocity to each other. In this paper, all equations of Galilean transformation will be derived using the geometrical method, concretely using a space–time diagram. But this powerful method of derivation reveals a new Galilean transformation. The credibility of the geometrical method and the fact that the wave equation is invariant to the transformed Galilean transformation make this new Galilean transformation respectable. Moreover, the transformed Galilean transformation reinforces the principle of relativity, making this principle unique to all physics.
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spelling doaj.art-2530f16462af423ca3e9ebfb0ebfee0a2022-12-22T01:29:52ZengElsevierResults in Physics2211-37972022-08-0139105719Geometric representation of the Galilean transformationShukri Klinaku0University of Prishtina, Department of Physics, Rr. George Bush 31, 10000 Prishtina, KosovoGalilean transformation is a set of equations in Galilean relativity that relate the space and time coordinates of two reference frames moving at a constant velocity to each other. In this paper, all equations of Galilean transformation will be derived using the geometrical method, concretely using a space–time diagram. But this powerful method of derivation reveals a new Galilean transformation. The credibility of the geometrical method and the fact that the wave equation is invariant to the transformed Galilean transformation make this new Galilean transformation respectable. Moreover, the transformed Galilean transformation reinforces the principle of relativity, making this principle unique to all physics.http://www.sciencedirect.com/science/article/pii/S2211379722003953Galilean transformationSpaceTimeSpace–time diagram
spellingShingle Shukri Klinaku
Geometric representation of the Galilean transformation
Results in Physics
Galilean transformation
Space
Time
Space–time diagram
title Geometric representation of the Galilean transformation
title_full Geometric representation of the Galilean transformation
title_fullStr Geometric representation of the Galilean transformation
title_full_unstemmed Geometric representation of the Galilean transformation
title_short Geometric representation of the Galilean transformation
title_sort geometric representation of the galilean transformation
topic Galilean transformation
Space
Time
Space–time diagram
url http://www.sciencedirect.com/science/article/pii/S2211379722003953
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