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Lorentz Group Action on Ellips Space

Journal Of Natural Sciences And Mathematics Research

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Field Value
 
Title Lorentz Group Action on Ellips Space
 
Creator Khalif, Muhammad Ardhi
 
Subject fundamental sciences; physics sciences
Physics Theory
 
Description The ellips space E has been constructed as cartesian product R+ × R+ × [ π 2 , π 2 ]. Its elements, (a, b, θ), is called as an ellipse with eccentricity is = p1 − b2/a2 if b a and is = p1 − a2/b2 if a b. The points (a, b, π/2) is equal to (b, a, 0). The action of subgrup SOoz(3, 1) of Lorentz group SOo(3, 1), containing Lorentz transformations on x−y plane and rotations about z axes, on E is defined as Lorentz transformation or rotation transformation of points in an ellipse. The action is effective since there are no rigid points in E. The action is also not free and transitive. These properties means that Lorentz transformations change any ellips into another ellips. Although mathematically we can move from an ellipse to another one with the bigger eccentrity but it is imposible physically. This is occured because we donot include the speed parameter into the definition of an ellipse in E.
 
Publisher Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang
 
Contributor —
 
Date 2017-08-22
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
—
 
Format application/pdf
 
Identifier https://journal.walisongo.ac.id/index.php/JNSMR/article/view/1602
10.21580/jnsmr.2015.1.2.1602
 
Source Journal Of Natural Sciences And Mathematics Research; Vol 1, No 2 (2015): Volume 1, Nomor 2, 2015; 55-57
2460-4453
2614-6487
 
Language eng
 
Relation https://journal.walisongo.ac.id/index.php/JNSMR/article/view/1602/pdf
 
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