Factorization of the Lorentz transformations
Konstantin Karplyuk, Myroslav Kozak, Oleksandr Zhmudskyy
TL;DR
This paper demonstrates how any Lorentz transformation can be decomposed into a sequence of simpler transformations such as rotations and boosts, providing explicit relations for these components.
Contribution
It introduces a method to factorize any Lorentz transformation into basic rotations and boosts, clarifying their interrelations.
Findings
Derived relations for decomposing Lorentz transformations
Provided explicit formulas for boosts and rotations
Enhanced understanding of Lorentz transformation structure
Abstract
The article shows how the factorization of an arbitrary Lorentz transformation is performed. That is, representation of an arbitrary Lorentz transformation as a sequence of spatial rotation and boost or boost and spatial rotation. Relations are obtained that determine the required boosts and turns.
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Taxonomy
TopicsAdvanced Theoretical and Applied Studies in Material Sciences and Geometry · Medical and Biological Sciences · Advanced Scientific Research Methods