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Theoretical Investigation of Lorentz Transformation of Relativistic Quantities in Two‐Dimensional Spacetime Continuum
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Theoretical Investigation of Lorentz Transformation of Relativistic Quantities in Two‐Dimensional Spacetime Continuum
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Journal Article
Theoretical Investigation of Lorentz Transformation of Relativistic Quantities in Two‐Dimensional Spacetime Continuum
2025
Overview
In the current study, we conducted a theoretical study to derive the Lorentz transformation between inertial frames of reference moving in two‐dimensional spacetime continuum. The invariance of the space–time interval equation, with use of the derived two‐dimensional transformations, yields the notion of 2 + 2‐dimensional spacetime continuum which consists of two space and two time coordinates. The velocity addition formulas, Lorentz transformations of energy and momentum are then investigated in 2 + 2‐dimensional spacetime frame. Additionally, we investigated the concept of four‐vector in 2 + 2 dimensions and further discussed their transformation based on the matrix equation, which is fully consistent with the Lorentz invariant energy–momentum relation.
Publisher
John Wiley & Sons, Inc,Wiley
