Theoretical Investigation of Lorentz Transformation of Relativistic Quantities in Two-Dimensional Spacetime Continuum
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 noti...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/tswj/7149569 |
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| Summary: | 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. |
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| ISSN: | 1537-744X |