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Theoretical Investigation of Lorentz Transformation of Relativistic Quantities in Two-Dimensional Spacetime Continuum [PDF]

open access: yesThe Scientific World Journal
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.
Chandra Bahadur Khadka, Bhishma Karki
doaj   +3 more sources

Airy transformation of Lorentz-Gauss beams

open access: yesResults in Physics, 2020
By using the first three terms of expansion of the Lorentz function, the approximate description of an incident Lorentz-Gauss beam is analytically obtained. Moreover, this approximation is proved to be effective.
Xia Li   +3 more
doaj   +3 more sources

Factorization of the Lorentz Transformations

open access: yesUkrainian Journal of Physics, 2023
The article shows how the factorization of an arbitrary Lorentz transformation is performed. That is, the representation of an arbitrary Lorentz transformation as a sequence of a spatial rotation and a boost or a boost and a spatial rotation. Relations are obtained that determine the required boosts and turns.
Karplyuk, K.S.   +2 more
openaire   +3 more sources

From the Lorentz Transformation Group in Pseudo-Euclidean Spaces to Bi-gyrogroups [PDF]

open access: yesMathematics Interdisciplinary Research, 2016
‎The Lorentz transformation of order (m=1,n)‎, ‎n∈N‎, ‎is the well-known ‎Lorentz transformation of special relativity theory‎. ‎It is a transformation of time-space coordinates of the ‎pseudo-Euclidean space Rm=1,n of one time dimension and n space ...
Abraham A. Ungar
doaj   +1 more source

FDTD Analysis of Relativistic Bistatic Polarized Scattering From a High-Speed Moving Dielectric Coated Target

open access: yesIEEE Access, 2023
Development of hypersonic aircraft demands relativistic electromagnetic scattering modeling of a high-speed moving dielectric coated object, which is applied to the recognition and tracking of moving stealth object.
Pengcheng Ren   +3 more
doaj   +1 more source

On Lorentz Invariant Complex Scalar Fields

open access: yesAdvances in High Energy Physics, 2022
We obtain a Lorentz covariant wave equation whose complex wave function transforms under a Lorentz boost according to the following rule, Ψx⟶ei/ℏfxΨx. We show that the spacetime-dependent phase fx is the most natural relativistic extension of the phase ...
Gustavo Rigolin
doaj   +1 more source

Derivation of the Lorentz transformation for determination of space contraction

open access: yesSt. Petersburg Polytechnical University Journal: Physics and Mathematics, 2023
The paper demonstrates the incompleteness of the relativistic space contraction formula for space-time coordinates transformation between inertial frames of reference in the existing normally acknowledged version of the theory of special relativity.
Khadka Chandra
doaj   +1 more source

Covariant four dimensional differential calculus in κ-Minkowski

open access: yesPhysics Letters B, 2022
It is generally believed that it is not possible to have a four dimensional differential calculus in κ-Minkowski spacetime, with κ-Poincaré relativistic symmetries, covariant under (κ-deformed) Lorentz transformations.
Giacomo Rosati
doaj   +1 more source

NEW METHOD FOR DERIVATION OF LORENTZ TRANSFORMATION

open access: yesJournal of Engineering, 2003
in the modern field of heavy ion atomic physics, determined through Lorentz transformation [W. Greiner 1997]. At high energies one must investigate the relative wave equations. This means equations, which are invariant under Lorenz transformation.
O.M. Al-Kazalch
doaj   +1 more source

On bi-conservative hypersurfaces in the Lorentz-Minkowski 4-space $E_1^4$ [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
In the 1920s, D. Hilbert has showed that the tensor of stress-energy, related to a given functional $\Lambda$, is a conservative symmetric bicovariant tensor $\Theta$ at the critical points of $\Lambda$, which means that div$\Theta =0$.
Firooz Pashaie
doaj   +1 more source

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