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Uniqueness of the Isotropic Frame and Usefulness of the Lorentz Transformation [PDF]

open access: yes, 2018
According to the postulates of the special theory of relativity (STR), physical quantities such as proper times and Doppler shifts can be obtained from any inertial frame by regarding it as isotropic.
Yang-Ho Choi
semanticscholar   +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

Parametric Realization of the Lorentz Transformation Group in Pseudo-Euclidean Spaces [PDF]

open access: yes, 2015
The Lorentz transformation group $SO(m,n)$ is a group of Lorentz transformations of order $(m,n)$, that is, a group of special linear transformations in a pseudo-Euclidean space of signature $(m,n)$ that leave the pseudo-Euclidean inner product invariant.
A. Ungar
semanticscholar   +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

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

Relativistic Bistatic Scattering of a High-Speed Moving Plasma Coated Object

open access: yesInternational Journal of Antennas and Propagation, 2023
Accurate modeling of relativistic electromagnetic scattering characteristics from high-speed motion of plasma coated objects is crucial for the development of hypersonic aircraft and their applications in the identification and surveillance of moving ...
Pengcheng Ren   +3 more
doaj   +1 more source

The Relativistic Rotation Transformation and the Observer Manifold

open access: yesAxioms, 2023
We show that relativistic rotation transformations represent transfer maps between the laboratory system and a local observer on an observer manifold, rather than an event manifold, in the spirit of C-equivalence.
Satyanad Kichenassamy
doaj   +1 more source

Lorentz Transformation, Poincaré Vectors and Poincaré Sphere in Various Branches of Physics

open access: yesSymmetry, 2018
In the frame of a generic language extended from the polarization theory—comprising the notions of Poincare vectors, Poincare sphere, and P-spheres—a geometric approach to Lorentz transformations alternative to the Minkowskian one is given.
T. Tudor
semanticscholar   +1 more source

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