Geometrical Interpretation of Space Contraction in Two-dimensional Lorentz Transformation
BibechanaThis paper points out that the transformation equations for the spatial and temporal coordinates between two frames of reference in the existing generally accepted version of the Lorentz transformation are deficient, since transformation equations are ...
Chandra Bahadur Khadka
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Regularization of f(T) Gravity Theories and Local Lorentz Transformation [PDF]
Advances in High Energy Physics, 2015 We regularized the field equations of f(T) gravity theories such that the effect of local Lorentz transformation (LLT), in the case of spherical symmetry, is removed.
Gamal G. L. Nashed
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Lorentz Transformation in Maxwell Equations for Slowly Moving Media [PDF]
Symmetry, 2022 We use the method of field decomposition, a widely used technique in relativistic magnetohydrodynamics, to study the small velocity approximation (SVA) of the Lorentz transformation in Maxwell equations for slowly moving media.
Xin-Li Sheng, Yang Li, Shi Pu, Qun Wang
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Ultrafast visualization of an electric field under the Lorentz transformation
Nature Physics, 2022 In special relativity, four-vectors, such as space–time, energy–momentum and electromagnetic potential vectors, follow the Lorentz transformation. The transformations of space–time and energy–momentum vectors have been tested by time dilation and rest ...
M. Ota +10 more
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Relativistic spin operator and Lorentz transformation of the spin state of a massive Dirac particle [PDF]
, 2013 We have shown that the covariant relativistic spin operator is equivalent to the spin operator commuting with the free Dirac Hamiltonian. This implies that the covariant relativistic spin operator is a good quantum observable.
Taeseung Choi
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Uniqueness of the Isotropic Frame and Usefulness of the Lorentz Transformation [PDF]
, 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
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Covariant four dimensional differential calculus in κ-Minkowski
Physics 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
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Lorentz transformation from an elementary point of view [PDF]
, 2016 Elementary methods are used to examine some nontrivial mathematical issues underpinning the Lorentz transformation. Its eigen-system is characterized through the exponential of a $G$-skew symmetric matrix, underlining its unconnectedness at one of its ...
Arkadiusz Jadczyk, J. Szulga
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Parametric Realization of the Lorentz Transformation Group in Pseudo-Euclidean Spaces [PDF]
, 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
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NEW METHOD FOR DERIVATION OF LORENTZ TRANSFORMATION
Journal 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
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