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IEEE 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
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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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On Lorentz Invariant Complex Scalar Fields
Advances 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
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Derivation of the Lorentz transformation for determination of space contraction
St. 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
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On bi-conservative hypersurfaces in the Lorentz-Minkowski 4-space $E_1^4$ [PDF]
Sahand 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
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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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Factorization of the Lorentz Transformations
Ukrainian 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
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The Relativistic Rotation Transformation and the Observer Manifold
Axioms, 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
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Relativistic Bistatic Scattering of a High-Speed Moving Plasma Coated Object
International 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
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