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The Lorentz Transformations [PDF]

open access: bronzeAustralian Journal of Physics, 1959
Sir Harold Jeffreys (1958) has asserted that my analysis of the clock paradox (Builder 1957) is based on concealed hypotheses; but the hypotheses to which he refers are ones that he claims are involved in the derivation of the Lorentz transformations and in the currently accepted methods of using them.
Geoffrey Builder
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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   +2 more sources

XXIX. The lorentz transformation [PDF]

open access: greenThe London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1921
(1921). XXIX. The lorentz transformation. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science: Vol. 42, No. 248, pp. 249-258.
L. A. Pars
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The Lorentz Transformation [PDF]

open access: green, 2001
Traditionally, two postulates are put at the beginning of Special Relativity, from which all other results can be derived.
Roman U. Sexl, Helmuth K. Urbantke
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On the Lorentz Transformations of Momentum and Energy [PDF]

open access: greenModern Physics Letters A, 2003
Motivated by ultra-high-energy cosmic ray physics, we discuss all the possible alternatives to the familiar Lorentz transformations of the momentum and the energy of a particle. Starting from natural physical requirements, we exclude all the possibilities, apart from the ones which arise from the usual four-vector transformations by means of a change ...
M. Toller
openalex   +4 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   +1 more source

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
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