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Theoretical Investigation of Lorentz Transformation of Relativistic Quantities in Two-Dimensional Spacetime Continuum [PDF]
The Scientific World JournalIn 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
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Playing with two rays of light
Revista Brasileira de Ensino de Física, 2022 The special theory of relativity is currently included in the curricula of high school in many countries. For this reason, we often organize in-depth lessons on this topic and, in this paper, we summarize a lecture that we have given in some extra ...
Elmo Benedetto +2 more
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Lorentz Gauge and Coulomb Gauge for Tetrad Field of Gravity
Universe, 2022 In general relativity, an inertial frame can only be established in a small region of spacetime, and local inertial frames are mathematically represented by a tetrad field in gravity.
Tao Zhou
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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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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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Quantum Reference Frames for Lorentz Symmetry [PDF]
QuantumSince their first introduction, Quantum Reference Frame (QRF) transformations have been extensively discussed, generalising the covariance of physical laws to the quantum domain.
Luca Apadula +2 more
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Special relativity on the light-front
Revista Brasileira de Ensino de Física, 2021 P.A.M. Dirac in 1949 showed that it is possible to construct relativistic dynamic forms starting from the description of the initial state of a given relativistic system in any space-time surface whose distances between two points on this hypersurface ...
Jorge Henrique Sales +3 more
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Quaternions, 2x2 complex matrices and Lorentz transformations
Bibechana, 2014 We show that the matrix method to construct Lorentz transformations permit to deduce the corresponding quaternionic procedure.
B. E. Carvajal-Gámez +2 more
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Homogeneously Modified Special relativity (HMSR)
European Physical Journal C: Particles and Fields, 2019 This work explores a Standard Model extension possibility, that violates Lorentz invariance, preserving the space-time isotropy and homogeneity. In this sense HMSR represents an attempt to introduce an isotropic Lorentz Invariance Violation in the ...
Marco Danilo Claudio Torri +2 more
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The Lorentz Transformations [PDF]
Australian 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.
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