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Theoretical Investigation of Lorentz Transformation of Relativistic Quantities in Two-Dimensional Spacetime Continuum [PDF]

The 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
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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, Giuseppe Iuele, Ivan Russo   +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]

Quantum
Since their first introduction, Quantum Reference Frame (QRF) transformations have been extensively discussed, generalising the covariance of physical laws to the quantum domain.
Luca Apadula, Esteban Castro-Ruiz, Časlav Brukner   +2 more
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The language of Einstein spoken by optical instruments [PDF]

, 2004
Einstein had to learn the mathematics of Lorentz transformations in order to complete his covariant formulation of Maxwell's equations. The mathematics of Lorentz transformations, called the Lorentz group, continues playing its important role in optical ...
A. Sommerfeld, D. Han, D. Han, E. Inonu, E. Wigner, H. Goldstein, J. J. Monzón, R. A. M. Azzam, S. Başkal, S. Başkal, Y. S. Kim, Y. S. Kim, Y. S. Kim   +12 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, A. T. Suzuki, Gislan S. Santos, Daykson N. Possidonio   +3 more
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Lorentz transformations that entangle spins and entangle momenta [PDF]

, 2006
Simple examples are presented of Lorentz transformations that entangle the spins and momenta of two particles with positive mass and spin 1/2. They apply to indistinguishable particles, produce maximal entanglement from finite Lorentz transformations of ...
A. Peres, Anil Shaji, E. C. G. Sudarshan, F. R. Halpern, J. Pachos, P. M. Alsing, S. Weinberg, T. F. Jordan, Thomas F. Jordan   +8 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, I. J. Guerrero-Moreno, J. López-Bonilla   +2 more
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