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Deduction of Lorentz Transformations from Classical Thermodynamics

Entropy, 2015
The Lorentz transformations are obtained by assuming that the laws of classical thermodynamics are invariant under changes of inertial reference frames.
F Angulo-Brown, G Ares De Parga
exaly   +4 more sources

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
doaj   +2 more sources

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.
G Builder
openaire   +2 more sources

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
doaj   +5 more sources

Derivation of the Lorentz Transformations for Three-Dimensional Relative Motion Between Inertial Frames of Reference

Advances in Mathematical Physics
Lorentz transformations are central to relativistic mechanics, explaining phenomena such as the mass–energy relationship, spatial contraction, momentum transformation, velocity addition, and the geometric structure of Minkowski space-time.
Chandra Bahadur Khadka
doaj   +2 more sources

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
doaj   +1 more source

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
doaj   +1 more source

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., Kozak, M.I., Zhmudskyy, O.O.   +2 more
openaire   +3 more sources

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
doaj   +1 more source

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
doaj   +1 more source