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TMF, 2021, Volume 209, Number 2, Pages 389–394 (Mi tmf10061)  

On the first Newton law, the existence of the reference system corresponding to the rest, and the Galilei group

V. P. Pavlov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: In the Russian scientific literature, the authors carefully avoided mentioning the fact that Ernst Mach's assertion of 1904 about the meaninglessness of the concepts of uniform motion and absolute time in and of themselves has never been challenged in classical (not quantum) mechanics. Using hydrodynamics as an example, V. I. Arnold showed that a system of coordinates in which some finite volume of the medium is at rest exists almost always. We interpret this result as the existence of a system of coordinates in which all particles are at rest (the rest frame).

Keywords: continuum, Lagrangian and Eulerian descriptions, reference frame and system of coordinates, Galilei group, Noether theorem.

DOI: https://doi.org/10.4213/tmf10061

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English version:
Theoretical and Mathematical Physics, 2021, 209:2, 1652–1656

Received: 19.01.2021
Revised: 05.04.2021

Citation: V. P. Pavlov, “On the first Newton law, the existence of the reference system corresponding to the rest, and the Galilei group”, TMF, 209:2 (2021), 389–394; Theoret. and Math. Phys., 209:2 (2021), 1652–1656

Citation in format AMSBIB
\Bibitem{Pav21}
\by V.~P.~Pavlov
\paper On the~first Newton law, the~existence of the~reference system corresponding to the~rest, and the~Galilei group
\jour TMF
\yr 2021
\vol 209
\issue 2
\pages 389--394
\mathnet{http://mi.mathnet.ru/tmf10061}
\crossref{https://doi.org/10.4213/tmf10061}
\transl
\jour Theoret. and Math. Phys.
\yr 2021
\vol 209
\issue 2
\pages 1652--1656
\crossref{https://doi.org/10.1134/S0040577921110118}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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