On the Definition of Energy for a Continuum, Its Conservation Laws, and the Energy-Momentum Tensor

Autor: Mayeul Arminjon

Publikováno v: Advances in Mathematical Physics, Vol 2016 (2016)

We review the energy concept in the case of a continuum or a system of fields. First, we analyze the emergence of a true local conservation equation for the energy of a continuous medium, taking the example of an isentropic continuum in Newtonian gra

Externí odkaz: https://doaj.org/article/5d9c3979cfa24b1c8065aa213f60741d

Interaction energy between a charged medium and its electromagnetic field as a dark matter candidate

Autor: Mayeul Arminjon

Publikováno v: Sixteenth Marcel Grossmann Meeting
Sixteenth Marcel Grossmann Meeting, Jul 2021, Online meeting, Italy

In the scalar theory of gravitation with a preferred reference frame, a consistent formulation of electrodynamics in the presence of gravitation needs to introduce an additional energy tensor: the interaction energy tensor. This energy is gravitation

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eee554da838c1391538fa03a816c8d05
https://hal.archives-ouvertes.fr/hal-03359004/document

Motion of a Test Particle According to the Scalar Ether Theory of Gravitation and Application to its Celestial Mechanics

Autor: Mayeul Arminjon, Rainer Wolfgang Winkler

Publikováno v: Zeitschrift für Naturforschung a
Zeitschrift für Naturforschung a, De Gruyter, Berlin, 2019, 74 (4), pp.305-316. ⟨10.1515/zna-2018-0470⟩

The standard interpretations of special relativity (Einstein–Minkowski) and general relativity (GR) lead to a drastically changed notion of time: the eternalism or block universe theory. This has strong consequences for our thinking about time and

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::130caa8c61116d48e3ad4772647416b2
https://doi.org/10.1515/zna-2018-0470

Interaction Energy of a Charged Medium and its EM Field in a Curved Spacetime

Autor: Mayeul Arminjon

Publikováno v: Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization
Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Jun 2018, Varna, Bulgaria. pp.88-98
Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Vladimir Pulov and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2019)

13 pages. Text of a talk given at the XXth Conf. ``Geometry, Integrability and Quantization" (Varna, Bulgaria, June 2-8, 2018); International audience; In the electrodynamics of special relativity (SR) or general relativity (GR), the energy tensors o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5faba455db7722393d2fdec7f75e4e88
https://hal.archives-ouvertes.fr/hal-01881100/document

Lorentz-invariant second-order tensors and an irreducible set of matrices

Autor: Mayeul Arminjon

Publikováno v: journal of geometry and symmetry in physics
journal of geometry and symmetry in physics, 2018, 50, pp.1-10
J. Geom. Symmetry Phys. 50 (2018), 1-10

We prove that, up to multiplication by a scalar, the Minkowski metric tensor is the only second-order tensor that is Lorentz-invariant. To prove this, we show that a specific set of three $4\times 4$ matrices, made of two rotation matrices plus a Lor

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f398766f6e77b78619c43e0f31de47e3
https://hal.archives-ouvertes.fr/hal-01797592/document