caa a22 4500 467906351 CHVBK 20180406152835.0 cr unu---uuuuu 170328e20061001xx s 000 0 eng 10.1007/s10701-006-9071-y doi (NATIONALLICENCE)springer-10.1007/s10701-006-9071-y Ivezić Tomislav Ruđer Bošković Institute, P.O.B. 180, 10002, Zagreb, Croatia aut Four-Dimensional Geometric Quantities versus the Usual Three-Dimensional Quantities:The Resolution of Jackson's Paradox [Elektronische Daten] [Tomislav Ivezić] In this paper we present definitions of different four-dimensional (4D) geometric quantities (Clifford multivectors). New decompositions of the torque N and the angular momentum M (bivectors) into 1-vectors Ns, Nt and Ms, Mt, respectively, are given. The torques Ns, Nt (the angular momentums Ms, Mt), taken together, contain the same physical information as the bivector N (the bivector M). The usual approaches that deal with the 3D quantities $$\varvec{E,\,B,\,F,\,L,\,N}$$ etc. and their transformations are objected from the viewpoint of the invariant special relativity (ISR). In the ISR, it is considered that 4D geometric quantities are well-defined both theoretically and experimentally in the 4D spacetime. This is not the case with the usual 3D quantities. It is shown that there is no apparent electrodynamic paradox with the torque, and that the principle of relativity is naturally satisfied, when the 4D geometric quantities are used instead of the 3D quantities. Springer Science+Business Media, Inc., 2006 4D geometric quantities nationallicence 3D quantities nationallicence Jackson's paradox nationallicence Foundations of Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 36/10(2006-10-01), 1511-1534 0015-9018 36:10<1511 2006 36 10701 https://doi.org/10.1007/s10701-006-9071-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10701-006-9071-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ivezić Tomislav Ruđer Bošković Institute, P.O.B. 180, 10002, Zagreb, Croatia aut NATIONALLICENCE 773 0- Foundations of Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 36/10(2006-10-01), 1511-1534 0015-9018 36:10<1511 2006 36 10701 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer