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FIZIKA A 16 (2007) 4 , 207-222
 
JACKSON'S PARADOX AND ITS RESOLUTION BY THE FOUR-DIMENSIONAL GEOMETRIC QUANTITIES
TOMISLAV IVEZIĆ
Ruđer Bošković Institute, P.O.B. 180, 10002 Zagreb, Croatia
E-mail address: ivezic@irb.hr
Received 14 October 2007; Revised manuscript received 19 November 2007
Accepted 5 December 2007 Online 8 February 2008
In this paper it is shown that the real cause of Jackson's paradox is the
use of three-dimensional (3D) quantities, e.g., E,
B, F, L, T, their transformations and relations. The
principle of relativity is naturally satisfied and there is no paradox when the
physical reality is attributed to the 4D geometric quantities, e.g., to the 4D
torque N (bivector) or, equivalently, to the 4D torques Ns and Nt
(1-vectors), which together contain the same physical information as the
bivector N.
PACS numbers: 03.30.+p, 03.50.De
UDC 531.18
Keywords: Jackson's paradox, four-dimensional geometric quantities
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