Four-Dimensional Geometric Quantities versus the Usual Three-Dimensional Quantities: The Resolution of Jackson's Paradox [Book Review]

Foundations of Physics 36 (10):1511-1534 (2006)
Abstract
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
Keywords Jackson’s paradox
Categories (categorize this paper)
DOI 10.1007/s10701-006-9071-y
Options
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 32,628
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Trouton–Noble Paradox Revisited.Tomislav Ivezić - 2007 - Foundations of Physics 37 (4-5):747-760.
“True Transformations Relativity” and Electrodynamics.Tomislav Ivezić - 2001 - Foundations of Physics 31 (8):1139-1183.
Real Numbers, Quantities, and Measurement.Bob Hale - 2002 - Philosophia Mathematica 10 (3):304-323.
Definitions and Units in Mechanics.J. Gibson Winans - 1976 - Foundations of Physics 6 (2):209-219.
Bootstrapping and the Problem of Testing Quantitative Theoretical Hypotheses.David Grünberg - 2001 - The Proceedings of the Twentieth World Congress of Philosophy 2001:143-150.
On Variables in Mathematics and in Natural Science.Karl Menger - 1954 - British Journal for the Philosophy of Science 5 (18):134-142.
A Set of Independent Axioms for Extensive Quantities.Patrick Suppes - 1951 - Portugaliae Mathematica 10 (4):163-172.
Added to PP index
2013-11-22

Total downloads
46 ( #129,856 of 2,235,948 )

Recent downloads (6 months)
5 ( #121,598 of 2,235,948 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature