Universität zu Köln

Hehl, Friedrich W. and Laemmerzahl, Claus (2019). Physical Dimensions/Units and Universal Constants: Their Invariance in Special and General Relativity. Ann. Phys.-Berlin, 531 (5). WEINHEIM: WILEY-V C H VERLAG GMBH. ISSN 1521-3889

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Abstract

The theory of physical dimensions and units in physics is outlined. This includes a discussion of the universal applicability and superiority of quantity equations. The International System of Units (SI) is one example thereof. By analyzing mechanics and electrodynamics, it naturally leads one, besides the dimensions of length and time, to the fundamental units of action h, electric charge q, and magnetic flux phi. Also, q x phi = action and q/phi = 1/resistance are known. These results of classical physics suggests to look into the corresponding quantum aspects of q and phi (and also of h): The electric charge occurs exclusively in elementary charges e, whereas the magnetic flux can have any value; in specific situations, however, in superconductors of type II at very low temperatures, phi appears quantized in the form of fluxons (Abrikosov vortices). And h leads, of course, to the Planck quantum h. Thus, one is directed to superconductivity and, because of the resistance, to the quantum Hall effect. In this way, the Josephson and the quantum Hall effects come into focus quite naturally. One goal is to determine the behavior of the fundamental constants in special and in general relativity.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Hehl, Friedrich W. UNSPECIFIED UNSPECIFIED UNSPECIFIED Laemmerzahl, Claus UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-148921
DOI:	10.1002/andp.201800407
Journal or Publication Title:	Ann. Phys.-Berlin
Volume:	531
Number:	5
Date:	2019
Publisher:	WILEY-V C H VERLAG GMBH
Place of Publication:	WEINHEIM
ISSN:	1521-3889
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FUNDAMENTAL CONSTANTS; INTERNATIONAL SYSTEM; QUANTITY CALCULUS; PLANCK CONSTANT; BALANCE; UNITS; WATT Multiple languages Physics, Multidisciplinary Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/14892