Literaturnachweis - Detailanzeige
Autor/in | Hacyan, Shahen |
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Titel | Geometry as an Object of Experience: The Missed Debate between Poincare and Einstein |
Quelle | In: European Journal of Physics, 30 (2009) 2, S.337-343 (7 Seiten)
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0143-0807 |
DOI | 10.1088/0143-0807/30/2/013 |
Schlagwörter | Theories; Scientific Principles; Geometry; Geometric Concepts; Science Instruction; Scientific Concepts; Physics; Scientists; Astronomy; Mathematical Concepts; Equations (Mathematics); Philosophy |
Abstract | According to Poincare, a geometry cannot be an object of experience since any geometrical experiment must be realized with physical objects, such as rulers and light rays, and it is only their properties that can be tested. This position was apparently refuted by general relativity and the successful confirmation of its predictions by astronomical observations, but unfortunately Poincare did not live to defend his point of view. In this paper, Poincare's argument is reconsidered by pointing out that general relativity can also be interpreted as the gauge theory associated with the Lorentz group, as shown by Utiyama in 1956. Utiyama's approach does not rely on any assumption about the geometry of space-time, though the resulting equations are identical to those of general relativity. The purpose of the present paper is to situate general relativity and its principles in a wider historical perspective; it can be of interest to teachers at a specialized level, and to philosophers of science. (Contains 4 footnotes.) (As Provided). |
Anmerkungen | Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: info@ioppubusa.com; Web site: http://www.iop.org/EJ/journal/EJP |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2017/4/10 |