Which symmetry? Noether, Weyl, and conservation of electric charge
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Studies in History and Philosophy of Science Part B 33 (1):3-22 (2002)
In 1918, Emmy Noether published a (now famous) theorem establishing a general connection between continuous 'global' symmetries and conserved quantities. In fact, Noether's paper contains two theorems, and the second of these deals with 'local' symmetries; prima facie, this second theorem has nothing to do with conserved quantities. In the same year, Hermann Weyl independently made the first attempt to derive conservation of electric charge from a postulated gauge symmetry. In the light of Noether's work, it is puzzling that Weyl's argument uses local gauge symmetry. This paper explores the relationships between Weyl's work, Noether's two theorems, and the modern connection between gauge symmetry and conservation of electric charge. This includes showing that Weyl's connection is essentially an application of Noether's second theorem, with a novel twist.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
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.
Citations of this work BETA
No citations found.
Similar books and articles
Harvey R. Brown & Peter Holland, Dynamical Versus Variational Symmetries: Understanding Noether's First Theorem.
Katherine A. Brading (2002). Which Symmetry? Noether, Weyl, and Conservation of Electric Charge. Studies in History and Philosophy of Science Part B 33 (1):3-22.
Harvey Brown & Katherine Brading (2002). General Covariance From the Perspective of Noether's Theorems. Diálogos (Puerto Rico) 79:59-86.
Katherine Brading & Harvey R. Brown (2004). Are Gauge Symmetry Transformations Observable? British Journal for the Philosophy of Science 55 (4):645-665.
Victor J. Stenger (1987). Was the Universe Created? Free Inquiry 7 (3):26-30.
Harvey R. Brown & Peter Holland, Simple Applications of Noether's First Theorem in Quantum Mechanics and Electromagnetism.
Holger Lyre (2001). The Principles of Gauging. Philosophy of Science 68 (3):S371-S381.
Added to index2009-01-28
Total downloads24 ( #165,381 of 1,911,506 )
Recent downloads (6 months)1 ( #457,144 of 1,911,506 )
How can I increase my downloads?