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The standard U(1) “gauge principle” or “gauge argument” produces an exact potential A=dλ and a vanishing field F=ddλ=0. Weyl has his own gauge argument, which is sketchy, archaic and hard to follow; b...
Bachelard,Enriques and Weyl:comparing some of their ideas
logicism intuitionism philosophy of mathematics
2016/5/30
Some aspects of Federigo Enriques mathematical philosophy thought are taken as central reference points for a critical historic-epistemological comparison between it and some of the main aspects of th...
Weyl and von Neumann: Symmetry, Group Theory, and Quantum Mechanics
symmetry groups quantum mechanics structural realism
2008/4/18
In this paper, I shall discuss the heuristic role of symmetry in the mathematical formulation of quantum mechanics. I shall first set out the scene in terms of Bas van Fraassen’s elegant presentation ...
How Weyl stumbled across electricity while pursuing mathematical justice
Weyl unified theory gravitation
2008/4/14
It is argued that Weyl’s theory of gravitation and electricity came out of ‘mathematical justice’: out of the equal rights direction and length. Such mathematical justice was manifestly at work in the...
A priori prejudice in Weyl's unintended unification of gravitation and electricity
general relativity electromagnetism
2008/4/9
It is almost always claimed that Weyl deliberately unified gravitation and electricity in the rectification of general relativity he attempted in 1918. In fact the unification, as Bergia and Ryckman h...