English

How Weyl stumbled across electricity while pursuing mathematical justice

History and Philosophy of Physics 2008-04-22 v1 General Relativity and Quantum Cosmology

Abstract

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 context of discovery, and is enough (together with a couple of simple and natural operations) to derive all of source-free electromagnetism. Weyl's repeated references to coordinates and gauge are taken to express equal treatment of direction and length.

Cite

@article{arxiv.0804.2947,
  title  = {How Weyl stumbled across electricity while pursuing mathematical justice},
  author = {Alexander Afriat},
  journal= {arXiv preprint arXiv:0804.2947},
  year   = {2008}
}
R2 v1 2026-06-21T10:32:25.350Z