Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published December 1, 1975 | public
Journal Article Open

The electromagnetic field on a simplicial net

Sorkin, Rafael

Abstract

The "Regge calculus" approach is extended to the electromagnetic case. To this end an ''affine'' tensor formalism and associated exterior calculus are developed. The simplicial approach to linear field equations is illustrated by the two-dimensional scalar wave equation, on which also a discussion of the treacherous character of the continuum limit is based.

Additional Information

Copyright © 1975 American Institute of Physics. (Received 11 April 1975) Jim Gunn was very helpful during the development of these ideas, especially those concerning the continuum limit. Supported in part by the National Science Foundation [MPS75-01398). Erratum: The electromagnetic field on a simplicial net. Rafael Sorkin. J. Math. Phys. 19, 1800 (1978).

Files

SORjmp75.pdf
Files (622.9 kB)
Name Size Download all
md5:2f1dd36275711fa217c136a7fc6a3739
568.0 kB Preview Download
md5:bc61b0e192e0ee411f1fb975e9f558f6
54.9 kB Preview Download

Additional details

Created:
August 22, 2023
Modified:
October 16, 2023