Conformal inversion and maxwell field invariants in four- and six-dimensional spacetimes

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

Conformally compactified (3+1)-dimensional Minkowski spacetime may be identified with the projective light cone in (4+2)-dimensional spacetime. In the latter spacetime the special conformal group acts via rotations and boosts, and conformal inversion acts via reflection in a single coordinate. Hexaspherical coordinates facilitate dimensional reduction of Maxwell electromagnetic field strength tensors to (3+1) from (4+2) dimensions. Here we focus on the operation of conformal inversion in different coordinatizations, and write some useful equations. We then write a conformal invariant and a pseudo-invariant in terms of field strengths; the pseudo-invariant in (4 + 2) dimensions takes a new form. Our results advance the study of general nonlinear conformal-invariant electrodynamics based on nonlinear constitutive equations.

Original languageEnglish (US)
Title of host publicationGeometric Methods in Physics - 32nd Workshop, 2013
EditorsPiotr Kielanowski, S. Twareque Ali, Anatol Odzijewicz, Martin Schlichenmaier, Theodore Voronov
PublisherSpringer International Publishing
Pages233-242
Number of pages10
ISBN (Print)9783319062471
DOIs
StatePublished - 2014
Event32nd Workshop on Geometric Methods in Physics, 2013 - Bialowieza, Poland
Duration: Jun 30 2013Jul 6 2013

Publication series

NameTrends in Mathematics
Volume64
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

Other

Other32nd Workshop on Geometric Methods in Physics, 2013
Country/TerritoryPoland
CityBialowieza
Period6/30/137/6/13

All Science Journal Classification (ASJC) codes

  • General Mathematics

Keywords

  • Conformal symmetry
  • Electromagnetism
  • Nonlinear constitutive equations

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