Article citationsMore>>

Parsley, R. (2004) The Biot-Savart Operator Electrodynamics on Bounded Subdomains of the Three-Sphere. PhD Thesis, University of Pennsylvania, Philadelphia.

has been cited by the following article:

• TITLE: A Self-Linking Field Formalism

  AUTHORS: Edwin Eugene Klingman

  KEYWORDS: Gauss-Linking, Self-Linking, Biot-Savart Operator, Green’s Function, Laplacian, Maxwell’s Eqns, Gravitomagnetism, Self-Dual, Geons

  JOURNAL NAME: Journal of Modern Physics, Vol.12 No.4, March 15, 2021

  ABSTRACT: The Gauss-linking integral for disjoint oriented smooth closed curves is derived linking integrals from the Biot-Savart description of the magnetic field. DeTurck and Gluck extend this linking from 3-space R3 to SU (2)space of the unit 3-sphere and hyperbolic space in Minkowski R1,3. I herein extend Gauss-linking to self-linking and develop the concept of self-dual, which is then applied to gravitomagnetic dynamics. My purpose is to redefine Wheeler’s geon from unstable field structures based on the electromagnetic field to self-stabilized gravitomagnetic field structures.