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.