A Self-Linking Field Formalism  

作　　者：Edwin Eugene Klingman Edwin Eugene Klingman(Cybernetic Micro Systems, Inc., San Gregorio, CA, USA)

机构地区：[1]Cybernetic Micro Systems, Inc., San Gregorio, CA, USA

出　　处：《Journal of Modern Physics》2021年第4期440-452,共13页现代物理（英文）

摘　　要：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 <em>R</em>³ to <em>SU</em> (2) space of the unit 3-sphere and hyperbolic space in Minkowski <em>R</em>^1,3. 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 <em>geon</em> from unstable field structures based on the electromagnetic field to self-stabilized gravitomagnetic field structures.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 <em>R</em>³ to <em>SU</em> (2) space of the unit 3-sphere and hyperbolic space in Minkowski <em>R</em>^1,3. 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 <em>geon</em> from unstable field structures based on the electromagnetic field to self-stabilized gravitomagnetic field structures.

关 键 词：Gauss-Linking Self-Linking Biot-Savart Operator Green’s Function Laplacian Maxwell’s Eqns GRAVITOMAGNETISM SELF-DUAL Geons 

分 类 号：O17[理学—数学]