A Self-Linking Field Formalism

• 作者: Edwin Eugene Klingman
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Gauss-Linking Self-Linking Biot-Savart Operator Green’s Function Laplacian Maxwell’s Eqns GRAVITOMAGNETISM SELF-DUAL Geons
• 年，卷（期）: 2021,（4）
• 页码范围: 440-452
• 页数: 13页
• 分类号: O17

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.