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The Mathematical Origin of Gravitational Singularities

The Mathematical Origin of Gravitational Singularities
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摘要 In this note we give a geometrical presentation to the 4D Riemannian curvature as it relates to the Newtonian gravity in the 4D Lorentz manifold. The compacting of the proper time as is necessary for the unification with the Maxwell electrodynamics, as given by Einstein and Kaluza-Klein, should the universe be only of 4D space-time, led to the concept of gravitational field singularity sinks known as black holes, that would not be acceptable under a 5D homogeneous manifold through which the 4D Lorentz manifold evolved by application of the Perelman-Ricci Flow entropy mapping, which is consistent with both Maxwell suggested magnetic monopole, the quantum Higgs vacuum theory and the Gell-Mann standard model for hadrons. In this note we give a geometrical presentation to the 4D Riemannian curvature as it relates to the Newtonian gravity in the 4D Lorentz manifold. The compacting of the proper time as is necessary for the unification with the Maxwell electrodynamics, as given by Einstein and Kaluza-Klein, should the universe be only of 4D space-time, led to the concept of gravitational field singularity sinks known as black holes, that would not be acceptable under a 5D homogeneous manifold through which the 4D Lorentz manifold evolved by application of the Perelman-Ricci Flow entropy mapping, which is consistent with both Maxwell suggested magnetic monopole, the quantum Higgs vacuum theory and the Gell-Mann standard model for hadrons.
作者 Kai Wai Wong Wan Ki Chow Kai Wai Wong;Wan Ki Chow(Department of Physics and Astronomy, University of Kansas, Lawrence, USA;Department of Building Services Engineering, The Hong Kong Polytechnic University, Hong Kong, China)
出处 《Journal of Modern Physics》 2020年第12期1911-1917,共7页 现代物理(英文)
关键词 Black Hole Gravitational Field Singularities Within a Lorentz Manifold Proper Time Compacting Perelman Mappings as It Relates to Riemannian Curvature Black Hole Gravitational Field Singularities Within a Lorentz Manifold Proper Time Compacting Perelman Mappings as It Relates to Riemannian Curvature
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