Mathematical Physics


A Classification of Geometric Interactions

Authors: Vu B Ho

In this work we discuss the possibility to classify geometric interactions with respect to the dimensions of the submanifolds which are decomposed and emitted from a differentiable manifold. The manifold, which is assumed to be an elementary particle, can be assumed to have the mathematical structure of a CW complex which is composed of n-cells. The decomposed n-cells will be identified with force carriers. In particular, for the case of differentiable manifolds of dimension three, there are four different types of geometric interactions associated with 0-cells, 1-cells, 2-cells and 3-cells. We discuss in more details the case of geometric interactions that are associated with the decomposition of 3-cells from a differentiable manifold and show that the physical interactions that are associated with the evolution of the geometric processes can be formulated in terms of general relativity.

Comments: 5 Pages.

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Submission history

[v1] 2018-05-19 02:11:41

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