Authors: Vu B Ho
In this work we extend our discussions on the possibility to classify geometric interactions to temporal manifolds according to the dimensions of decomposed submanifolds n-cells. A temporal manifold is a differentiable manifold which is accompanied a spatial manifold to form a spatiotemporal manifold which represents an elementary particle and can be assumed to have the mathematical structure of a CW complex. As in the case of spatial manifolds, a temporal differentiable manifold can also be assumed to decompose n-cells. The decomposed temporal n-cells will also be identified with force carriers for physical interactions. For the case of temporal differentiable manifolds of dimension three, there are also four different types of geometric interactions associated with 0-cells, 1-cells, 2-cells and 3-cells. We also discuss the possible dynamics from these geometric interactions in terms of Newtonian spatiotemporal mechanics. In particular we show that, unlike spatial manifolds in which the contact forces that are associated with the decomposition of 0-cells would render mass points to join to form elementary particles, the forces that are associated with the decomposition of temporal 0-cells are short-lived therefore temporal matter cannot form stable physical objects as in the case of mass points in spatial continuum. We also discuss in more details the case of geometric interactions that are associated with the decomposition of 3-cells from a spatiotemporal 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: 12 Pages.
[v1] 2018-07-07 02:22:40
Unique-IP document downloads: 15 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.