## Spacetime Structures of Electromagnetic and Matter Waves

**Authors:** Vu B Ho

In this work we discuss the possibility to construct spacetime structures for electromagnetic and matter waves in which the universal speed in relativity plays a decisive role. Based on our recent works on physical interactions that are associated with the geometric and topological structures of the spatiotemporal manifold, we suggest that when the spatiotemporal manifold decomposes n-cells at each point on the manifold then it can be regarded as a fiber bundle where the base space is the spatiotemporal manifold and the fiber is the n-cells. We will discuss the case when the n-cells are n-spheres therefore the total spatiotemporal continuum will be regarded as an n-sphere bundle, in particular when n equals 6. We will show that the universal speed is the speed at which there is a conversion between the temporal and spatial submanifolds of the spatiotemporal manifold. Since in both Maxwell and Dirac fields there is a conversion between the temporal and spatial forms of matter and since temporal matter is assumed to be associated with the temporal submanifold of the spatiotemporal manifold and spatial matter with the spatial submanifold, therefore in order to describe the conversion of matter we need to formulate the corresponding conversion between the spatial and temporal submanifolds. As a result, the 6-sphere fibers form the required medium for the electromagnetic and matter waves. From the description of waves in terms of spacetime structures it is reasonable to state that both matter and electromagnetic waves are oscillations of the intrinsic geometric structures of the total spatiotemporal manifold.

**Comments:** 10 Pages.

**Download:** **PDF**

### Submission history

[v1] 2018-07-24 18:54:44

**Unique-IP document downloads:** 31 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.*

*
*