Relativity and Cosmology

   

On the Motion of Quantum Particles and Euclidean Relativity

Authors: Vu B Ho

In this work we discuss the motion of quantum particles when they are viewed as three-dimensional Riemannian manifolds by extending the isometric transformations in classical physics to the isometric embedding between smooth manifolds. According to the Whitney embedding theorem, in order to smoothly embed three-dimensional Riemannian manifolds we would need an ambient six-dimensional Euclidean space. As has been shown in our previous works, a six-dimensional Minkowski pseudo-Euclidean spacetime can be obtained by extending one-dimensional temporal continuum to three-dimensional temporal manifold. While the question of whether it is possible to smoothly embed three-dimensional Riemannian manifolds in six-dimensional pseudo-Euclidean spacetime remains, we will show that it is possible to apply the principle of relativity and the postulate of a universal speed to formulate a special theory of relativity in which the geometry of spacetime has a positive definite metric by modifying the Lorentz transformation. The modified Lorentz transformation gives rise to new interesting features, such as there is no upper limit for the relative speed between inertial reference frames, the assumed universal speed is not the speed of any physical object or physical field but rather the common speed of expansion of the spatial space of all inertial frames. Furthermore, we also show that when the relative speed approaches infinite values, there will be a conversion between space and time.

Comments: 6 Pages.

Download: PDF

Submission history

[v1] 2017-10-22 06:15:08

Unique-IP document downloads: 13 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.

comments powered by Disqus