Relativity and Cosmology

   

Grounding the Kaluza-Klein Fifth Dimension in Observed Physical Reality, Using Dirac’s Quantum Theory of the Electron to Ensure Five-Dimensional General Covariance

Authors: Jay R. Yablon

We require all components of the Kaluza-Klein metric tensor to be generally-covariant across all five dimensions by deconstructing the metric tensor into Dirac-type square root operators. This decouples the fifth dimension from the Kaluza-Klein scalar, makes this dimension timelike not spacelike, makes the metric tensor inverse non-singular, covariantly reveals the quantum fields of the photon, makes Kaluza-Klein fully compatible with Dirac theory, and roots this fifth dimension in the physical reality of the chiral, pseudo-scalar and pseudo-vector particles abundantly observed in particle physics based on Dirac’s gamma-5 operator, thereby “fixing” all of the most perplexing problem in Kaluza-Klein theory. Albeit with additional new dynamics expected, all the benefits of Kaluza-Klein theory are retained, insofar as providing a geometrodynamic foundation for Maxwell’s equations, the Lorentz Force motion and the Maxwell-Stress energy tensor, and insofar as supporting the viewpoint that the fifth dimension is, at bottom, the matter dimension. We find that the Kaluza-Klein scalar must be a massless, luminous field quantum to solve long-standing problems arising from a non-zero scalar field gradient, and we suggest multiple pathways for continued development.

Comments: 48 Pages.

Download: PDF

Submission history

[v1] 2018-06-06 10:07:16
[v2] 2018-06-27 23:22:33

Unique-IP document downloads: 28 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