Hello to all my readers and contributors:
I have been very busy these past several days preparing my research on Kaluza-Klein five-dimensional theory into a formal paper. I now have a draft paper sufficiently advanced, that I would like to share it with my readers and contributors for their comment.
I am not going to reproduce this directly on the blog as there are dozens of equations and the paper itself is already 25 pages. However, I have linked a PDF copy of the latest draft below, for your perusal and comment.
Kaluza-Klein Theory and Lorentz Force Geodesics — 2-19-08 Draft
I know that there are literally dozens if not hundreds of Kaluza-Klein papers already out there in the world. This one, I believe, is the one that actually describes how nature works, and how classical gravitation and electrodynamics actually do become united in nature.
Looking forward to your thoughts.
(A PDF version of this Lab Note may be downloaded from Lab Note 2 Intermezzo.)
Those who have followed the development of this lab note know that I have been working with a Kaluza-Klein theory which regards the fifth dimension as timelike, rather than spacelike. After reviewing some key literature in the field including a Sundrum Lecture recommended by Martin Bauer and several articles by Paul Wesson linked over at The 5-D Space-Time-Matter Consortium, I have undergone a conversion to the view that the fifth dimension needs to be spacelike – not timelike – and specifically, that it needs to be a compact, spacelike hypercylinder. In this conversion, I am motivated by the following reasoning, which gives a geometric foundation to intrinsic spin:
This lab note will be brief.
On April 28, 2007, I posted a paper which went from baryons and confinement to strings to particle phenomenology to atomic physics and deuterons and a whole range of phenomenology including fermion generation replication which appeared to lend itself to a common, underlying explanation based on the work I have previously discussed with respect to baryons and confinement in particular. The underlying thread throughout, is to connect spacetime symmetry to internal symmetry using the Pauli fermionic exclusion principle. I am afraid, however, that this paper may have been buried amidst all of the other postings, so I want to specifically call it to your attention, at the link below:
On The Natural Origin of Baryons, Short-Range Mesons, and QCD Confinement, from Maxwell’s Magnetic Equations for a Yang-Mills Field
In the spirit of “Lab Notes” which are a scientific diary of theoretical explorations, I ask you in particular to look at the second half of this paper, starting at section 6. In football, there is something known as a “Hail Mary” pass where the quarterback throws the ball all the way down the field hoping for a touchdown. The second half of the above paper is just that. While certainly speculative, it seems to me that this ties together a very diverse range of observable phenomenology which has not previously been tied together. It is probably the most audacious piece of physics writing I have done, and I don’t want it to get lost in the shuffle.
So, if nothing comes of it, so be it. But, it may well be that someone in the end zone will catch this long pass, and physics will come to rest in a different place from where it rests today. That is why it is so important to take good lab notes!