Re: Question about 5-D Kaluza Klein Theories with a Timelike rather

On Feb 26, 2:01 pm, DRLunsford <antimatte...@xxxxxxxxx> wrote:
On Feb 16, 5:23 pm, "Jay R. Yablon" <jyab...@xxxxxxxxxxxx> wrote:

I am curious if there are any reviews of theories where the extra
dimension is *timelike* rather than spacelike, i.e., with a +---+
signature, which of the problems that appear from an extra spacelike
dimension are averted, and what new perceived problems arise by
switching the extra dimension over from spacelike to timelike.

Pauli, "Relativitatstheorie", Enzyklopadie der matematischen
Wissenschaften, Bd. V17, Teubner, Leipzig, 1921. English translation,
"Theory of Relativity", reprinted by Dover Publications, 1981.
Supplementary note 23.

-drl

Hi Jay, and all.
I'll quote below DRL's post, then comment.

On Feb 25, 2:27 pm, "Jay R. Yablon" <jyab...@xxxxxxxxxxxx> wrote:
Hello to all:

I have just today completed my paper titled "Kaluza-Klein Theory and
Lorentz Force Geodesics," which I have linked below:

http://jayryablon.files.wordpress.com/2008/02/kaluza-klein-and-lorent...,

and also submitted the draft linked above, to one of the leading physics
journals for consideration for publication.

One of the thinks I have been beating my head against the wall over, is
to deduce the Maxwell stress-energy tensor from the 5-dimensional
geometry using Einstein's equation including its scalar trace. I
finally got the proof nailed down this morning, and that is section 10
of the paper linked above.

I respectfully submit that the formal derivation of the Maxwell
stress-energy tensor in section 10, provides firm support for the STM
viewpoint that our physical universe is a five-dimensional Kaluza-Klein
geometry in which the phenomenon we observe in four dimensions are
"induced" out of the fifth dimension, and that it support the
correctness of the complete line of development in this paper. Section
10 -- as the saying goes -- is the "clincher."

This is the first place I am making a public posting. I'll post this
over at my weblog later on.

By the way -- I saw an exchange between Charles and Peter in another
thread. As is probably apparent, my approach is to *postulate* the
Lorentz force, and require that this be geodesic motion in 5-dimensions.
Everything else follows from there. The final push to the Maxwell
tensor in section 10, rests on adopting and implementing the STM
viewpoint, and applying a 4-dimensional variational principle in a
five-dimensional geometry. If you have a serious interest in this
subject, take a look athttp://astro.uwaterloo.ca/~wesson/.

Comments always welcome.

Best regards,

Jay.
____________________________
Jay R. Yablon
Email: jyab...@xxxxxxxxxxxx
co-moderator: sci.physics.foundations
Weblog:http://jayryablon.wordpress.com/
Web Site:http://home.nycap.rr.com/jry/FermionMass.htm

Quoting DRL,
"Pauli, "Relativitatstheorie", Enzyklopadie der matematischen
Wissenschaften, Bd. V17, Teubner, Leipzig, 1921. English translation,
"Theory of Relativity", reprinted by Dover Publications, 1981.
Supplementary note 23.
-drl "

I'll quote just the last sentence of the above Pauli ref,
"The question of whether Kaluza's formalism has any future
in physics is thus leading to the more general unsolved
main problem of accomplishing a synthesis between
general relativity and quantum mechanics.

In the same ref, just past Eq.(27a), "Geometrically one
can interpret x^5 as an angle variable,"...

My comment, from the standpoint of being an electronics
technician, who works on 1 dimensional circuits using
current and voltage is the existance of a phase angle,
at every point in a circuit, especially one that oscillates.

So in that sense, the phase may be a 2nd dimension
added to the existing 1D circuit and that way of thinking
has become fairly standard in the electrical industry.

It is known that one may always transform the phase to
an actual current and voltage in the circuit (line) at any
point, however the discussion of phase is ingrained in
electrical and electronics engineering because it's more
clear.
Regards
Ken S. Tucker

.

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