Kaluza-Klein has been started by Einstein too but it/he failed due to
misunderstanding the nature of time in mass.
As in GR where S^3 is the solution topology he did go to S^4 the other
failure in thinking as a simply connected surface cannot carry/ be
smoothly covered by flux due to crossing!! This happens when you model
stuff without knowing its nature (EM flux = magnetic flux lines).
All mass is rotation only, that involves always a plane (manifold) =
1x1. So 5 dimensions is a bad match. you need to go from 4 --> 6 at
least. Also you have to understand that the basic action is 1x1-->1
(rotation covers 3 independent orthogonal acting dimensions) . This can
be done with the Biot Savart operator. From this you construct 3
rotation bodies in the 4 rotation frame and then 4 rotation bodies in
the 5 rotation frame and finally you get the combined center 5 rotation
body in the 6D frame. SO(4) has 4 symmetric rotations + one asymmetric.
This 5th rotation is where the golden ratio comes into play and makes
all 5 rotations looking symmetric.
The other surprise is that all looks like standard torus mechanics at
the end.
J.W.
On 18.03.2021 15:30, CB Sites wrote:
Interesting references. It reminded me of something I recalled from
one of my EM classes many years ago where the professor injected that
adding a 5th Dimension allowed for the unification of EM and Gravity
and the basis for a theory of everything. Later learning that it was
Kaluza-Klien theory and it's been around since the early 1900s. So as
a quick background, a wikipedia reference may help.
https://en.wikipedia.org/wiki/Kaluz-Klein_theory
<https://en.wikipedia.org/wiki/Kaluz-Klein_theory>.
Recently there was a proposal that the dark matter problem could be
solved by the introduction of a 5th dimension, and there have been
other cosmological hints of a 5th dimension and an elegant model of
black-holes can be built in 5 dimensions. So maybe there is
something to the addition of a higher dimension when dealing with EM.
On Thu, Mar 18, 2021 at 8:29 AM Jürg Wyttenbach <[email protected]
<mailto:[email protected]>> wrote:
The main problem with classic thinking is people cannot escape
their mind or what they are able to see.
The full extent of EM theory can only be grasped in higher
dimension than 4.
As a starter you can dig into Maxwell on S^3 :
https://www.math.upenn.edu/grad/dissertations/ParsleyThesis.pdf
<https://www.math.upenn.edu/grad/dissertations/ParsleyThesis.pdf>.
But you must go to SO(4) (S^5 for rotations) to get the true
picture of the basic static relation between source charge and EM
fields, what leads to the stable nucleus.
So everything you today read about black holes etc. is outrageous
nonsense, as today's accepted.. physics has no clue about the
structure of mass.
By the way: Toroidal fields first were investigated by Tesla -->
Tesla coils. All EM waves basically are toroidal but we try to
make them as spherical as possible. In the far field the toroidal
field components can be (most of the time) neglected. Most of the
literature about pure toroidal fields or scalar EM waves is
classified. But just google some terms I gave.
J.W.
On 18.03.2021 11:32, William Beaty wrote:
Cosmic strings in a garage-lab?
The main thing seemingly missing from Maxwell is ...closed
ring-defects or "smoke rings." They appear in fluids, but not in
fluid-analogy for EM fields. Some amperes trapped in a
superconducting ring are similar, but b-fields are not EM
Torsion. Hugo Gernsback had tiny articles about pulsed coils
which launch ring-vorticies rather than EM waves. (Where would
he get such an idea?) Maybe cosmic strings are accidentally
produced by sharp-pulsed circuitry? If one hits you in the face,
would you feel anything? (Obviously the signature to watch for
is odd EM pulses which travel far *slower* than lightspeed. If
coils don't detect them, maybe an NE-2 bulb might respond? Try
to persuade one to coast to a halt. (Seal it in an argon-filled
Mumetal box, keep it as a pet?)
RM Kiehn, heterodoxy-attracting topologist of U. Texas Houston,
has this too-obscure paper below, which I've been meaning to
figure out someday, found on his old site "Cartan's Corner."
http://www22.pair.com/csdc/pdf/rmktop.pdf
<http://www22.pair.com/csdc/pdf/rmktop.pdf>
see his site: http://www22.pair.com/csdc/
<http://www22.pair.com/csdc/>
New add: http://www22.pair.com/csdc/car/carfre56.htm
<http://www22.pair.com/csdc/car/carfre56.htm>
Also, large article pdf collection:
http://www22.pair.com/csdc/pdf/ <http://www22.pair.com/csdc/pdf/>
Hey, Keihn autobio http://www22.pair.com/csdc/pdf/autobio.pdf
<http://www22.pair.com/csdc/pdf/autobio.pdf>
list of papers:
https://www.researchgate.net/scientific-contributions/R-M-Kiehn-2024567949
<https://www.researchgate.net/scientific-contributions/R-M-Kiehn-2024567949>
http://wiki.naturalphilosophy.org/index.php?title=Robert_M_Kiehn
<http://wiki.naturalphilosophy.org/index.php?title=Robert_M_Kiehn>
Kiehn 2017, Photons, propogating topological singularities
https://tinyurl.com/kiehnsphotons
<https://tinyurl.com/kiehnsphotons> (Nature of light: what is a
photon?)
https://www.amazon.com/Nature-Light-What-Photon/dp/0367387107/
<https://www.amazon.com/Nature-Light-What-Photon/dp/0367387107/>
---
Also OT, some crazy 2005 fiction to consider:
the Aether vortical objects of N. Tesla
http://web.archive.org/web/20050213014146/https://farshores.org/wmtesla.htm
<http://web.archive.org/web/20050213014146/https://farshores.org/wmtesla.htm>
On Wed, 17 Mar 2021, Don wrote:
Tutor wanted: An astute mathematical-physicist that will explain
what
topology is talking about in regard to electromagnetic theory,
and provide
contemporary speak for me to assimilate in discussion over free
web-conferencing software.
(((((((((((((((((( ( ( ( ( (O) ) ) ) )
)))))))))))))))))))
William J. Beaty SCIENCE HOBBYIST website
billb at amasci com http://amasci.com <http://amasci.com>
EE/programmer/sci-exhibits amateur science, hobby projects, sci
fair
Seattle, WA 206-762-3818 unusual phenomena, tesla coils,
weird sci
--
Jürg Wyttenbach
Bifangstr. 22
8910 Affoltern am Albis
+41 44 760 14 18
+41 79 246 36 06
--
Jürg Wyttenbach
Bifangstr. 22
8910 Affoltern am Albis
+41 44 760 14 18
+41 79 246 36 06
