Naked Science Forum
Non Life Sciences => Physics, Astronomy & Cosmology => Topic started by: Gasparri on 04/09/2009 20:23:55
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Hello, I have been researching the mobius concept and have
found some interesting extensions. If anyone is interested
in these I'll point to some illustrations. One of the extensions
resembles a monopole which might be interesting to look at
considering the news they have found magnetic monopoles.
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I must have missed the news about finding magnetic monopoles. Do you have a reference for this.
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I've not heard any news about the discovery of monopoles either.
Which of Mobius's 'concepts' have you extended, and in which way? He came up with a few different things.
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Didn't he invent the Mobius strip club?
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Magnetic monopoles have not been found but a recent article in a major science journal and reported in the science press (new scientist 9 May) has created a structure that behaves as if it was a magnetic monopole.
Thinking of a conventional electromagnet it appears not to be possible to have an isolated pole however if you think of a material that consists of a lot of little magnetic dipoles in an antiferromagnetic configuration. That is where the little bar magnets are all in opposition cancelling each other out rather than in phase adding up to create a uniform magnetic field, it is then possible to have one of the bar magnets out of step (like a dislocation in a crystal or a hole in a semiconductor) to create a single magnetic pole that can move through the material.
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I must have missed the news about finding magnetic monopoles. Do you have a reference for this.
Sure, here you go: http://physicsworld.com/cws/article/news/40302
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Didn't he invent the Mobius strip club?
That was his brother, Mobius Hefner.
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I've not heard any news about the discovery of monopoles either.
Which of Mobius's 'concepts' have you extended, and in which way? He came up with a few different things.
Well, I started by looking at the mobius band from a different
perspective. I noted an alignment associated with the twist part where in rotation it lines up with with a spot on the opposite side of the band. Looking at the spot as the crossing point of x and z across
the band the twist aligns to y. So, now looking at the mobius band
as a 3D object and taking the band to be made up of two elements
rather than one strip I saw that many additional elements could
be added without change to any of the physical properties of
the plane mobius band. The results are sure different though when you
cut it in half.
This goes on and on. Flat mobius, spherical mobius, mobius that
when cut in half yields a rectangle, mobius when cut in half
yields a hexagon. Only difference? Positioning of the elements.
One type mobius reproduces itself when cut in half, thirds
or any number of cuts. Cut it in half 12 times you get
12 baby mobius each 1/12 the width of the mama mobius.
Forgive the bad video examples, best I could do on
a B movie budget.
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Good stuff Gasparri. But the moebius isn't a magnetic monopole. It's an electron. Or a positron, depending on the chirality. The trefoil version is a proton, or an antiproton. The next one up is a pentaquark. Here you go, I'd forgotten about this, my old paper: http://www.relativityplus.info/. See figures 7 and 29. It maybe goes back as far as Kelvin, but see http://www.cybsoc.org/cybcon2008prog.htm#jw for the John G Williamson and Martin van der Mark paper "Is the electron a photon with a toroidal topology?". It's been a bit overlooked IMHO, along with pair production.
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Good stuff Gasparri. But the moebius isn't a magnetic monopole. It's an electron. Or a positron, depending on the chirality. The trefoil version is a proton, or an antiproton. The next one up is a pentaquark. Here you go, I'd forgotten about this, my old paper: http://www.relativityplus.info/. See figures 7 and 29. It maybe goes back as far as Kelvin, but see http://www.cybsoc.org/cybcon2008prog.htm#jw for the John G Williamson and Martin van der Mark paper "Is the electron a photon with a toroidal topology?". It's been a bit overlooked IMHO, along with pair production.
In playing with the phase relationships I made one totally y
and the structure is exactly the same as the 3D 2 side and it
resembled the 3D 2 side made with circle elements which was
a shape I made into a windmill. The only 'visual' difference is
in the x phase it has two sides and one edge, in the y phase
it has two edges and one side. This latter y phase seems to
have a different and much better aerodynamic personality. I made
a little test windmill with three strips of poster board and
and a shish kabob stick for an axial. Having taped well the joins
at 120 degrees I oushed the stick through the joins for a
3D y one side two edge mobius on a stick. Looked delicious.
Since the 'hubs' can slide freely along the stick you can see the
circular loops change pitch as you slide them together and
apart. Since the angles on each side perfectly align aerodynamically
the thing makes the most perfect windmill blade design I
have ever seen. I already see at least twice the torque
the old one generated as a six inch paper model hanging
on a thread under the ceiling fan. I think this design
merits closer inspection by the windmill industry. It lends
itself to being constructed on a large diameter tube in which
the generator coils remain stationary with respect to the
rotating tube. When the hubs are brought together the blades
feather out to almost no drag.
Well I've bored you long enough I have a new puppy to tend to.