Ultimate proof of Magnetic Vortex, free book and videos

[CycleGuy]

http://www.pitt.edu/~mingchen/Research_papers/CGSY.071509.pdf

Vortices arise as static solutions to gauge field equations in two-space dimensions. Unlike monopoles, magnetic vortices not only arise as theoretical constructs but also play important roles in areas such as superconductivity [1, 30, 37], electroweak theory [3, 4, 5, 6], and cosmology [81]. The mathematical existence and properties of such vortices have been well studied [7, 8, 9, 10, 25, 27, 37, 43, 44, 48, 50, 54, 55, 57, 65, 68, 69, 75, 86]. Naturally, it will be interesting and important to establish the existence of dyon-like vortices, simply called electrically charged vortices, carrying both electric and magnetic charges. Such dually charged vortices have applications in a wide range of areas including high-temperature superconductivity [40, 47], optics [11], the Bose–Einstein condensates [33, 39], the quantum Hall effect [66], and superfluids.

This paper tried to apply the temporally-infinite-base 4-D manifold of Minkowski space-time to their equations, as outlined on page 3, but a "nontrivial temporal component of the gauge field" frustrated their efforts, so they only considered the vortexes in our "snapshot" of time, in other words, static without considering temporal effects.

In Theorem 9.4, they postulate a multiplet of n − 1 Higgs fields each lying in the Cartan subalgebra of su(n) (ie: they extended their equations out over a finite-dimensional field to approximate the infinite temporal base field, to try to arrive at at least some form of temporally-inclusive solution), leading them to conclude that "such a magnetically and electrically charged solution realizes an SU(n) vortex configuration asymptotically and topologically represented by the m^th integral class in the classification space of the vortex vacuum manifold", closing with "To conclude, in this paper, we have developed an existence theory for the electrically and magnetically charged vortex solutions arising in the classical Abelian and non-Abelian Chern–Simons–Higgs models using a constrained variational approach.".

Note the vortex seems "static" because magnetism stresses the QVZPE field density, and thus affects time... so the vortex appears to be static taken from the "snapshot" of our time frame... when in reality it is spiraling through time... the centrifugal interface is spiraling out behind our time frame, whereas the centripetal is spiraling out ahead of our time frame.

Now, taken with what I've said above about how generators work, I'm sure the brighter minds here can think of many ways of exploiting this phenomenon.

[minnie]

Cycle,really interesting stuff,I'm afraid it's way beyond my level but I think
I can sort of see the relevance of my frame of reference and time and thus
a glimpse of a "static" vortex. A couple of years ago I had the impression
that physics had gone most of the way,now I realise that there's a huge amount
of really exciting things to be resolved.

[CycleGuy]

Another paper:
http://www.math.jhu.edu/~js/julia-zee-joel4.pdf

In their now classic 1975 paper [10], Julia and Zee studied the Abelian Higgs gauge field theory model. Using a radially symmetric field configuration ansatz and assuming a sufficiently fast decay rate at spatial infinity, they were able to conclude that a finite-energy static solution of the equations of motion over the (2 + 1)-dimensional Minkowski spacetime must satisfy the temporal gauge condition (1.6), and thus, is necessarily electrically neutral. This result, referred here as the Julia–Zee theorem, leads to many interesting consequences. For example, it makes it transparent that the static Abelian Higgs model is exactly the Ginzburg–Landau theory [6] which is purely magnetic [9, 12]. Since the work of Julia and Zee [10], it has been accepted [4, 7, 8, 11, 13, 20] that, in order to obtain both electrically and magnetically charged static vortices, one needs to introduce into the Lagrangian action density the Chern–Simons topological terms [2, 3], which is an essential construct in anyon physics [22, 23]. See also [5].

On the other hand, it is well known that electrically and magnetically charged static solitons, called dyons by Schwinger [17] (see also the related work of Zwanziger [24, 25]), exist as solutions to the Yang–Millis–Higgs equations over (3 + 1)-dimensional spacetime [10, 14, 16]. Therefore, the Julia–Zee theorem is valid only in (2 + 1) dimensions.

In other words, the vortices are only static in (2 + 1) dimensions under the Julia-Zee theorem when one considers a trivial temporal component A₀=0. When considered in a 4-D Minkowski manifold, the vortices rotate... through that non-trivial temporal component... through time.

And some information on quantum vacuum angle:
https://en.wikipedia.org/wiki/Vacuum_angle

In quantum gauge theories, in the Hamiltonian formulation, the wave function is a functional of the gauge connection A and matter fields phi. Being a quantum gauge theory, we have to impose first class constraints in the form of functional differential equations—basically, the Gauss constraint.

In flat spacetime, space is noncompact R³. Since the Gauss constraints are local, it suffices to consider gauge transformations U which approach 1 at spatial infinity.

At any rate, we can see that there are gauge transformations U homotopic to the trivial gauge transformation. These gauge transformations are called small gauge transformations. All the other gauge transformations are called big gauge transformations, which are classified by the homotopy group π₃(G) where G is the gauge group.

The Gauss constraints mean that the value of the wave function functional is constant along the orbits of small gauge transformation for all small gauge transformations U. But this is not true in general for large gauge transformations.

It turns out that if G is some simple Lie group, then π₃(G) is Z. Let U be any representative of a gauge transformation with winding number 1.

The Hilbert space decomposes into superselection sectors labeled by a theta angle θ.

Or, put in its simplest terms, time "twists" space... conversely, space is "twisting" through time. Thereby, given that magnetism stresses the QVZPE field and thus affects space-time, it induces a "twist" to it that we see as a vortex.

[profitis]

Quote Cycleguy:"I don't know about all that spirituality stuff. I'm attempting to understand it from a more mechanical point of view."

What are you saying here sir.are you denying the existence of physical freak-out phenomena external to the mind or just wanting rational explano for it?

[Acca]

ll Here is Dale Pond on dogmatic science and "not understanding"  the "other Science that "CAN-NOT"  have physical properties" and science "WILL NOT"   allow debate on this topic...."  Here is an explanation of "why".. short clips here from Colorado..at least citizens here can smoke dope and get high, and have "other views of reality" GET IT !!


https://www.youtube.com/watch?v=Ivq1GcG2leg
https://www.youtube.com/watch?v=bWep9Z4eoT8
https://www.youtube.com/watch?v=hYm36ukY5sc
https://www.youtube.com/watch?v=NvAbbtHBiCE
https://www.youtube.com/watch?v=34uGtuvQCo8
https://www.youtube.com/watch?v=1mN2y8u17bk


I will say "thanks" that there is such a great debate going on with out "you guys trying to rape each other"  as education has deeply imbeded most people to such a degree that no amount of "proof" will change the other position till death... and it takes a lot  to sit and listen and  to eat "humble pie" ... I  too have quit posting here as I got scars from "milehigh" and tinselkoala" and forum mambers who are always attacking, NOT accepting that I see things differently from them.. and am just sick of getting attacked by having a different point of view from "dogmatic, accepted status quo, etc.." and go to hell,  fuck you stupid shit.. die.. Now this is why Wesley has stopped also ..posting too.

Al... aka... Acca...and aka "Magnetflipper" and  aka "Magnetvortex"....

P.s. magnets have a "magnet vortex" and yes it was discovered by Howard Johnson in Virginia Tech in 1980's and science has not accepted that and so 35 years later debate still goes on and on .. "dogma is a bitch"... how ever science did discover that using a electron microscope, yes it is real but we will keep it quiet.. link .. https://www.bnl.gov/newsroom/news.php?a=11635


Here is one of mine (below)...."Magnetvortex"..
My clip and video, if you don't like it don't wach it !!! make your own !!
https://www.youtube.com/watch?v=W_Az_sZXjHU



And  clip from Ken the "nutter"..
https://www.youtube.com/watch?v=9yi0WHKtRd4

Challenging the 2nd Law of Thermodynamics -