Monthly Archives: June 2019

Short intro to the rain theorem.

3D complex numbers, Quantum mechanics

At first I wanted the next post to be about the so called Bell experiment because with this experiment comes the so called Bell inequalities and weirdly enough these are a perfect for the determinant of 4D complex numbers. Everything just looked perfect: the Bell inequality has maximum breaching when a bunch of correlations takes on the value of two time the square root of two. But that value of two time the square root of two is also what makes a 4D complex number on the unit sphere in 4D space noninvertible… So everything looked perfect but in the end it did not work because I could only find solutions with correlations above 1 (or below -1) and we all know that is not possible.

So let’s put the stuff on the shelf and wait a few years… The Bell experiment is one of those crazy quantum experiments and I am very interested in it because the original proposition as done by Mr. Bell was done with electrons and positrons. Yet results with electrons and positrons have never been published, all there is are experiments with photons and all those experiments seem to violate the Bell inequality…

Anyway a few days back I came across some old work I had written and that contained stuff like the anihilation theorem and the rain theorem, I did absolutely not remember what it all was about. And oh yes, it was that time that I wrote about a new set of so called roots of unity. And I remembered that I more or less hoped all those years ago about some kind of reaction from the math professionals. Of course there was zero reaction one more year; in those long lost years I still had to learn that university math professors are all shit. That is a uniform property of those people; they are all perfumed princes in relatively high paid permanent jobs. And perfumed princes do what the average perfumed prince think is important: we do perfumed prince stuff like the Langlands program and oh oh oh how smart we are. Luckily we have no dealings with those dirty peasants that live in the mud and cannot afford our exclusive perfumes. Tax payers should be happy they can finance us because what is a modern economy without smart math professors?

Once more I was stupid to the bone: The fact that you can easily find 10 videos with math professionals stating that the roots of unity are so very wonderful does not mean if you throw in a new set of unity roots there will be a healthy response…

I will leave the new post more or less like the old one, I only change the title and will do some editing to make it more readable. For example in the past I used the matrix environment for multi-line calculations while at present day I use the align command in the Latex typesetting program.

Here is the old file from five years back:

The Song of Omega Reloaded
http://kinkytshirts.nl/rootdirectory/just_some_math/3d_complex_stuff02.htm#05Jan2014

Ok, a small screen shot of the new roots of unity. Actually they are already five years old but the perfumed math professors have of course better things to do. They are so smart…

As you see it could use a bit typo improvement, in the meantime let it rain perfume.

End of the intro to the rain theorem.

Ok, I have done editing and decided to make a very simple teaser picture containing a simple calculation that indeed shows that if you square the opposite point of 1 on the exponential circle you get +1.
As such we have three solutions to the equation X^2 = 1 in the complex 3D space: the usual X = +1 and -1 and the third solutions lies on the exponential circle. Here is the teaser picture and likely later this week I will hang in the rest on this website.

Ok, it is not an advanced & fancy calculation but it is still 1.

Till updates.

On the acceleration of electrons in time-constant magnetic fields.

Magnetism, Quantum mechanics

This post is a continuation of the 01 May post on magnetism where we estimated that it is totally impossible that actual spinning of the electron would cause it’s magnetic properties. In the 01 May post I told you I had never seen how in physics they think electrons get accelerated in an inhomogeneous (and constant in time) magnetic fields. But when I finally tried to do some internet searching it was terrible easy to find. The offcial view is that they have an expression for the potential energy and the force is simply the gradient of the potential energy. But in order to explain the splitting in a beam in two in the Stern-Gerlach experiment something very strange has to happen: half of the electrons go into a somewhat lower energy and the other half in a somewhat higher state.

By all standards this is strange. Compare it for example to the next: You are standing on top of a building or a mountain and you start throwing rocks. Half of those rocks start falling to the ground as as such they are lowering their potential energy. The other half start flying up and as such gain potential energy like they feel anti-gravity. By all standards this is strange…

In my version of electrons where they are not magnetic dipoles but carry magnetic charge, you do not have this strange energy behavior because all electrons simply will follow their magnetic charge and as such all will go to lower energy levels.

And if the official version was true, that is half of the unpaired electrons turn into a lower energy and the other half in a higher energy spin state, that instantly brings problems when it comes to explaining permanent magnet behavior. If I grab a permanent magnet and stick it to a piece of iron, if half of the unpaired electrons would have spin up and the other half spin down, the magnet would never stick… Basically the official version of explaining the SG experiment is that you get those separation in unpaired electron spin states while when you stick a permanent magnet to a piece of iron all unpaired electrons will align to the magnetic field of the permanent magnet… That is highly contradictionary!

When just over five years back I found out the results of the SG experiment for the first time, my understanding of using an inhomogeneous magnetic field has always been that the electron feels tiny different forces with it’s north and south pole by the applied extermal magnetic field. And because the electron is so tiny, how could one unpaired electron pull an entire silver atom in two different directions?

Anyway this post is 8 pictures long, I had to made two of the a larger the rest is of the usual 550×775 pixel size.

Oh oh am I now shaking in fear because of the above photo as found on the preprint archive? If true, that would smash my idea of electrons carrying magnetic charge because if they carry magnetic charge it would not make much of a difference if the applied external magnetic field is inhomogeneous or not. A constant magnetic field simply would do.
Ok, for the time being is this the end of this post.