In the previous post we had some stuff on the pull back map but also those links to complicated theorems. Therefore I tried to explain the inner workings of the pull back map that pull higher dimensional complex & circular numbers back to the complex plane in as easy to understand chunks as I could.

In the next post I only use advanced high school math (for my own country that would be the VWO education line, the classes 5 and 6) and for the rest any university student that has followed an elementary crash course on the complex plane.

I am very glad I could find such simple ways to pull back higher dimensional exponential circles and curves back to that goodie good old Euler formula that says stuff like e^it is related to the cosine and the sine functions.

All stuff is boiled down to things you can see in the teaser picture below, no new advanced 20th century math ideas, only using century old well known trigonometric equations and that is all…

Once more: Higher dimensional complex number systems are just there, it is a natural thing like the natural numbers like 1, 2, 3,  4, 5 etc are. Where the complex plane is something like a fish bowl, the higher dimensional complex & circular numbers are a big ocean.
But if you as a so called professional math professor can only swim your circles inside the fish bowl, can you survive the currents in this giant ocean?

No of course you can’t, so good luck with your future life inside the complex plane.

After this blah blah blah (remark the math professors are also extremely smart if you look at how much salary they suck in let alone the ‘research money’ they get to form global research groups that use at best two dimensional complex numbers) it is time for the teaser picture:

At last I would like to remark that the pull back map is on equal footage with the modified Dirichtlet kernels for my individual emotional system; I am glad I am still alive and can find stuff like this.

Till updates.

Originally I planned to upload tonight the new post on the integrals related to the number tau for the circular multiplication. But I found this very cute result from some other math professors, I believe these are two brothers Borwein & Borwein.

Beside that I also had more time to spend on a very important hobby: Brewing beer…;)

Four years back when I for the first time derived integrals like this with the cosine and sine stuff to the power three in it, I just had no clue whatsoever how to find analytical stuff for their value. These kind of integrals cannot be solved by throwing in some simple primitive or so.

At present I have two independent proofs for their value.
Back in the time I knew there was some internet website that contains a whole lot of integer sequences so if I could find that I would have at least some analytical clue about that nasty problem. Only a long time later I found that website, but is said ‘we do not know’.
Or ‘unknown integer sequence’ or whatever what.

But yesterday when I tried more or less to get a negative result my luck changed for the better: the website with the integer sequences in it actually returned an answer.

And for my few pounds of human brain tissue the answer was completely crazy.
Therefore I decided to put the result of this Borwein function on top in the teaser picture and my own idea’s at the bottom. Here it is:

I have absolutely no clue as why these two things should be the same, but four years back I had absolutely no clue as what this numerical value like 1.2092 actually meant…

The link to what might be the Borwein & Borwein function

A248897 Decimal expansion of Sum_{i >= 0} (i!)^2/(2*i+1)!.
https://oeis.org/A248897

Let’s leave it with that, see ya in the next post.

I know I know, not posted much around here lately.
And on top of that I found some serious typo’s in the pictures from just two posts back: the post upon the factorization on the Laplacian operator.

These typo’s are rather serious; we just cannot have all those wrong and misleading differentiations going not repaired.

But reparation of old faults is time consuming.

On the other hand, the curl operator has a lot of fresh new insights in simple number systems like the 2D complex plane or my own hobby; the 3D complex number system.

For myself speaking I am still wondering as shall I include the ‘Theorem without Vodka’ in the new post or just leave it out? I do not know what I will do in the future but here is the Google translate version of the Theorem without Vodka:

May be I just leave it out, after all this is supposed to be an update on the differential curl operator.

End of this post, till updates.

About four days ago suddenly the comment section of the third post on the Schrödinger equation got activated and about 100 comments did stream in every day.

Now about six months ago when I started this new website I did allow for comments made by readers but it never worked properly. So, what my own life concerns, I was in that perfect super-position of being a friendly person (allowing people to comment) and being a psychopath that sees little value in communicating with normal people (not allowing people to make comments).

And I also did not know how to repair the problem, just like the problem with the categories in the beginning of this website: it just does not work but you have no fucking clue as why it does not work. And now when the categories work perfectly I do not know why they work perfectly…

Anyway to make a long story short: This evening I made some upgrades to this website and I hope that I will not see any longer all those weird spam for buying viagra online or looking at advertisements for videos from lady boys.

Not that I am against viagra: If you are a stupid person and you keep on eating bread several times a day and as a result your arteries begin to clog, you can go to your medical doctor.

Your medical doctor will prescribe you viagra and will not tell you ‘stop eating that fucking bread’.

And if you are a retard, you will buy viagra online…

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Ok, after having said that in the next week I will finally publish a relatively long update on the new [a, r, t] coordinate system. It is all finished on some very minor details so the process of turning this into a new set of pictures can begin.

See you around, think well & live well.

Most days I am working on a new post for the magnetics page and I am trying to put together 3 linear polarised light rays in order to get a circular polarised thing.

Since it is on the magnetics page I try to avoid all math things 3D complex numbers related.
And guess what happens? Every day I am deleting the stuff from the previous day.

This goes on for almost a week by now, but rewriting the stuff does not help much: if you do not have the right math tools, what can you do?

Now in the science of physics they can super-position two light rays in order to get a circular polarisation. I know it can also be done with three light rays but I cannot get the math on order.

On top of that, all those thousands and thousands of ‘professional professors’ get a pay rise year in year out. But the yearly payrise of these non performers is what later will be my entire yearly pension. So why should I try to explain how to combine three lightrays into a circular polarisation in the first place?

After all the professors always behave the same; there is no difference between math and physics professors, they are all skilled money parasites. And at best, perform like a ball of camel shit.

So in order to kill my own frustration, let me post an empty picture:

And after that, hang in some stupid non working math:

Ok, I feel levels of frustration in my brain declining but once more ponder the question:

Why should I carry wisdom to overpaid non-performing professors?????

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End of this post, till updates.

About 10 days ago I took a look at how much pictures I have crafted since the beginning of this website and I decided to take a nice holiday.

So in this update no hardcore math or softcore math, I want to show you just a background picture and talk a bit about that. Here is the picture:

For the human brain if you see things of similar shape but one is smaller compared to the other, most of the time the thing that looks small has a greater distance from where you are.
Of course there are deviations from this: When you see a child standing before a grown up you simply observe a small person standing before a larger one.

Now look carefully at the picture above, constantly the larger things are beyond those one layer smaller and constantly if it is one layer smaller it looks like the lean on the larger one.

It was years ago that by accident I found this kind of stuff, for myself speaking it looks beautiful because it transports your brain instantly into two directions:

1. The smaller things should be further away &
2. The smaller things lean on the larger ones so they should be closer…

So this gives a nice discrapency in the brain of the reader, what vision will prevail or will there be some circular insight like a cat trying to catch it’s own tail?

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In another development I crafted reason number 24 as why electrons and stuff like that are the long sougth magnetic monopoles, here is a teaser picture for that (click on it to land on the other website on the page about magnetic stuff):

Ok, that was more or less what I had to say today.
Till updates.

With my previous post I thought that I am leaving behind a lot of readers into the woods. But the goal of this new website is making easy to digest updates.

Therefore just three pictures explaining a bit more about the 3D Mandelbrot set.
I wish the computer code writing folks a lot of luck; if you are the first that
has a view on the 3D Mandelbrot set you have won the race.

By the way; out there is something known as the Mandelbulb or so. It looks nice but believe it has nothing to do with the 3D Mandelbrot set. This Mandelbulb thing is not based upon a reliable way of multiplication in three dimensions, the results they found are nice looking but it is just not based on a rigid way of 3D multiplication…

Anyway, here are three pictures all sized 550 by 550 pixels that should shine a bit more light on the minds of those that write the code:

On a video channel named Numberphile from Google they have a good explanation about how to color the pixels according to the Mandelbrot scheme. Here is the link:
The Mandelbrot Set – Numberphile

In all dimensions where complex numbers can be defined, you can do this…
Till updates, think well and live well.

This is a short update because this week I bought myself a second hand particle accelerator for just 6 €. It has a vacuum chamber and three electron cannons, the vacuum chamber is coated with phosphoric materials so that when particles from the cannons smash into it, a nice quantum related photon comes out.

This means: For 6 Euro I bought myself a small old color television.

It does not have much to do with higher dimensional complex numbers, but for myself speaking I think that all spin half particles are in fact magnetic monopoles.

Now since we live in the year 2015 we can also purchase rather cheap very strong magnets.
In the next photo you see a combination of those strong magnets with the three electron guns.

As you see on inspection: There is a circular part where the electrons do not reach the screen.
But in my view, if electrons were magnetic dipoles this would never happen.

Yet it happens… So think about it for a short time; what explains that weird circular ring where all electrons have gone void?

If those small electrons were magnetic dipoles, can you explain this result?

Have a nice Christmas & till updates.