First some music

Time repeats itself. You have already read this ages ago and you will do it again after ages will have passed. And here is the evidence:

I have always been fascinated by mathematics and because of this I often think about mathematical things. Recently I wanted to know if there is some kind of system behind the size of the angles of regular polygones (regular as in all angles have the same size and all lines between the angles are even and have the same size). I found out that the sum of the angles of a triangle is 180°. The sum of the angles of a square is 360°. The sum of the angles of a pentagon is 540°. So obviously it always gets 180° more. The size of the individual angles can be calculated simply by dividing the sum of the angles by the ammount of the angles. So every angle of a square has 90° because 360 / 4 = 90.

I wondered if I could also do this into the other direction. So the sum of the angles of a bigon would have 180° less than that of a triangle, i. e. 0° and the individual angles would therefore also have 0°, since 0 / 2 = 0. A regular bigon would therefore be two lines with the same size, which are placed on the same position. The two angles with 0° would be the ends of the lines. I went even further and calculated a monogon, which would have a sum of -180° (i. e. 180° because in geometry the minus only means “in the other direction”) and thus also the one angle would have 180°, since 180 / 1 = 180.

Now, how would such a monogon look like? It would have only one angle, so it would also only have one line. This line is perfectly even and still its end would be at the same point as its start (namely at the angle of the monogon). It would be even and only reach into one direction but still eventually return to its start (like if you go into the west further and further you will eventually return to your start coming from the east). This means that our whole space/universe is eternal into every direction. **Eternal, but not infinite, because the line will still have a certain size (like the equator of planet earth has a certain size).**

There could yet be another form of infinity of space. You can divide a metre into 100 centimetres and a centimetre into 10 millimetres. But can you do this infinitely often? I do not think so and here is why: There is an ancient paradox described by the greek philosopher Zeno of Elea, which is called the Dichotomy paradox: A runner wants to run from a certain point A to another point B. Before he can get there, he must get halfway there. Before he can get halfway there, he must get a quarter of the way there. Before traveling a quarter, he must travel one-eighth; before an eighth, one-sixteenth; and so on. So it seems as if it would not be possible, but we all know that it is possible. So, why is it possible? The answer can only be, because at a certain point you cannot divide the space further. Let’s pretend this smallest space unit would be a millimetre. Then he would not need to move half a millimetre before a whole millimetre, but he would simply move a millimetre within one smallest time unit (= moment) and then another millimetre. **Our world is not analogue but digital.**

You can do the same with time. Before a day passes by, half a day has to pass by and so on. So it seems as if it was not possible that time passes, but it does. Why?** Because again there have to be smallest time units = moments, that cannot be divided further into smaller units.**

What do we have now? A world with a finite size consisting of (**a certain number of!**) smallest space units. Further we have smallest time units (moments). Every moment the matter/information within the smallest space units moves/changes **= time passes**. Because of the finiteness of the space units (there is a certain number of them), there has to be a finite number of the combinations of the position of the matter/information within the space units and thus a finite number of moments. Every moment depends on the moment before it and determines the moment after itself. So what happens, if all possible moments have passed? They will start again, because every moment is followed and preceded by another moment.

**Time has never started, time will never stop, time is not infinite but yet eternal, it will always repeat itself. Time is like a spinning wheel.**

**Hail Jǫrmungandr!**