A universe from scratch or the 5-points problem

If you would like to simulate a universe, are you able to imagine the void, the emptyness, the nothing?

You even don't have a point, dimension \(n=0\), nothing. I'd call it nil, the empty room that isn't even a room. But does this nil has limits? Conditions?

If you want to simulate a universe from scratch it would be useful to have a clean room, clean of everything, a nil, but with limits and conditions. As limitations I would think of time and length first. Defining the lower limits. Like \(t_{nil}=1\) and \(l_{nil}=1\). And a rule that every, whatever, immanation of something is equilibrated, sums to 0. Moreover, nothing can be hidden from nil within its limits. nil will force any entity to unfold its components.

So, you have nothing, fine, a clean room without even dimensions. Just purely nothing. And you can place something into it (that's the goddamned god part not to explain, but let's ignore that).

I can't place something with three dimensions into something that has no dimensions at all. Got to begin with the beginning. I really need to construct dimension \(n=0\), a point. And if I want further dimensions, the point must have all this included, somehow.

So god-like I overload a point with other points. As a point in dimension \(n=0\) is comparable to a black hole, it could contain any amount of points, all with a distance of zero to each other point.

Being not greedy I try it first with one additional point. Rule implied is, after rollout, every point must still have the same distance to every other point, whatever distance in whatever dimension.

nil will see this point and "ask" for its representation. If I roll out the point I get a new dimension. Any distance is fine, as any distance is equal between two points, but if nil limits me, the maximum seems to be \(l_{nil}=1\). So I end up with a line, having length \(l_{nil}=1\) and describing the distance to the newborn point.

Trying another overloaded point will result in an equiliteral triangle. And a new dimension. Still time does not exist, not even the third dimension. But the y-point is not 1. It will be \({\frac {\sqrt 3} {2}}\), something close to 0.86. Does this mean, that space gets deformed?

So, okay give it a try, overload with three additionals points. Still fine, you get a equiliteral tetrahedron and a new dimension. And the same deformation like in the second dimension.

Almost enthusiastic you add another point and starve. Because, as far as we know, there exists no geometric equation for an object where five points have the same distance to every other point. Really?

Sure there are mathematical equations giving escape ways, but they have no real world representation. On the other hand these mathematical equations require a universe making it possible to think this equations. So far, far away from starting a universe. But good to remind.

The only possibility I could imagine so far now, is that the last point forms the dimension time. If everything happens before \(t_{nil}=1\), every point would have the same distance to the dimension axis time. Sure?

The points located already have different position in the space they occupy. But, not to forget, almost underneath the limits set by nil, where \(l_{nil}=1\). So, if all should have the same distance to every other point in every dimension, it would be legitimate to imagine a rotation, where every point occupies within \(t_{nil}=1\) every position of every other point.

But this implies to think about the rotation order. Sequentially the second point will move to the first point, the third point to the second and so on. Is a possibility.

And we have to unfold the third dimension still to time. If we follow the geometric procedure we used for the other dimensions, we must connect four equiliteral tetrahedrons to the base equiliteral tetrahedron and connect them at the new dimension in the same distance.

The rotation of an equiliteral triangle is imaginable and the rotation has a direction. Using an equiliteral tetrahedron will create interference between different rotations. An extended equiliteral tetrahedron will cause pure chaos on the first sight. In sense of rotation and direction. Which could be thought as waves. Even if you can predict all waves you won't be able to predict the resulting interference in detail. Only roughly.

I think this is a good start, a simple chaos machine, producing possibilities.

BUT, until now, we only cover a quarter of the possible space and we are not equilibrated at all.

Should we throw four other points into the point and give all but the base point a descrete property of charge? Would almost imply negative time. Luckily our clean room says that the time minimum is \(t_{nil}=1\). Thus time is measured in absolute, a charge would not change the time itself, only an axis representation. But this would not sum up to zero.

On the other hand, in geometry, no negative distances exist. A negative sign is just a direction sign. Very optimistic you could suppose that the direction of time is only related to the axis direction, but time itself, as any geometric distance, is positive.

Nevertheless, if charge leads to the opposite of attraction, minus will take opposite site to plus, being distracted, not attracted, this has to explained, limited or ignored as idea. As long as we think it as a direction, easy, no problem. But if we think it energy?

Could be worth, to take a look. nil says us, everything should sum up to zero. So positive and negative energy or distance will still sum up to zero. But their behavior might be different. Distance will stay or expand. But enery? Could we use energy as the opposite direction of the expanding distance? As there is no negative distance in geometry, can we implement energy as a negative distance. By only applying the rules of nil. Equilibration.

This would mean, the distance is done and can't be undone, but the energy wants back to its source. A rough foundation for gravitation. If nil doesn't do the job already (acting like a Higgs field).

Anyway, I would end up with overloading a virtual still-not-point with nine points, where eight points have a discrete property charge which influences the dimension direction. Moreover, object oriented thinking, I give the second point pair the property charge and all other points will inherit this discrete property, like a b-tree.

On time axis thinking, this and additional properties can cause a lot of unwanted implications. Like negative time. Where it gets very important to get the correct perspective, that works and explains.

If this inspired you, let me know. Maybe we can improve the model. Build a mail address from the site name, using the part without ch as mail name at the site.