Dual space model

• In this article, we will look at the states of presence / absence of space.
• Let us analyze 0-dimensional and multidimensional information Spaces.
• We show the relationship of space and mind.

So, imagine that Space can take only two states: there is and is not (0/1). We define that to describe different states at one point, 0-dimensional space is enough. All further arguments will be built on these two postulates.

In a zero-dimensional space, a point can have states not only equal to 0 or 1, but also any other values. In the case when the values ​​are greater than 2, one can speak of a multiple model of Space. However, for ease of understanding in this article we will talk only about the dual model.

The only thing that “can” Space in these conditions is to change one's states:
- I am,
- I'm not.

In fact, it is a 0-dimensional cellular automaton. Looking at it, we can detect only the pulsation: transitions from one state to another.
')
If the change of these states is imposed on the timeline, then we will move to a one-dimensional Space . For example:

0 1 0 1 1 1 0 1

It turns out the line of states. If you close the line along the edges, then the Space will take the form of a ring.

In this case, we obtain a one-dimensional cellular automaton with two states (0 and 1). Under certain conditions (for example, Wolfram's rule 110) his behavior will be on the border of chaos and order. It is known that Rule 110 is Turing-complete, which means that any computational procedure can be implemented using this cellular automaton.

Next, we can limit the dimension of the line (its length) and start filling in new lines. Get a rectangle, for example:

0 1 0 1 1 1 0 1
1 0 0 0 1 1 0 1
0 1 0 1 1 1 0 0
0 1 0 1 0 0 0 1

If you close the rectangle along the edges, then the Space will take the form of a torus - this is already a two-dimensional state . An example of a Turing-complete two-dimensional cellular automaton is the game "The Life" of John Conway.

We can not be limited to this and add a third dimension - we get a parallelepiped . If you close the box on all sides, the Space will take the form of a tesseract .

Thus, it is possible to increase the dimension of Space to infinity, but in essence, it will always remain 0-dimensional.

Since the Space is always 0-dimensional, and the zero-dimensionality is determined only by two states, we cannot say whether the Space exists or not. However, by observing the Universe, we can assert that it exists. By changing your states you can say that Space exists and does not exist at the same time. This change of states gives rise to all the diversity of the observed world.

Since we have Mind and are in 0-dimensional Space, our self-consciousness can be represented as a sequence of 0 and 1. Since this sequence will be inseparable from Space, then we can say that all Space is Mind, and every Mind is Space.

Since Space is 0-dimensional and takes only two states (0/1) with neither beginning nor end, one can say that any point is both a beginning and an end. Thus, at any point in Space there is Mind. In addition, there is only one point in 0-dimensional Space.