I have been drinking coffee and I feel the need to get some ideas out of my head; I will fine tune them later but right now there is a sense of urgency to put them down.
I've got numbers on the brain. Numbers are great tools to use as an aid to illustrate ideas and demonstrate concepts.
If we were to start counting the objects that surround us, that number would quickly grow. If there are a finite number of objects in the universe, it would be a very large number composed of an infinite number of digits.
Let's say that there are ten objects in a study room. A table, chair, desk, lamp, computer, monitor, cup, keyboard, mouse and pencil. We assign each one of those objects a number from one to ten with no particular hierarchy, ten different numbers for ten different objects. No matter what number I assign to each object, there will always be ten objects, that is a fact.
Now if we were to allocate a number to a position in the room where those objects could be placed, we would have different permutations for where those objects could be positioned.
We have another room adjacent to the first room, the bathroom which also contains ten objects. Pretend that each room would only hold ten objects, so in order to move an object from one room, we need to exchange it with another. For the sake of argument, let's say that objects like the bathtub and sink can also be transferred. This creates different possible combinations of what objects exist in any one room at a time. When all the initial objects of each room have been replaced, the original study may resemble the bathroom and vice versa.
If we were to number every single object in reality, we would soon find that we'd start to reach an infinitesimal number, lets say that a number for every object is composed of an array of ten integers from 0-9. Each object is distinctly not the same as another object because they are not able to occupy the same space at the same time. The array of numbers could not be the same as any other array. If one array within an infinite number of arrays is changed, it will become the same as another array. The paradox is that if that happens then the infinite number of arrays becomes gradually finite which could not be possible because it creates gaps, or become a single entity which could not move.
So how does this system deal with this problem? - It does something similar to my first example of exchanging objects between two rooms. So if an array decides to change, then another array has to change too. The best way to visualize this maybe is to imagine a checkerboard made up from a 100 x 100 grid and imagine that there are snakes on this board that each occupy ten squares. The snakes do not overlap or occupy the same square as any other snake, as soon as one snake moves, the other snakes shift position so that they can all stay on the board.
For every action we take, there are an infinitesimal number of others. For each point in time, there is a singular event which marks that time. Imagine that time and space is made from a board of an infinite number of squares, each square numbered from 1 - infinity. If I were on the square labeled number five and move to square six, then someone else could occupy the free square number five, but if square six was occupied I would bump into them and have to find another free square. Because I am interacting with objects and people, I can assume that they are within a localized space that exists in a small range of infinity.
There are certain ways that things move on this board, and it follows a pattern. In mathematical terms it could be called an algorithm. The migration from one square to another follows particular patterns, which explains the forces in our world. The board is rigid and infinite, unmoving, the objects on the board move to their own algorithms. A physical representation of an object may be a particle. When a particle moves it has to displace another particle, there are no free spaces to begin with only the constant exchange of positions.
Each particle contains an infinite array to determine what and where it is. I change one of the values within the array and the arrays of other particles will shift simultaneously to prevent the particle occupying the same space.
Lately, I have been interested in the Fibonacci numbers which is found in nature, often referred to as the golden section. Fibonacci does not only describe the way things look but the way they move.
Two particles cannot occupy the same square at once, what happen when you force them to is that they have to drastically push surrounding particles out of the way to make two squares available for two particles. In order to stabilize the system, all the particles in the surrounding area are forced into new permutations.
Okay, I'm going to bed, I'll refine this to make more sense.