I was reading a book about time in which the thermodynamic arrow of time was being questioned in regards to seeing the pre-bigbang state as a special orderly state as a fallacy.

We, by chosing this state as it being "special" wrongly argue that time has a starting and ending point. The idea that this or that state of a system is "special" because of its order is a fallacy because there are no parameter to decide whether or not a system is orderly or not.

Now comes my question:

>Let's say we got some gas (properties are not that important) and this is being "sprayed" through a hole that points to the middle of a cube.

>Let us now select a few points and by this create a matrix
>We then, through some visualization with the help of some tech thingy, see how the matrix develops for the passage of 1 minute.
>If we then use a starting vector that gives a residence of all atoms at the place where it was being sprayed into and calculate the state of this system for a parameter of time of lets say 10^30, we would get limes vector, no?

And if this means there is a fixed residence, then this system would look orderly, no?
Even though it should have very high entropy.