The idea is that an unknown quantity could be literally anything. Anything includes things that either change or are a representative of infinity in some way.

I got this idea going over some old math skills in algebra. I had also previously watched 2 math documentaries titled "Dangerous Knowledge" (pt. 1 & 2) and "Einstein's big idea."

The idea is basically that you don't get to manipulate an equation for free. There is a cost to everything. So if you have to multiply X by 3 (3X) then if X is a quantity that is dynamic, changes, or is assigned random values at random, then in having X + X + X all three X's could potentially be different values.

Naturally, if this is assumed, someone would have to prove that there are integers that are in fact dynamic, change, or assign random numbers. It could very well be assumed that these have to be irrational numbers, but I don't think that is necessarily the case. Take for example that we cannot predict the movement of an electron going around a group of protons and electrons, for example. That is an example of what could be theorized as one of these dynamic integers.

Going back to the idea that manipulating an equation isn't free, if you were to take one of these unknown variables that do have a dynamic, non-repeating range (in other words a fruition of some sort of infinite dimension) then this means that time within the equation actually passes while manipulating the equation (at least the parts where the unknown variable is involved). This idea comes from Einstein's first theory of relativity in that his calculation assumed things would remain a constant speed instead of accounting for changing speeds of a particular thing. Einstein ofc later rectified this theory which is the theory of relativity we have today.

What are people's thoughts on this? Is it a sign that my mental illness is a variable that I am not considering? Is what I am saying make any sense at all? If I am being irrational, I would appreciate some evidence as to why I am wrong.