What we believe matters.
In math and physics, in love and war, we must decide where we will start. We make an educated guess from this place and do the work to verify that we were right to do this.
Matter, everything around and that is us, exists in different states. The same substance can move through different phases, but it is always the thing it is.
The Copernican principle states that the universe is pretty much the same everywhere. Really. Really really. The principle makes sense if you consider the scale, if you consider that when you let things exist on grand scales differences are so goddamn minimal that if it is meant to reflect the truth the language must change. Differences make way for similarities. Average it out and it’s all the same. It’s all static. Remember this.
Isotropy is uniformity. Isotropy applies at some specific point in whatever space you’re working with and states that the space looks the same no matter what direction you look in it.
There are equations that attempt to explain our Universe, nearly do, mathematically, at least. At least, as best we can. At least, at the moment. These are Einstein’s Equations, you know, the things you know and don’t know. There is a process to get to a solution to the mathematical problem of our Universe and it starts with deciding where to start, which metric to use.
To do this, consider what the answer could be, what it could look like. Accept the fact that certain factors will remain undetermined and that this is a part of the equation. That you’re not trying to know everything, that you’re trying to know something and then something else and then something else. The undetermined factors get smaller the more you learn. Constraints necessarily arise.
[Y]ou’re not trying to know everything…you’re trying to know something and then something else and then something else
Consider the universe as fluid, as constantly changing. The universe, our homogenous and isotropic home. It just is what it is, even in different phases; it grows and grows and the differences shrink down to nothing. Space curves, that’s allowed. Matter follows the law of whatever it is.
Factor yourself in. You’re the center for now. You are the observer and the cosmos are all around you. Factor yourself in.
The metric we use is the Robertson-Walker metric which leads to the Friedmann Equations, which “allow the scale factor and the curvator of the Robertson-Walker space to vary with time.”
In this model, in our model, we leave so much space for growth that we automatically factor it in — the growing. Meanwhile, the scale factor depends on time, believes in time, needs time as much as an equation can need anything. Not emotionally, but necessarily, because the Universe evolves with time, is changing with time, and it’s not over yet. We’re counting on that evolution so much that we’ve already made space for it.
The scale factor normalizes the present time, believes in it enough to rely on it. It will always be what it is, which is here, which is now, which is the point of you looking out and looking in every direction.
When the physics are done, when we get some sort of final answer, we can plug it into the Einstein Equations, and with a little work come to something compact and complicated and incomplete and there, right there. Something that tells a piece of the story while the story continues to evolve.
Things are moving randomly; things are different in ways that don’t matter, which isn’t to say that things don’t matter. Which is to say that there’s an evolution. And an equation. And undetermined factors. And growth. And that there is believing in something enough to factor it in, always factor it in.
Consider the universe.
Consider what matters.
In physics, in science, in math we start with a point and then we prove it.
To have importance or significance
Physical substance in general, distinct from mind and spirit
That which occupies and possesses rest mass, especially as distinct from energy
: Lack of order or predictability; gradual decline into disorder
: A thermodynamic quantity representing the unavailability of a system’s thermal energy for conversion into mechanical work, often interpreted as the degree of disorder or randomness of the system
To find the solutions to the equations for our Universe (Einstein’s Equations), what do we think the metric could look like? What do we want it to look like?
How do we want to be proven right?