Also if the universe is infinite, is it the one with or without axiom of choice ?

Can you always pick the center of each universe in a universe of infinite universes ? Any point can be the center, you just need to pick one.

I'm sorry if this is a stupid question... but what on earth is the center of the universe? Must there even be such a concept? If the universe is truly infinite, I would think that implies it can be both expanding and centerless at the same time.

A circle has a center which is a point in that circle such that the distance(s) from the center to every point on the boundary of the circle is the same. The center is within the space of the circle but not on the boundary.

A sphere has a center which is in that sphere but not on the surface (boundary) of the sphere.

A 4-sphere has a center which is in that hypersphere but not in the volume boundary of the hypersphere.

...

It is entirely possible that the universe is a 3s1t shape which is part of the boundary of an NsNt shape, and there is a center to it which is not usefully accessible -- or even discoverable -- from anywhere in the universe.

Ah yes, the center of the universe is obviously an inaccessible real point. I actually really like this idea.

Still centerless seems like it could carry less baggage and be just as "correct", but IDK.

> Or might this imply that the electrons are actually distinguishable in some way?

I mean... they're not in exactly the same position and state at exactly the same time, no? That would seem to distinguish them.

Position of an electron is actually not quite the same as position of a rock or bouncy ball. I've heard it described as an electron "cloud".

OK, but does that affect my point? I didn't delve into that because it seemed irrelevant.

I'm not really qualified to go into this, but maybe read a little bit about the Pauli-Exclusion Principle works. I get the feeling that might be illuminating.

> > Atoms are able to select which indistinguishable electrons will fill the lowest energy orbitals.

> Or might this imply that the electrons are actually distinguishable in some way? Or maybe I should re-phrase; could each electron actually have some (possibly hidden) identity?

I still don't see what that has to do with the above. The context with and relation to their surroundings seems entirely sufficient to distinguish between electrons, so they're not indistinguishable, even if, in isolation, they are.