Good visualization but inaccurate. Space between galaxies in a cluster and even the stars in a galaxy is also growing. The difference is in scale. There's so much distance between galactic clusters and the largest structures of the universe that added up that expansion amount is so much bigger. The balloon analogy with galaxies as dots on the surface is closer since the dots also do grow some, but the balloon would have to be huge to capture a good scale comparison.
My understanding was that in a gravitationally bound system like that, the orbits would be slightly larger (or slower for the same distance) based on the rate of expansion and the distance, but not grow any unless the rate of expansion increases. Like maybe the earth is a few angstroms farther from the sun than in a not expanding universe, but that number doesn't change as long as the expansion keeps going the same. Same for galaxies and clusters.
I think that expansion doesn't increase distance, but velocity between objects (or so was my interpretation back when I looked at the formulas). That means that moving objects speed up over time. As such, orbital velocities increase, too, and that lifts their orbit - similar to when a rocket on a closed orbit propulses forward.
But I might be wrong; I feel 70% certain about this one.
There’s no center of the surface of the balloon (approximating the balloon as a sphere and ignoring the nipple).
If you are standing on the earth, there is no center of the surface of the earth. The actual center of the earth requires movement in the 3rd dimension, but the surface is 2 dimensional.
If our universe is hyper spherical, the “center” would be something unreachable; it would require moving in the 4th spacial dimension.
Also, don't forget to flour your galaxies in order to keep them in their respective places and prevent them from all rising to the top of your universe.
Is this the metaphor straw that broke the metaphor camel's back metaphorically? Can we have this metaphor but axe some other metaphors? Why do I gotta choose?