If there’s no such thing as absolute distance, then how can you say that a metre bar (and the metre) is larger than it used to be?
If distance is relative, and matter isn’t expanding relative to anything else, then matter isn’t expanding.
We ultimately define distance in terms of c, and the fundamental forces agree with this. We do not observe atoms expanding, but we do observe the space between galaxies expanding. Presumably the space we occupy is also expanding, but it’s such a small effect as to be irrelevant.
Back to my original question, is the boundary between irrelevantly small and detectable above or below the galactic scale?
I think the trouble is also partly based around thinking of then universe as a volume, which implies a centre. And that’s where this analogy falls apart.
Because everything is expanding from everything, there is no centre. YOU are always centre. So you are “expanding” but you don’t change volume.
This is why I keep saying space isn’t getting bigger, distance is.
It’s not that a sheet of paper becoming bigger so the grid paper becomes larger,. It’s changing it’s distance of something, not it’s size and shape.
We don’t observe galaxies getting bigger. We observe them constantly moving away from us. Even. When they’re moving to us, but it’s done at a slower pace than expected. The further away you are, the faster you move away. And it’s a universal constant of 73km/s/Mpsc.
Notice that is a speed per distance. It’s not saying space is getting bigger, it’s saying things are moving faster away from you the further you go away.
The universe isn’t expanding like a loaf of bread because it has a volume. It’s expanding from one volume to another. Where the universe doesn’t.
Not thinking of cosmic expansion as a volume expanding is an interesting thought.
It does imply that the changing distance only happens at large distances though. “Faster-than-light” expansion is already non-local (I think), but all expansion being non-local is consistent with it being driven by vacuum energy. That kinda makes the rasin bread analogy stronger, as the rasins don’t expand at all.
I wonder if we could detect frame-dragging at large distances. If expansion causes frame-dragging, then it’s actually a change in space, not just distance.
I wonder if linear motion can even cause frame-dragging, or if it’s just rotation that causes it. I do not know enough about the math to say.
So it does happen on a small local scale though. It happens on ALL scales.
But everything is expanding from everything. Meaning the observer is always centred of the expansion. This is because volume is constant. The rasins themselves do expand, but locally it’s such a small scale (10^-23 m/s for our solar system).
This also works for how we understand the change in density. Volume is constant, but we’ve gone from infinitely dense to almost nothing.
