No it's not inconclusive at all, let me explain:
Your source is about the LHC. BASE is not part if the LHC (yes I know what I said, I meant CERN). You can find info here:
https://home.cern/about/updates/2016/12/base-antiprotons-celebrate-their-first-birthday
"But they also had particles inside it, meaning it couldn't be a perfect vacuum."
Of course there are, they put them there. There was nothing stopping them from not putting any antiprotons there, but that wouldn't be very useful for their experiment.
"Also, from searching it appears the number is 150 m^3. So how many atoms would that have with the upper bound of 3 atoms per cubic centimetre."
Actually, for BASE it's about 1.2 litres. So about 3600 particles, but I don't see how that's relevant. It's the particle density that matters. You could have a chamber that is smaller and you'd have less.
"Also, diffusion is only one problem, you also have the issue of virtual particles."
So? We're not talking about virtual particles here. Or you could go out on a limb and try to block the majority of them.
"So I would say that is very far from conclusive."
I don't see how it's inconclusive. An upper bound of 3 particles per cc means that if there were more particles than that, it's a statistical impossibility that no antiprotons would be annihilated over more than a year. It would be something like having a raging bull (not DeNiro, the proverbial one) in a china shop for more than a year and not breaking anything. We're not experts, and the experts say that's how many there can be, so I think we should listen to them.
The upper bound means that there could be significantly less than that, not to mention that statistically, even with 3 particles per cc there are regions of the size of 1 cc that contain no particles at all. I believe that if technology advances, even that figure could be improved upon, and you could very well have a tiny flywheel less than 1cm across magnetically suspended magnetically inside a chamber less than 1 cc large, with no particles in it, spinning practically forever.
Yes, inconclusive.
I will skip the stuff about the LHC.
Yes, particle density is important. For a perfect vacuum, you need a particle density of 0.
That means 0 particles in that 1.2 L, or in that cubic centimetre.
Regardless of which you use, that is still infinitely more.
However, the smaller it is, the smaller the particle density you will need to maintain the same kind of motion as the path length between the object and the wall is shorter (assuming the particles are more likely to hit the wall than other particles).
This is because for large containers the particles need to travel a long distance in order to transfer momentum/energy between the flywheel and the container, for small containers, they need to travel a smaller distance.
Also, due to the smaller size of the flywheel it will have less momentum, and a greater surface area to volume (or mass and thus momentum and energy) ratio.
The smaller the flywheel and the smaller the enclosure, the better the system you need.
Yes, for the most part we weren't talking about virtual particles as others were a greater issue.
I pointed out virtual particles getting in the way right near the start.
Virtual particles are speculated to be the cause of the nuclear force, the force which holds nucleons together in a nucleus.
The only way to suppress them is by placing 2 objects very close together.
Statistical impossibilities are merely things which are below some arbitrary cut off regarding probability.
Regardless, that is still too many particles to be a perfect vacuum.
It is also nothing like having a raging bull in a china shop.
That would be more like having it in the atmosphere rather than that high a vacuum.
It would be more like having 3 magic raging flying bulls in a cube that is 100 000 km wide, which need to hit bits of china that are 10 microns wide, while they may also deflect the bull or pass through the bull without annihilating.
Perpetual motion isn't practically forever, it is actually forever.
Like I said to rabinoz, it all depends on what you want it for.
If you just want to show off, then you just need to get a decent vacuum and a decent flywheel.
If you just want it to last for a few billion years, then maybe get a roughly spherical flywheel with a radius of 6400 km and put it in the vacuum of space spinning at roughly 15 degrees an hour.