veemon293 said:
are you saying that particles as a group are simply classifications or idealizations of quantum spaces
I'm not sure what this means, but it doesn't look like a good description of what "particles" are in QFT.
At a very basic level, the term "particles" in QFT refers to states that go into or come out of scattering experiments--for example, the kind of experiments that are run at places like the LHC. So a proton itself is a particle, since we can run scattering experiments where protons go in or where protons come out. But quarks can't be treated as particles in this simple way because we can never observe them going into or coming out of scattering experiments; we can run scattering experiments with other stuff going in or coming out, that show
indirect evidence of things inside protons and neutrons that we can refer to as "quarks" (for example, the "deep inelastic scattering" experiments that were run in the late 1960s and early 1970s, where electrons were fired at protons), but we can never observe the quarks directly as particles the way we observe protons or electrons directly as particles.
The other issue involved here, again at a very basic level, is that the strong interaction doesn't work like an ordinary "force" that you're used to, for example the electromagnetic interaction. With an ordinary "force" like the electromagnetic interaction, the force gets smaller as the objects get further apart (with the electromagnetic interaction this goes like the inverse square of the distance). That means that when two interacting objects get far enough apart, you can treat them as separate objects; the interaction between them is just a small correction to their behavior as separate objects.
But with the strong interaction, heuristically, the "force" gets
larger as the objects get further apart. So, very heuristically, if you were to try to pull out one of the quarks from a proton, you would have to exert more and more force, until finally you were adding enough energy to make a quark-antiquark pair, and instead of pulling a free quark by itself out of the proton, you would pull a meson out (for example a pi meson, or pion). So you can never get to a point where you can treat an individual quark as a separate object where its interaction with other things is a small correction. More generally, what holds a proton together is the fact that all of its quarks have to stay very close to one another because that is what minimizes the force between them, so they can't be treated as individual particles; you have to work with the whole complicated quantum field configuration, which doesn't look anything like what goes into or comes out of scattering experiments as "particles".
The above is all oversimplification, but it is enough to show that your ordinary intuitions about particles and interactions don't work for understanding what's going on inside objects like the proton that are held together by the strong interaction.