Does space exist independently from its content, or is it in some way "created" by it?

What I'm interested about is this question: Say we copied the standard model and duplicated its particles, fields, everything, but left it "independent", that is, particles from the duplicated models do not have masses, charges, etc. but masses "2", charges "2", etc., where for instance charges "2" do not directly interact with regular charges. We also create a bit of matter from the duplicated model to go with it.

Would it make sense for particles from the two models to be present in the same space? Or would the fact that they have two different kinds of masses automatically imply that their spaces "desync" and basically become two independent spaces?

Both cases make sense to me in some way. The first one would imply that the two models still indirectly interact through gravitation, but perhaps this means that they aren't truly independent and that the fields still interact in some way, contradicting the premise of the second model and *forcing* us to specify that they are in a different space? And wouldn't the second imply that space is emergent? The two models not interacting in any way would be what causes a second, independent space to "appear".

I'm asking this for scifi reasons, but the underlying question about whether or not space is emergent seems like a prerequisite to answer the "toy model" question, which is why I asked this stack.

(I think the "model" tag is right for this, I did read the tag wiki. I couldn't think of other relevent tags to add.)