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We live in a 3D world comprised of 4 dimensions, if you include time. The unit of spacetime as we "see" it is the proton, comprising of 6 quarks, fermions. Hence since these quarks cannot occupy the same "space" and they are confined by the strong force to the lowest state , then the optimal configuration would be a 3D cartesian systems, i.e. the orbits would always average out to maintain the stable 3D configuration w.r.t the couplings.

So, if our 3D world is defined by the 3D proton, can you extrapolate this idea to dark matter and say the dark matter could be world with a different proton configuration, a higher order of quarks similarly confined.?

A' Oaktree
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Dark matter cannot be made out of quarks. Primordial nucleosynthesis is well understood, and the limits on how much matter it could have created are restricted by the relative amounts of hydronge, helium, etc that were created. For details see the question Why can't dark matter be baryonic? and Why isn't dark matter just ordinary matter?.

You are quite correct that excited states of the quarks inside a proton exist, but they are just normal matter and have been observed in accelerators. For example the $\Delta^+$ baryon is also composed of two up and one down quarks.

One last comment: you say our 3D world is defined by the 3D proton but this is the wrong way round. The bound state of the quarks that makes up a proton is defined by the dimensionality of spacetime, not the other way around.

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John Rennie
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