What geometry or topology best embodies the nonlocality of quantum entanglement?

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I am a Princeton physics major.

What geometry or topology best embodies the nonlocality of quantum entanglement? https://en.wikipedia.org/wiki/Quantum_entanglement: "Each particle cannot be described independently of the state of the other(s), even when the particles are separated by a large distance."

So it is that even when the particles are separated by a great distance, they interact as if they yet share the same common locality.

What geometry or topology best embodies the physical properties of quantum nonlocality and entanglement?

Is there a geometry or topology which describes a sphere whence all the points on the surface of the sphere can yet be seen to inhabit the same locality?

Thanks!