It is a fascinating topic that reveals the greatness of quantum mechanics (QM). In a general way, it shows that quantum systems can be one even if they are separated quite far. This issue dismays many physicists, especially Einstein because it violates the principle of locality. How can a system be one if it is spread in space? The theory of relativity expresses that the maximum speed in space is C.

This issue has been solved by a recent theory of space which proposed that the quantum system is not limited to 3D but is a fluctuation between 3D and the 4th D. Previously it redefines the 4th D as C*tau, where this quantum interval is not any time as proposed by Minkowski, but is Planck´s periodicity time tau (tau = h/E). So, this 4th D represents the wavelength of energy Lambda = h*C/E. Now, energy is involved with mass, space, and time as expressed by Einstein in his General relativity. Also, expressed by Poincare with his invariance = (Delta r)^2 + (Delta i*C*tau)^2. A more energetic presence implies a shorter Lambda and less space value (length contraction).

Therefore, this oscillation is manifested by a fluctuating presence in 3D, as well as out of 3D. By this, the quantum system can be divided in space as the entangled particles are BUT when it is out of 3D it is all together at the 4th D, so the locality is not violated.

This novel proposition of in and out of 3D provides more understanding of quantum phenomena. For example, in the measurement problem, the system contains more dimensions than three, so when it is observed at 3D it is limited to that.

Let me give an analogy, a cube contains six 2D faces, in each face it can carry a value quite different from the other five faces. When a 3D cube is observed with one dimension less (2D) it will only reveal one value meanwhile it contains six values; you can also imagine this as a projection from 3D into 2D. Meanwhile, modern theories propose four or more dimensions, and none of them proposes existing outside of 3D. This new theory expresses that the superposition of solutions exists in a higher dimension, and at 3D it reveals only one of them.

Since it is a new interpretation, I prefer to attach some papers so it can inspire you in your research. Regards