I think the Angular momentum is intrinsic to the electron with possible components in other dimensions.If you can explain the momentum using the 4th Dimension then you have good chance of getting it right.
But I wonder how can a point be exclusively defined on a higher dimension without having some footprint on other dimesnions.
Therefore any particle which exists in higher dimension must be observable in some form somewhere.
Can you please restate the positive outcome of your theroy? What extra information do we get ?
What new does it explain ?
What does it predict?