Nonlocality and Compactified Dimensions

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Supposed reality was described by String Theory and there were 6 compactified dimensions. Could it describe quantum non-locality or does it still take light speed to travel in the compactified dimension? For example. You live in New York, I live in California. If we can send signal in one of the compactified dimensions. Can it reach you without passing through the larger 3D spacetime? I just can't imagine how curled up dimensions look like with reference to our large dimensions and what it means to send signal inside. Maybe it can explain the non-locality in QM?
 
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