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**How does Calabi-Yau space "blend" into ordinary 3-space?**

Hi there,

I'm wondering about the following:

Assume that string theory is more or less correct and that particular 6-dimensional Calabi-Yau manifold(s) are in fact extra dimensions of spacetime.

Do physicists / mathematicians already understand how this compact space "blends" into the long/extended 3-space that we observe?

I'm not really talking about compactification (or am I?) but more wondering if we are treating the 6-space and 3-space separately or if they influence one another mathematically (a blending of sorts).

My view is that there must be some sort of "blending" since an electron (a presumed string) indeed propagates through 3-space.

Does anyone have any relevant thoughts / sources they wish to share?

Thanks