Feynman Path Integrals are a way of calculating the wave function of quantum mechanics. It usually integrates every possible path through all of space. I wonder if there is any study of Feynman path integrals through a space with holes in it - with regions of space excluded from the integration process. More specifically, I'm wondering about points or regions of space where the amplitude must be zero. I assume that a point or region that is exclude from the path integral means that the amplitude will be zero there. I've heard described elsewhere that a space with holes in it can result in a curvature of that space. And I wonder if the classical limit of a particle path will become curved due to nearby "holes". Could this result in the curvature of general relativity? A quick Google search did not result in any relevant results. So I wonder if there has been any study on this. Thanks.