GR is a classical theory. I'm not sure there's a good answer to your question, and I'm rather doubtful that a quantum particle can be represented as having a worldline at all. Consider the double-slit experiment, for example. A worldline would go through only one slit, the quantum particle goes through both.
Pervect is correct, GR is a classical theory, not a quantum theory, and quantum particles do not have worldlines. That means the OP question is not well posed and cannot be answered.