As I understand it, QFT predicts that there is a certain zero point energy (ZPE) in a given background of flat Minkowski space-time. And every curved space-time is locally a flat Minkowski space-time. So I'm wondering how the ZPE changes as the curvature of curved space-time changes from one flat space-time to a different flat space-time. For example, is there a higher ZPE closer to a gravitating body? What motivates this question is if the ZPE and the Minkowski background space-time are unavoidably linked in QFT, then perhaps if there is a mechanism to change the ZPE, this might also change something in the Minkowski background which together may account for gravity. I have no idea what may change the ZPE, and I'm looking for thoughts on the subject. Thanks.