Gravitational interaction through a feedback mechanism

We study the models of Kafri, Taylor and Milburn (KTM) Tilloy Di\'osi (TD), both which implement gravity between quantum systems through a continuous measurement feedback mechanism. The first model is for two particles, moving in one dimension, where Newtonian potential linearized. second applicable to any system, within context gravity. address issue how generalize KTM an arbitrary finite number particles. find that most straightforward generalisations are either inconsistent or ruled out by experimental evidence. also show TD does not reduce under approximations define latter model. then argue simplest conditions, only viable implementation full-Newtonian interaction