Stochastic modification of the Schrodinger-Newton equation

摘要: The Schr\"odinger-Newton (SN) equation describes the effect of self-gravity on evolution a quantum system, and it has been proposed that gravitationally induced decoherence drives system to one stationary solutions SN equation. However, itself lacks mechanism, because does not possess any stochastic feature. In present work we derive modification equation, starting from Einstein-Langevin in theory semiclassical gravity. We specialize this case single massive point particle, by using Karolyhazy's phase variance method, Di\'osi-Penrose criterion for time. obtain (nonlinear) master corresponding This is, however, linear at level approximation use prove decoherence; hence, no-signaling requirement is met. Lastly, physical arguments expressions length extended objects.