Short Distance Modification of a Gravitational System and its Optical Analog

摘要: Motivated by developments in string theory, such as T-duality, it has been proposed that the geometry of spacetime should have an intrinsic minimal length associated with it. This would modify short distance behavior quantum systems studied on a geometry, and optical analog for modification system also realized using non-paraxial nonlinear optics. As general relativity can be viewed effective field theory obtained from string, is expected this relativity. Now Newtonian approximation valid to relativity, Schrodinger-Newton equation non-relativistic semi-classical limit we will analyze spacetime. constructed, possible optically realize system. So, important, numerical solutions It observed usual Runge-Kutta method cannot used However, use propose new method, which call two step analyzing