Schrödinger equation in (pre-Planckian?) space–time early universe, with minimal distance, and minimum effective graviton mass

We review Vuille's generalized Schrödinger equation with its Ricci scalar inclusion, in curved space–time. This has a simplified version in the pre-Planckian regime, which leads to comparing a resultant admissible wave function with Bohmian reformulations of quantum physics, a radial distance given by a modified Poisson's equation and a minimal graviton mass. Finally, we look if Bohmian mechanics has a role in our formulation. (paper)