Schr?dinger equation in (pre-Planckian?) space_time early universe, with minimal distance, and minimum effective graviton mass

[摘要] 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.

[发布机构] Physics Department, Chongqing University, College of Physics, Chongqing University, Huxi Campus, No. 44 Daxuechen Nanlu, Shapinba District, Chongqing; 401331, China^1

[效力级别] 力学 [学科分类] 力学，机械学

[关键词] Bohmian mechanics;Dinger equation;Early universe;Graviton mass;Minimal distance;Quantum physics;Radial distance;Space time