Role of acceleration in the expansion of the universe and its influence on an early-universe modified version of the Heisenberg uncertainty principle

[摘要] From first principles, we examine what adding acceleration does, and does not do, as to an early-universe modified version of the Heisenberg uncertainty principle. In doing so, we examine a Friedmann equation for the evolution of the scale factor, using two cases explicitly - when the acceleration of the expansion of the scale factor is kept in and when it is out - and the intermediate case of when the acceleration and scale factors are important but not dominant. In doing so we tie this discussion into earlier work done on the HUP.

[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] Early universe;Expansion of the universe;First principles;Friedmann equation;Heisenberg uncertainty principle;Scale Factor