Perspectives about scales and hierarchies in a three-dimensional quantum vacuum ruled by generalized uncertainty relations

A model of a three-dimensional dynamic quantum vacuum defined by a variable energy density and ruled by generalized uncertainty relations is considered, which leads to a unifying treatment of micro physics of elementary particles and macro physics of black holes in terms of a generalized Compton wavelength. In this model, new keys of explanation of scales, hierarchies and Higgs mass generation of the Standard Model are explored as a consequence of dissipative features of the vacuum originated by elementary sub-Planckian objects at the generalized Compton wavelength. Key Words: generalized uncertainty relations; three-dimensional dynamic quantum vacuum; variable energy density; generalized Compton wavelength; hierarchies; Higgs mass generation. (author)