Implications of generalized Compton wavelength in the effects of general relativity

Abstract

A model of a dynamical three-dimensional quantum vacuum based on energy fluctuations of a granular space is considered as the keystone able to provide a unifying rereading of microphysics and macrophysics. By starting from a generalized version of uncertainty relations, a generalized Compton wavelength is defined that provides a unifying treatment of elementary particles and black holes. A quantum-modified Schwarzschild metric associated with the generalized Compton wavelength of the vacuum is introduced and its perspectives in providing a new rereading of the standard general relativistic predictions for light deflection, perihelion precession, and gravitational redshift are explored.