Generalized uncertainty relations, particles, black holes, and Casimir effect in the three-dimensional quantum vacuum

D. Fiscaletti^a^,*, and A. Sorli^b

^aSpaceLife Institute, San Lorenzo in Campo, Italy

^bScientific Research Centre Bistra, Ptuj, Slovenia

email: *spacelife.institute@gmail.com

Received 10 August, 2022

Abstract— A modified version of generalized uncertainty relations, which leads to a unifying treatment of microphysics of elementary particles and macrophysics of black holes, is developed in the model of a three-dimensional dynamical quantum vacuum defined by a variable energy density. New suggestive prospects for interpretation of the Casimir effect and cosmological wormholes are obtained in this picture.

Keywords: generalized uncertainty relations, three-dimensional dynamical quantum vacuum, variable energy density, black holes, Casimir effect

DOI: 10.1134/S0040577923010087