Spinor wave function of the Universe in non-minimally coupled varying constants cosmologies

Abstract In this paper, we introduce a non-minimally coupled varying speed of light and gravitational constant cosmological toy model. Using the Eisenhart–Duval lifting method, extend original minisuperspace model depict evolution system in presence potential term as geometrical flow associated with lifted metric. We write Dirac–Wheeler–DeWitt equation, which solution is spinor wave function Universe. Then find describes emergence two early universe–antiuniverse pairs that differ conserved quantity, an analog spin.