The possibility is raised that the observed cosmological matter–antimatter asymmetry may reside in asymmetric spacetime fluctuations and their interplay with the Stückelberg–Feynman interpretation of antimatter. The presented thesis also suggests that the effect of spacetime fluctuations is to diminish the fine structure constant in the past. Recent studies of the QSO absorption lines provide a 4.1 standard deviation support for this prediction. Our considerations suggest that in the presence of spacetime fluctuations, the principle of local gauge invariance, and the related notion of parallel transport, must undergo fundamental changes.