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We consider cosmological implications of the formula for the dark energydensity derived by Gurzadyan and Xue which predicts a value fitting theobservational one. Cosmological models with varying by time physical constants,namely, speed of light and gravitational constant and/or their combinations,are considered. In one of the models, for example, vacuum energy densityinduces effective negative curvature, while another one has an unusualasymptotic. This analysis also explicitely rises the issue of the meaning andcontent of physical units and constants in cosmological context.Comment: version corrected to match the one to appear in Modern Physics  Letters

PHYSICAL CONSTANTS AND THE GURZADYAN–XUE FORMULA FOR THE DARK ENERGY