Eur. Phys. J. C (2012) 72: 1955
https://doi.org/10.1140/epjc/s10052-012-1955-8

Regular Article - Theoretical Physics

Another two dark energy models motivated from Károlyházy uncertainty relation

¹ Institute of Modern Physics, Northwest University, Xian, 710069, P.R. China
² Faculty of Science, Ningbo University, Ningbo, 315211, P.R. China

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Received: 5 January 2012
Revised: 8 March 2012
Published online: 28 March 2012

Abstract

The Károlyházy uncertainty relation indicates that there exists a minimal detectable cell δt ³ over the region t ³ in Minkowski space-time. Due to the energy-time uncertainty relation, the energy of the cell δt ³ cannot be less δt ⁻¹. Then we get a new energy density of metric fluctuations of Minkowski spacetime as δt ⁻⁴. Motivated by the energy density, we propose two new dark-energy models. One model is characterized by the age of the universe and the other is characterized by the conformal age of the universe. We find that in the two models, the dark energy mimics a cosmological constant in the late time.