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Another Two Dark Energy Models Motivated from Karolyhazy Uncertainty Relation

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arxiv 1105.4661 v3 pith:75C2IMTI submitted 2011-05-24 hep-th

Another Two Dark Energy Models Motivated from Karolyhazy Uncertainty Relation

classification hep-th
keywords energydeltadarkmodelsrelationuncertaintyacutecell
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The K$\acute{\text{a}}$rolyh$\acute{\text{a}}$zy uncertainty relation indicates that there exists the minimal detectable cell $\delta t^{3}$ over the region $t^3$ in Minkowski spacetime. Due to the energy-time uncertainty relation, the energy of the cell $\delta t^3$ can not be less $\delta t^{-1}$. Then we get a new energy density of metric fluctuations of Minkowski spacetime as $\delta t^{-4}$. 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.

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