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2008

Holography, UV/IR Relation, Causal Entropy Bound and Dark Energy

Cai, Rong-Gen, Hu, Bin, Zhang, Yi

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The constraint on the total energy in a given spatial region is given from holography by the mass of a black hole which just fits in that region, which leads to an UV/IR relation: the maximal energy density in that region is proportional to $M_p^2/L^2$, where $M_p$ is the Planck mass and $L$ is the spatial scale of that region under consideration.

Assuming the maximal black hole in the universe is formed through gravitational collapse of perturbations in the universe, then the "Jeans" scale of the perturbations gives a causal connection scale $R_{\rm CC}$.
For gravitational perturbations, $R^{-2}_{\rm CC}={\rm Max}(\dot H+2H^2, -\dot H)$ for a flat universe.
We study the cosmological dynamics of the corresponding vacuum energy density by choosing the causal connection scale as the IR cutoff in the UV/IR relation, in the cases of the vacuum energy density as an independently conserved energy component and an effective dynamical cosmological constant, respectively.

Holography, UV/IR Relation, Causal Entropy Bound and Dark Energy · Around

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H. Wei and R. G. Cai, arXiv:0707.4052 [hep-th]; H. Wei and R. G. Cai, Phys. Lett. B 655
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H. Wei and R. G. Cai, Phys. Lett. B 660
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X. Wu, Y. Zhang, H. Li, R. G. Cai and Z. H. Zhu, arXiv:0708.0349 [astro-ph]; Y. Zhang, H. Li, X. Wu, H. Wei and R. G. Cai, arXiv:0708.1214 [astro-ph]; M. Maziashvili, Phys. Lett. B 666
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