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VOLUME 80 | ISSUE 7 | PAGE 531
On thermodynamic and quantum fluctuations of cosmological constant
G. E. Volovik

Low Temperature Laboratory, Helsinki University of Technology, Box 2200, FIN-02015 HUT, Finland
L. D. Landau Institute for Theoretical Physics RAS, 119334 Moscow, Russia


PACS: 04.60.-m, 98.80.Cq
Abstract
We discuss from the condensed-matter point of view the recent idea that the Poisson fluctuations of cosmological constant about zero could be a source of the observed dark energy [Padmanabhan,Ahmed]. We argue that the thermodynamic fluctuations of Λ are much bigger. Since the amplitude of fluctuations is \propto V^{-1/2} where V is the volume of the Universe, the present constraint on the cosmological constant provides the lower limit for V, which is much bigger than the volume within the cosmological horizon.


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