Anthropic prediction in a large toy landscape

Details Anthropic prediction in a large toy landscape Anthropic prediction in a large toy landscape

2007-05-17

arxiv.org/abs/0705.2562v2

JCAP0710:010,2007

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1088/1475-7516/2007/10/010

The successful anthropic prediction of the cosmological constant depends crucially on the assumption of a flat prior distribution. However, previous calculations in simplified landscape models showed that the prior distribution is staggered, suggesting a conflict with anthropic predictions. Here we analytically calculate the full distribution, including the prior and anthropic selection effects, in a toy landscape model with a realistic number of vacua, $N \sim 10^{500}$. We show that it is possible for the fractal prior distribution we find to behave as an effectively flat distribution in a wide class of landscapes, depending on the regime of parameter space. Whether or not this possibility is realized depends on presently unknown details of the landscape.

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