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Abstract: The assumption of a flat prior distribution plays a critical role in theanthropic prediction of the cosmological constant. In a previous paper weanalytically calculated the distribution for the cosmological constant,including the prior and anthropic selection effects, in a large toy``single-jump- landscape model. We showed that it is possible for the fractalprior distribution we found to behave as an effectively flat distribution in awide class of landscapes, but only if the single jump size is large enough. Weextend this work here by investigating a large $N \sim 10^{500}$ toy``multi-jump- landscape model. The jump sizes range over three orders ofmagnitude and an overall free parameter $c$ determines the absolute size of thejumps. We will show that for ``large- $c$ the distribution of probabilities ofvacua in the anthropic range is effectively flat, and thus the successfulanthropic prediction is validated. However, we argue that for small $c$, thedistribution may not be smooth.



Autor: Delia Schwartz-Perlov

Fuente: https://arxiv.org/







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