Anthropic prediction for a large multi-jump landscape

Understand

The assumption of a flat prior distribution plays a critical role in the anthropic prediction of the cosmological constant.

• In a previous paper we analytically 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 fractal prior distribution we found to behave as an effectively flat distribution in a wide class of landscapes, but only if the single jump size is large enough.
• We extend this work here by investigating a large ($N \sim 10^{500}$) toy ``multi-jump'' landscape model.