Probable Values of the Cosmological Constant in a Holographic Theory

TL;DR

This paper argues that holographic principles suggest the most probable cosmological constant in many universes is zero, with a probability distribution favoring small values, especially in four-dimensional spacetime.

Contribution

It demonstrates that holography leads to a probability distribution for the cosmological constant that peaks at zero, providing a potential explanation for its observed small value.

Findings

Probability distribution favors zero cosmological constant.

In four dimensions, the distribution follows the Baum-Hawking form.

Most probable value of the cosmological constant is zero.

Abstract

We point out that for a large class of universes, holography implies that the most probable value of the cosmological constant is zero. In four spacetime dimensions, the probability distribution takes the Baum-Hawking form, $dP\sim\exp(cM_p^2/\Lambda)d\Lambda$.