Complementarity in the Multiverse

TL;DR

This paper explores the relationship between different holographic cut-offs in the multiverse, suggesting they may define the same probability measure and linking initial conditions to late-time attractor regimes.

Contribution

It provides evidence that global and causal patch regulators in the multiverse are equivalent in defining probability measures, connecting initial conditions to attractor regimes.

Findings

Global and causal patch cut-offs may define the same measure.

Holographic UV-IR connection relates bulk points to boundary scales.

Initial conditions are governed by late-time attractor regimes.

Abstract

In the multiverse, as in AdS, light-cones relate bulk points to boundary scales. This holographic UV-IR connection defines a preferred global time cut-off that regulates the divergences of eternal inflation. An entirely different cut-off, the causal patch, arises in the holographic description of black holes. Remarkably, I find evidence that these two regulators define the same probability measure in the multiverse. Initial conditions for the causal patch are controlled by the late-time attractor regime of the global description.