Is the Quilted Multiverse Consistent with a Thermodynamic Arrow of Time?

TL;DR

This paper examines the quilted multiverse concept, demonstrating its inconsistency due to entropy instability, and proposes a refined version with synchronized entropy minima to ensure logical coherence.

Contribution

It identifies a fundamental inconsistency in the quilted multiverse model and introduces a modified version with synchronized entropy minima to improve its theoretical viability.

Findings

The original quilted multiverse is not self-consistent due to entropy instability.

A modified multiverse model with aligned entropy minima is proposed.

The approach may restrict the set of possible universes based on initial conditions.

Abstract

Theoretical achievements, as well as much controversy, surround multiverse theory. Various types of multiverses, with an increasing amount of complexity, were suggested and thoroughly discussed in literature by now. While these types are very different, they all share the same basic idea: our physical reality consists of more than just one universe. Each universe within a possibly huge multiverse might be slightly or even very different from the others. The quilted multiverse is one of these types, whose uniqueness arises from the postulate that every possible event will occur infinitely many times in infinitely many universes. In this paper we show that the quilted multiverse is not self-consistent due to the instability of entropy decrease under small perturbations. We therefore propose a modified version of the quilted multiverse which might overcome this shortcoming. It includes only those universes where the minimal entropy occurs at the same instant of (cosmological) time. Only these universes whose initial conditions are fine-tuned within a small phase-space region would evolve consistently to form their "close" states at present. A final boundary condition on the multiverse may further lower the amount of possible, consistent universes. Finally, some related observations regarding the many-worlds interpretation of quantum mechanics and the emergence of classicality are discussed.