Vierbein walls in condensed matter

TL;DR

This paper explores topologically stable vierbein domain walls in condensed matter systems, analyzing their properties, causal disconnect, and potential quantum connections, drawing parallels with concepts from general relativity.

Contribution

It introduces the concept of vierbein walls in condensed matter, highlighting their topological stability and discussing quantum tunneling possibilities between causally disconnected domains.

Findings

Vierbein walls are topologically stable surfaces in condensed matter.

Domains separated by vierbein walls are classically causally disconnected.

Quantum effects may connect these domains across the walls.

Abstract

The effective field, which plays the part of the vierbein in general relativity, can have topologically stable surfaces, vierbein domain walls, where the effective contravariant metric is degenerate. We consider vierbein walls separating domains with the flat space-time which are not causally connected at the classical level. Possibility of the quantum mechanical connection between the domains is discussed.