Fatal Missing Link from Classical Brane Dynamics to Einstein Gravity and a Quantum Theoretical Solution

TL;DR

The paper discusses the fundamental disconnect between classical brane dynamics and Einstein gravity in braneworld models, proposing potential quantum solutions to reconcile the two.

Contribution

It identifies a missing link in deriving Einstein's equations from classical brane dynamics and explores quantum approaches to address this gap.

Findings

Classical brane dynamics cannot reproduce Einstein gravity at low curvature.

Quantum theoretical solutions may bridge the gap between brane dynamics and Einstein equations.

Highlights the need for quantum effects in braneworld models.

Abstract

It is argued that the Einstein equation on a braneworld at low curvature cannot be derived from its classical brane dynamics (i. e. dynamics of the brane as a classical object in the higher dimensional spacetime) as far as the action of the system has smooth low-curvature limit. We discuss possible solutions to the problem.