Back to the future: Causality on a moving braneworld
Brian Greene, Daniel Kabat, Janna Levin, Massimo Porrati
Abstract
Brane observers executing appropriate motion through a partially compactified Lorentz invariant bulk spacetime, such as ${M}_{4}\ifmmode\times\else\texttimes\fi{}{S}^{1}$, can send signals along the brane that are instantaneous or even travel backward in time. Nevertheless, causality in the braneworld remains intact. We establish these results, which follow from superluminal signal propagation reported in Greene et al. [Superluminal propagation on a moving braneworld, Phys. Rev. D 106, 085001 (2022).], through classical analysis and then extend our reasoning by examining quantum mechanical microcausality. One implication is the capacity for real time communication across arbitrarily large distances.