Chaos-protected locality

Microscopic speed limits that constrain the motion of matter, energy, and information abound in physics, from "ultimate" limit set by light to Lieb-Robinson quantum spin systems. In addition these state-independent limits, systems can also be governed emergent state-dependent indicating slow dynamics arising, for example, low-energy quasiparticles. Here we describe a different kind limit: situation where complex information/entanglement spreads rapidly, fashion inconsistent with any limit, but simple signals continue obey an approximate limit. If take point view defines local spacetime geometry universe, then effects show locality compatible high degree non-local interactions provided are sufficiently chaotic. With this perspective, sharpen puzzle about black holes recently raised Shor propose schematic resolution.