Routing (electronic design automation)

Quantum mechanics

Black brane

Theoretical physics

Extremal black hole

Gravitation

Mathematical physics

Entropy (arrow of time)

Computer science

Classical mechanics

Scaling

Computer network

Brane cosmology

Routing protocol

Physics

Mathematics

Link-state routing protocol

Isotropy

Brane

Geometry

Black hole (networking)

Dilaton

Journal of High Energy Physics

A bstract Using “complexity=action” proposal we study the growth rate of holographic complexity for Lifshitz and hyperscaling violating geometries. We will consider both one and two sided black branes in an Einstein-Maxwell-Dilaton gravitational theory. We find that in either case Lloyd’s bound is violated and the rate of growth of complexity saturate to a value which is greater than twice the mass of the corresponding black brane. This value reduces to the mass of the black brane in the isotropic case. We show that in two sided black brane the saturation happens from above while for one sided black brane it happens from below.

Complexity growth with Lifshitz scaling and hyperscaling violation