Holographic Complexity and Volume

Understand

The previously proposed "Complexity=Volume" or CV-duality is probed and developed in several directions.

• We show that the apparent lack of universality for large and small black holes is removed if the volume is measured in units of the maximal time from the horizon to the "final slice" (times Planck area).
• This also works for spinning black holes.
• We make use of the conserved "volume current", associated with a foliation of spacetime by maximal volume surfaces, whose flux measures their volume.