A proof of holographic complexity conjecture: wormhole between horizon and singularity

Abstract

This letter provides evidence of complexity-volume and complexity-action conjectures by examining the structure of a black hole, which comprises a horizon linked to the singularity through a wormhole. In this situation, the shape of the black hole's geometry resembles that of Gabriel's horn. In essence, our results indicate that the information paradox is merely the painter's paradox.