What is Quantum Computational Complexity? (# 11)

Computational complexity of Black Hole by Jerzy Król and Paweł Klimasara

This article sets out some ideas about how relatively simple rules could emerge from Efimov effects that lead to more complex content. This article which follows on from Article 10 about the origin of force fields is part of a series explaining how our universe could have emerged from mathematics.

While it may be somewhat misleading to describe content in the AdS force fields as particles since content is a mathematical description, use of the term particle linguistically simplifies presentation of how content becomes more complex. Particles go through the black/white hole cycles many times. As a consequence of Efimov effects, the complexity of these particles can increase.

A particle in the boundary inside an AdS black hole can be described as a hologram i.e. mathematical description of content in one less dimension. Since the Efimov effect can cause new features to appear in the content in a boundary in AdS space, holographic descriptions of particles can be very complex. Holographic descriptions of particles in a boundary could be descriptions of content emerging from white holes in the original AdS space. For example, an AdS space with four dimensions includes black holes with five internal dimensions (including two time-like dimensions). The interior of such a AdS black hole would contain a boundary displaying four dimensional…