Cosmology and semi-conservation of computations in the universe

Abstract

Resent works of Hawking and Susskind suggested that information is conserved in the universe. We extend this thesis and propose that dynamics of information - computations can conserve in Anti-de-Sitter cosmological model. Information geometry formalism is proposed to analyze information in dynamical systems. We consider entropy flow as a geometrical flow on statistical manifold and develop a Dynamic Cores model to analyze migration of information in dynamical systems. Geometrical flow on the statistical manifold was considered as a transition of local dynamical systems in original d+1-dim AdS space to their delocalized holographic representation in d-dim Conformal Field Theory (CFT). It was noted that geometrical flow related to renormalization group flow and provide semi-conservation of informational invariants. Those invariants interpreted as types of computations.