Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-04-30
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
8 pages, 5 figures
Scientific paper
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.
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