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Arrows of Time and the Anisotropic Properties of CMB

A. E. Allahverdyan·V. G. Gurzadyan
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Abstract

The relation between the thermodynamical and cosmological arrows of time is usually viewed in the context of the initial conditions of the Universe. It is a necessary but not sufficient condition for ensuring the thermodynamical arrow. We point out that in the Friedmann-Robertson-Walker Universe with negative curvature, k=-1, there is the second necessary ingredient. It is based on the geodesic mixing - the dynamical instability of motion along null geodesics in hyperbolic space. Kolmogorov (algorithmic) complexity as a universal and experimentally measurable concept can be very useful in description of this chaotic behavior using the data on Cosmic Microwave Background radiation. The formulated {\it curvature anthropic principle} states the negative curvature as a necessary condition for the time asymmetric Universe with an observer.

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A. E. Allahverdyan, V. G. Gurzadyan. 1999-10-19. Arrows of Time and the Anisotropic Properties of CMB. https://doi.org/10.1142/9789812793621_0013

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