Maximum information universe

Mathematics – Logic

Scientific paper

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Astronomical Models, Black Body Radiation, Cosmology, Galactic Radiation, Background Noise, Calculus Of Variations, Channel Capacity, Information Systems, Signal Analysis, Spectrum Analysis

Scientific paper

The Universe is considered as a photon information channel. The signal is due to galaxies while noise is taken as blackbody thermal radiation. The galaxies are allowed time-dependent luminosities. The effect of Universe expansion on the information capacity of such channels is investigated. A variational approach is used yielding the time dependence of the cosmic scale-factor when the information transmitted to a perfect observer is a maximum. A capacity which is constant and independent of the space-time location of the observer can be considered a Perfect Cosmological Principle. When the observed Deceleration Parameter is taken as 0, 1, 2, the corresponding maximum information universe is an exponential, Page and Milne universe respectively.

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