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arXiv · 1005.0745

Dark Energy, Anthropic Selection Effects, Entropy and Life

Chas A. Egan
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Abstract

According to the standard LCDM model, the matter and dark energy densities (rho_m and rho_DE) are only comparable for a brief time. We address the cosmic coincidence problem under LCDM and generalized dark energy models by considering the temporal distribution of terrestrial planets. We compare the Sun to representative stellar samples in 11 properties plausibly related to life. We find the Sun to be most anomalous in mass and galactic orbital eccentricity. When the 11 properties are considered together, the observed "anomalies" are consistent with statistical noise. This contrasts with previous work suggesting anthropic explanations for the Sun's high mass. The long-term future of dissipative processes (such as life) depends on the continued ability to use free energy to increase the total entropy. The entropy budget of the present observable Universe is dominated by supermassive black holes in galactic cores. We report a new entropy budget of the Universe with quantified uncertainties for all components. We find the total entropy in the observable Universe to be S_{obs} = 3.1^{+3.0}_{-1.7} x 10^{104} k, at least an order of magnitude higher than previous estimates due to improved measurements of the mass function of supermassive black holes (which dominate the budget). We evaluate upper bounds on the entropy of a comoving volume. Under the assumption that energy in matter is constant in a comoving volume, the availability of free energy is found to be finite and the future entropy in the volume is limited to a constant of order 10^{123} k. Through this work we uncover a number of unresolved questions with implications for the ultimate fate of the Universe.

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Chas A. Egan. 2010-05-05. Dark Energy, Anthropic Selection Effects, Entropy and Life. https://arxiv.org/abs/1005.0745

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