Limitations of anthropic predictions for the cosmological constant $Λ$: Cosmic Heat Death of Anthropic Observers

dc.creatorMersini-Houghton, L.
dc.creatorAdams, F.
dc.date2008-10-27
dc.date.accessioned2026-07-07T12:32:24Z
dc.date.available2026-07-07T12:32:24Z
dc.descriptionThis paper investigates anthropic bounds on the vacuum energy $Λ$. We first consider the possibility of cosmic observers existing at any random time (including the future) for constant $Λ$, and take into account the suppression of new structure formation as the universe approaches its eternal DeSitter (DS) geometry. Structures that collapse prior to the era of $Λ$-domination will lose causal contact with our Hubble volume within a finite (short) conformal time $τ_{\ast}$. Any remnants within our Hubble volume then suffer a cosmological heat death after the universe becomes DS. The probability for finding observers by random measurements in the volume bound by the DeSitter horizon is $P \simeq 0$, and it is a simple consequence of the information loss problem for eternal DS spaces resulting from the finite and constant value of its temperature $T_{DS} \simeq Λ^{-1/2}$ and entropy $S = 3/(GΛ)$. By contrast, for geometries with $Λ= 0$, structures can condense and entropy production can continue without bounds at any epoch. The probability of finding observers in $Λ= 0$ geometries is thus overwhelming higher than in DS spaces. As a result, anthropic reasoning does not explain the small but nonzero vacuum energy observed in our universe. We also address the case where observers are considered only at a specially chosen time -- like the present epoch -- but relax the allowed values of starting density fluctuations and hence the redshift of galaxy formation. In this latter case, the bounds on a $Λ$ can be millions of times larger than previous estimates -- and the observed value. We thus conclude that anthropic reasoning has limited predictive power.
dc.description7pgs, published
dc.identifierhttps://arxiv.org/abs/0810.4914
dc.identifierhttp://arxiv.org/abs/0810.4914
dc.identifierClass.Quant.Grav.25:165002,2008
dc.identifierdoi:10.1088/0264-9381/25/16/165002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216770
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleLimitations of anthropic predictions for the cosmological constant $Λ$: Cosmic Heat Death of Anthropic Observers
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