The impact of the cosmological constant on past and future star formation

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Main Authors: Sorini, Daniele, Peacock, John A., Lombriser, Lucas
Format: Preprint
Published: 2024
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author Sorini, Daniele
Peacock, John A.
Lombriser, Lucas
author_facet Sorini, Daniele
Peacock, John A.
Lombriser, Lucas
contents We present an extended analytic model for cosmic star formation, with the aim of investigating the impact of cosmological parameters on the star formation history within the $Λ$CDM paradigm. Constructing an ensemble of flat $Λ$CDM models where the cosmological constant varies between $Λ= 0$ and $10^5$ times the observed value, $Λ_{\rm obs}$, we find that the fraction of cosmic baryons that are converted into stars over the entire history of the universe peaks at $\sim$27% for $0.01 \lesssim Λ/Λ_{\rm obs} \lesssim 1$. We explain, from first principles, that the decline of this asymptotic star-formation efficiency for lower and higher values of $Λ$ is driven respectively by the astrophysics of star formation, and by the suppression of cosmic structure formation. However, the asymptotic efficiency declines slowly as $Λ$ increases, falling below 5% only for $Λ>100 \, Λ_{\rm obs}$. Making the minimal assumption that the probability of generating observers is proportional to this efficiency, and following Weinberg in adopting a flat prior on $Λ$, the median posterior value of $Λ$ is $539 \, Λ_{\rm obs}$. Furthermore, the probability of observing $Λ\leq Λ_{\rm obs}$ is only $0.5\%$. Although this work has not considered recollapsing models with $Λ<0$, the indication is thus that $Λ_{\rm obs}$ appears to be unreasonably small compared to the predictions of the simplest multiverse ensemble. This poses a challenge for anthropic reasoning as a viable explanation for cosmic coincidences and the apparent fine-tuning of the universe: either the approach is invalid, or more parameters than $Λ$ alone must vary within the ensemble.
format Preprint
id arxiv_https___arxiv_org_abs_2411_07301
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The impact of the cosmological constant on past and future star formation
Sorini, Daniele
Peacock, John A.
Lombriser, Lucas
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
Solar and Stellar Astrophysics
We present an extended analytic model for cosmic star formation, with the aim of investigating the impact of cosmological parameters on the star formation history within the $Λ$CDM paradigm. Constructing an ensemble of flat $Λ$CDM models where the cosmological constant varies between $Λ= 0$ and $10^5$ times the observed value, $Λ_{\rm obs}$, we find that the fraction of cosmic baryons that are converted into stars over the entire history of the universe peaks at $\sim$27% for $0.01 \lesssim Λ/Λ_{\rm obs} \lesssim 1$. We explain, from first principles, that the decline of this asymptotic star-formation efficiency for lower and higher values of $Λ$ is driven respectively by the astrophysics of star formation, and by the suppression of cosmic structure formation. However, the asymptotic efficiency declines slowly as $Λ$ increases, falling below 5% only for $Λ>100 \, Λ_{\rm obs}$. Making the minimal assumption that the probability of generating observers is proportional to this efficiency, and following Weinberg in adopting a flat prior on $Λ$, the median posterior value of $Λ$ is $539 \, Λ_{\rm obs}$. Furthermore, the probability of observing $Λ\leq Λ_{\rm obs}$ is only $0.5\%$. Although this work has not considered recollapsing models with $Λ<0$, the indication is thus that $Λ_{\rm obs}$ appears to be unreasonably small compared to the predictions of the simplest multiverse ensemble. This poses a challenge for anthropic reasoning as a viable explanation for cosmic coincidences and the apparent fine-tuning of the universe: either the approach is invalid, or more parameters than $Λ$ alone must vary within the ensemble.
title The impact of the cosmological constant on past and future star formation
topic Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
Solar and Stellar Astrophysics
url https://arxiv.org/abs/2411.07301