A new method to probe the mass density and the cosmological constant using configuration entropy

Pandey, Biswajit; Das, Biswajit

doi:10.1093/mnrasl/slz029

Cited by 5 publications

(2 citation statements)

References 39 publications

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“…The configuration entropy rate dS dt determines the time evolution of the mutual information between the two regions. The configuration entropy rates have been calculated for the ΛCDM model, different dynamical dark energy models and the holographic dark energy models in the literature [47][48][49][50]. The configuration entropy rate decreases to reach a minimum and then increases with time in all these models.…”

Section: Mutual Information In the λCdm Model The Dynamical Dark Ener...mentioning

confidence: 99%

The Time Evolution of Mutual Information between Disjoint Regions in the Universe

Pandey

2023

Entropy

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We study the time evolution of mutual information between mass distributions in spatially separated but casually connected regions in an expanding universe. The evolution of mutual information is primarily determined by the configuration entropy rate, which depends on the dynamics of the expansion and growth of density perturbations. The joint entropy between distributions from the two regions plays a negligible role in such evolution. Mutual information decreases with time in a matter-dominated universe, whereas it stays constant in a Λ-dominated universe. The ΛCDM model and some other models of dark energy predict a minimum in mutual information beyond which dark energy dominates the dynamics of the universe. Mutual information may have deeper connections to the dark energy and accelerated expansion of the universe.

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Section: Mutual Information In the λCdm Model The Dynamical Dark Ener...mentioning

confidence: 99%

The Time Evolution of Mutual Information between Disjoint Regions in the Universe

Pandey

2023

Entropy

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“…Since the rate at which structure grows depends on the cosmological model concerned, the evolution of entropy might be helpful to discern one cosmological model from another. It has been proposed that evolution of configuration entropy can be used to distinguish different equations of state of dynamical dark energy [27], to determine the mass density parameter and cosmological constant [28], to constrain the parameters of the equation of state of dynamical dark energy [29], to determine the functional form of large scale linear bias of neutral Hydrogen (HI) distribution [30].…”

Section: Introductionmentioning

confidence: 99%

A study of holographic dark energy models using configuration entropy

Das¹,

Pandey²

2020

Preprint

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The holographic dark energy models provide an alternative description of the dark energy. These models are motivated by the possible application of holographic principle to the dark energy problem. We study the one parameter Li holographic dark energy and the two parameter Barrow holographic dark energy models using configuration entropy of the matter distribution in the Universe. The configuration entropy rate exhibits a distinct minimum at a specific scale factor that corresponds to the epoch, beyond which the dark energy takes a driving role in the accelerated expansion of the Universe. We find that the location of the minimum and magnitude of the entropy rate at the minimum are sensitive to the parameters of the models. We find the best fit relations between these quantities and the parameters of each model. We propose that these relations can be used to constrain the parameters of the holographic dark energy models from the future measurements of the configuration entropy at multiple redshifts. Further, the Barrow holographic dark energy model is based on Barrow entropy which modifies the standard Bekenstein-Hawking entropy, to capture the deformation of the black-hole surface due to quantum gravitational effects. We find that the location and amplitude of the minimum of the configuration entropy rate is strongly sensitive to the deformation exponent ∆ in the Barrow model. Our study suggests that signatures of the quantum gravitational effects on the future event horizon may be detected from the study of the configuration entropy of the matter distribution on large-scales.

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Can we constrain the evolution of HI bias using configuration entropy?

Das¹,

Pandey

2021

Res. Astron. Astrophys.

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We study the evolution of the configuration entropy of HI distribution in the post-reionization era assuming different time evolution of HI bias. We describe time evolution of linear bias of HI distribution using a simple form b(a) = b 0 an with different index n. The derivative of the configuration entropy rate is known to exhibit a peak at the scale factor corresponding to the Λ-matter equality in the unbiased ΛCDM model. We show that in the ΛCDM model with time-dependent linear bias, the peak shifts to smaller scale factors for negative values of n. This is related to the fact that the growth of structures in the HI density field can significantly slow down even before the onset of Λ domination in the presence of a strong time evolution of the HI bias. We find that the shift is linearly related to the index n. We obtain the best fit relation between these two parameters and propose that identifying the location of this peak from observations would allow us to constrain the time evolution of HI bias within the framework of the ΛCDM model.

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A new method to probe the mass density and the cosmological constant using configuration entropy

Cited by 5 publications

References 39 publications

The Time Evolution of Mutual Information between Disjoint Regions in the Universe

The Time Evolution of Mutual Information between Disjoint Regions in the Universe

A study of holographic dark energy models using configuration entropy

Can we constrain the evolution of HI bias using configuration entropy?

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