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Quantum Entanglement and Holographic Universe

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Dr. Rong-Xin Miao

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School of Physics and Astronomy, Sun Yat-Sen University, Zhuhai 519082, China
Interests: quantum entanglement entropy; boundary conformal field theory; gauge/gravity duality; quantum anomaly and anomalous transport; black holes

Special Issue Information

Dear Colleagues,

Quantum entanglement plays an essential role in the modern understanding of gravity. The Ryu–Takayanagi formula reveals a deep relation between spacetime geometry and quantum entanglement. Remarkably, the Einstein equations in bulk can be obtained from the first law of entanglement entropy of conformal field theories on the boundary. Furthermore, studying quantum entanglement in holographic gravity leads to a significant breakthrough toward resolving the black hole information paradox, for which many novel physical concepts, such as the quantum extremal surface and island, are developed. What new information can quantum entanglement tell us about the universe? Could it shed light on the black hole singularity or the universe's accelerating expansion? Many important questions remain to be explored.

This Special Issue invites articles on a wide range of topics on quantum entanglement, the AdS/CFT correspondence, and the holographic universe. The aim is to inspire new ideas and apply the methods of quantum information to investigate the central problems of gravity and the universe.

Dr. Rong-Xin Miao
Guest Editor

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Research

15 pages, 467 KiB

Open AccessArticle

Reconstructing Torsion Cosmology from Interacting Holographic Dark Energy Model

by Song Li and Yun Chen

Universe 2023, 9(2), 100; https://doi.org/10.3390/universe9020100 - 16 Feb 2023

Cited by 2 | Viewed by 1451

Abstract

We consider a cosmological model in the framework of Einstein–Cartan theory with a single scalar torsion

ϕ = ϕ (t)

and reconstruct the torsion model corresponding to the holographic dark energy (HDE) density. By studying the corresponding relation between the effective [...] Read more.

We consider a cosmological model in the framework of Einstein–Cartan theory with a single scalar torsion

ϕ = ϕ (t)

and reconstruct the torsion model corresponding to the holographic dark energy (HDE) density. By studying the corresponding relation between the effective energy density of torsion field

ρ_{ϕ}

and holographic dark energy density

ρ_{H D E}

, we naturally obtain a kind of torsion field from the interacting holographic dark energy with interaction term

Q = - 2 ϕ ρ_{m}

and

ρ_{m}

is the energy density of matter. We analyze the reconstructed torsion model and find that the torsion field behaves like the quintessence

(w > - 1)

or quintom (exhibiting a transition from

w > - 1

w < - 1

) dark energy, depending on the value of the model parameter c. We then perform a stability analysis according to the squared sound speed. It is shown that the model is classically stable in the current epoch for the case of

c < 1

. We also investigate the model from the viewpoint of statefinder parameters and it turns out that the statefinder trajectories in the

r - s

plane behave differently for the three cases of c and also quite distinct from those of other cosmological models. From the trajectories of the statefinder pair

{q, r}

, we find that, for all the three cases of c, the universe has a phase transition from deceleration to acceleration, consistently with cosmological observations. In addition, we fit the reconstructed torsion model with the recent Type Ia supernovae (SNe Ia) samples, i.e., the Pantheon sample containing 1048 SNe Ia with the redshift in the range

0.01 < z < 2.3

and the Pantheon+ sample with 1701 light curves of 1550 distinct SNe Ia in the range

0.001 < z < 2.26

. The analysis results show that the limits on the present fractional energy density of matter

Ω_{m 0}

are completely compatible with those of the

Λ

CDM model obtained from the latest Planck mission observations at 68% confidence level. The mean value of c constrained from the Pantheon sample corresponds to the quintom-like scenario (i.e.,

c < 1

) and its mean value from the Pantheon+ sample corresponds to the quintessence-like scenario (i.e.,

c \geq 1

). However, both of the Pantheon and Pantheon+ samples cannot distinguish the quintom-like and quintessence-like scenarios at 68% confidence level. Full article

(This article belongs to the Special Issue Quantum Entanglement and Holographic Universe)

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