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Thermodynamic Origin of the Cardassian Universe
High Energy Physics - Theory · Submitted 31 Jan 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that the corresponding entropy obeys ordinary area law when the area of the trapping horizon is small, while it becomes a constant when area is going to be large in the original and modified polytropic Cardassian model, and it has a maximum value in the exponential one.
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The abstract, sentence by sentence
In the Cadassian universe, one can explain the acceleration of the universe without introducing dark energy component. However, the dynamical equations of this model can not be directly obtained from the action principle. Recently, works on the relation between thermodynamics and gravity indicates that gravity force may not be the fundamental force. In this paper, we study the thermodynamics of the Cardassian universe, and regard it as the origin of this cosmological model. We find that the corresponding entropy obeys ordinary area law when the area of the trapping horizon is small, while it becomes a constant when area is going to be large in the original and modified polytropic Cardassian model, and it has a maximum value in the exponential one. It seems that the Cardassian universe only contains finite information according to the holographic principle, which states that all the information in the bulk should be encoded in the boundary of the bulk.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In the Cadassian universe, one can explain the acceleration of the universe without introducing dark energy component. | background 1.00 | 0.10 | 0.10 | asserted 0.57 |
| s1 | However, the dynamical equations of this model can not be directly obtained from the action principle. | background 0.52 | 0.07 | 0.03 | asserted 1.00 |
| s2 | Recently, works on the relation between thermodynamics and gravity indicates that gravity force may not be the fundamental force. | background 1.00 | 0.03 | 0.03 | hedged possibility 1.00 |
| s3 | In this paper, we study the thermodynamics of the Cardassian universe, and regard it as the origin of this cosmological model. | contribution 1.00 | 0.79 | 0.15 | asserted 0.91 |
| s4 | We find that the corresponding entropy obeys ordinary area law when the area of the trapping horizon is small, while it becomes a constant when area is going to be large in the original and modified polytropic Cardassian model, and it has a maximum value in the exponential one. | result 1.00 | 0.95 | 0.55 | asserted 1.00 |
| s5 | It seems that the Cardassian universe only contains finite information according to the holographic principle, which states that all the information in the bulk should be encoded in the boundary of the bulk. | interpretation 0.97 | 0.48 | 0.22 | hedged possibility 0.83 |
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The paper
Original abstract
In the Cadassian universe, one can explain the acceleration of the universe without introducing dark energy component. However, the dynamical equations of this model can not be directly obtained from the action principle. Recently, works on the relation between thermodynamics and gravity indicates that gravity force may not be the fundamental force. In this paper, we study the thermodynamics of the Cardassian universe, and regard it as the origin of this cosmological model. We find that the corresponding entropy obeys ordinary area law when the area of the trapping horizon is small, while it becomes a constant when area is going to be large in the original and modified polytropic Cardassian model, and it has a maximum value in the exponential one. It seems that the Cardassian universe only contains finite information according to the holographic principle, which states that all the information in the bulk should be encoded in the boundary of the bulk.
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How the literature uses it
1 arXiv paper cite this in 4 sentences
What it cites · 16 sentences without a confident label
Cites as background 14 papers
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[ref] proposed a unified first law of black hole dynamics and relativistic thermodynamics in spherically symmetric general relativity, see also [ref] .
Gravitational Energy in Spherical Symmetry · Introduction · 0.88
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[ref] proposed a unified first law of black hole dynamics and relativistic thermodynamics in spherically symmetric general relativity, see also [ref] .
Unified first law of black-hole dynamics and relativistic thermodynamics · Introduction · 0.88
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[ref] proposed a unified first law of black hole dynamics and relativistic thermodynamics in spherically symmetric general relativity, see also [ref] .
Dynamic black-hole entropy · Introduction · 0.88
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