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Open AccessJournal ArticleDOI

Limiting temperature, limiting curvature and the cyclic universe

TLDR
In this article, the authors proposed a cosmological model in which not only the temperature but also the curvature is limited by the mass scale of the Hagedorn temperature.
Abstract
We propose a new type of cosmological model in which it is postulated that not only the temperature but also the curvature is limited by the mass scale of the Hagedorn temperature. We find that the big bang of this universe is smoothly connected to the big crunch of the previous universe through a Hagedorn universe, in which the temperature and curvature remain very close to their limiting values. In this way, we obtain the picture of a cyclic universe. By estimating the entropy gained in each big crunch and big bang, we reach the conclusion that our universe has repeated this process about forty times after it was created at the Planck scale. We also show that the model gives a scale-invariant spectrum of curvature perturbations.

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Citations
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Journal ArticleDOI

Effects of space-time noncommutativity on the angular power spectrum of the CMB

TL;DR: In this paper, the effects of space-time noncommutativity on the quantum fluctuations of an inflaton field and their contributions to the cosmic microwave background (CMB) were investigated.
Journal ArticleDOI

Unification of cosmology and the second law of thermodynamics : Proposal for solving the cosmological constant and inflation problems

TL;DR: In this paper, it was shown that there is no strong maximum for the entropy of a cyclic time model world and that an S 1 cyclic model world could have entropy that varies by at most a factor of two and would not be phenomenologically realistic.
Journal ArticleDOI

A mechanism of the large-scale damping in the CMB anisotropy

TL;DR: In this paper, a mechanism through which a certain class of short-distance cutoff affects the CMB anisotropies at large angular scales is presented, and a condition for a cutoff to yield a damping on large scales.
Journal ArticleDOI

Banks-Zaks cosmology, inflation, and the Big Bang singularity

TL;DR: In this article, the authors consider the thermodynamic behavior of the Bank-Zaks theory close to the conformal point in a cosmological setting and provide a full "phase diagram" of possible Universe evolution for the given parameters.
Journal ArticleDOI

Banks-Zaks Cosmology, Inflation, and the Big Bang Singularity

TL;DR: In this paper, the authors consider the thermodynamical behavior of the Bank-Zaks theory close to the conformal point in a cosmological setting and provide a full "phase diagram" of possible Universe evolution for the given parameters.
References
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Journal ArticleDOI

Cosmological Event Horizons, Thermodynamics, and Particle Creation

TL;DR: In this article, it was shown that the relationship between event horizons and thermodynamics can be extended to cosmological models with a repulsive cosmology constant, and that the spacetime metric itself appears to be observer-dependent.
Book

Theory of Cosmological Perturbations

TL;DR: In this paper, the authors present in a manifestly gauge-invariant form the theory of classical linear gravitational perturbations in part I, and a quantum theory of cosmological perturbation in part II.
Book

Cosmological Inflation and Large-Scale Structure

TL;DR: This textbook is the first to provide a modern and unified overview of inflationary cosmology and carefully compares predictions with the latest observations, including those of the cosmic microwave background, the clustering and velocities of galaxies and the epoch of structure formation.
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