Limiting Temperature, Limiting Curvature and the Cyclic Universe

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.

23 pages, 7 figures. Minor corrections in text and one reference added

References in corpus (6)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Cosmological Perturbations in a Big Crunch/Big Bang Space-time
• Stabilization of Extra Dimensions at Tree Level
• Conditions for Generating Scale-Invariant Density Perturbations
• Inflation versus Cyclic Predictions for Spectral Tilt

Cited by in corpus (5)

• Effects of space-time noncommutativity on the angular power spectrum of the CMB
• Unification of Cosmology and Second Law of Thermodynamics: Solving Cosmological Constant Problem, and Inflation
• Banks-Zaks Cosmology, Inflation, and the Big Bang Singularity
• A mechanism of the large-scale damping in the CMB anisotropy
• CMB Fluctuations and String Compactification Scales