Limiting Temperature, Limiting Curvature and the Cyclic Universe

Details Limiting Temperature, Limiting Curvature and the Cyclic Universe Limiting Temperature, Limiting Curvature and the Cyclic Universe

2003-07-06

arxiv.org/abs/hep-th/0307061v2

Int.J.Mod.Phys. A19 (2004) 4367-4386

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217751X04019664

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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