2007/12/06 by K. Ropotenko, Ropotenko, K. · 1 citation
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.0712.0993
5 pages, no figures
arxiv created 2007/12/06 · arxiv updated 2009/12/01
For an ordinary thermodynamical system the Poincaré recurrence time is exponentially large in the Boltzmann entropy of the system. It turns out, that for a system with dynamical chaos it is determined by the Kolmogorov-Sinai entropy and can be considerably shorter. It is shown in this note that for the de Sitter space with strong mixing properties the mean recurrence time is equal to the inverse Hubble constant. This means that our universe can have a finite lifetime bounded by the current age of the universe. After this time, the universe should recycle itself and this process has neither a beginning nor an end.