Spatiotemporal complexity of the universe at subhorizon scales

نویسنده

  • Haret C. Rosu
چکیده

This is a short note on the spatiotemporal complexity of the dynamical state(s) of the universe at subhorizon scales (up to 300 Mpc). There are reasons, based mainly on infrared radiative divergences, to believe that one can encounter a flicker noise in the time domain, while in the space domain, the scaling laws are reflected in the (multi)fractal distribution of galaxies and their clusters. There exist recent suggestions on a unifying treatment of these two aspects within the concept of spatiotemporal complexity of dynamical systems driven out of equilibrium. Spatiotemporal complexity of the subhorizon dynamical state(s) of the universe is a conceptually nice idea and may lead to progress in our understanding of the material structures at large scales. PACS numbers: 98.65.-r, 02.50.-r, 05.40.+j IFUG-26/94 [HCR]; Nuovo Cimento B 110, 457-459 (April 1995) astro-ph/9411112 Spatiotemporal complexity of the universe at subhorizon scales Haret C. Rosu Instituto de F́ısica de la Universidad de Guanajuato, Apdo Postal E-143, 37150 Léon, Gto, México The problem of large scale structure of the universe, that is the understanding of the hierarchical large-scale clustering of galaxies, is one of the fundamental topics in modern cosmology [1]. At subhorizon scales of less than about 300 Mpc the structure of the universe, as reflected, e.g., in the two-point correlation functions of galaxies, cluster of galaxies, and quasars, shows a common fractal behavior of the type r−γ with γ ∼ 1.8. There exists already an extensive ‘(multi-) fractal’ literature on detailed aspects of the scaling properties of the large-scale structure [2]. Fractals are not the only candidates in providing a quantitative analysis of the subhorizon cosmological structure. Various kinds of percolations [3] as well as nonlinear diffusions either in the same percolation approach or defined through some nonlinearnoisy differential equations expressing large-scale turbulent/stochastic behavior [4] are powerful alternatives. For example, the above-mentioned result on the γ exponent is close both to the fractal dimension of selfsimilar percolation clusters (df= 1.89) and to the fractal dimension of the hull of the diffusion front (df= 1.75). An interesting and far from innoccuous question that one can ask is the nature of the dynamical state(s) of the Universe [DSU] at subhorizon scales. It is the goal of this note to provide some general heuristic arguments concerning the DSU. The arguments are based on a number of interesting results/claimings scattered in the literature of several distinct topics. Our point here is to emphasize the connection of the DSU problem with the general framework of spatiotemporal complexity of dynamical systems in nonequilibrium conditions,

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تاریخ انتشار 1997