Abstract
Abstract In the context of Mohamed El Naschie ϵ(∞) theory, we present a segregated universe in terms of Tolman–Bondi equations of pressure-free spherically symmetric systems of particles. We demonstrate the agreement between our model of segregation with a size of astrophysical structures via a comparison between quantum and astrophysical quantities. In [Iovane G, Laserra E, Giordano P. Fractal Cantorian structures with spatial pseudo-spherical symmetry for a possible description of the actual segregated universe as a consequence of its primordial fluctuations. Chaos, Solitons & Fractals 2004;22(3):521] we considered a scale factor a2(r) = 1, here we will also analyze a2(r) ≠ 1.
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