Fractal Cantorian structures with spatial pseudo-spherical symmetry for a possible description of the actual segregated universe as a consequence of its primordial fluctuations

Self-similar and oscillating solutions of Einstein's equation and other relevant consequences of a stochastic self-similar and fractal Universe via El Naschie's ε(∞) Cantorian space–time

“…Particularly, our model is related to Penrose tiling and thus to e ð1Þ theory (Cantorian spacetime theory) as proposed by El Naschie [9,10] as well as with Connes Noncommutative Geometry [11]. In [1] the authors presented a descriptive model of segregated universe, then considered a dynamical model to explain the results and to give the evolution of the structures [12]. In [13] a waveguiding and mirroring effects are considered with respect to the large scale structure of the Universe.…”

Evolution of a Spherical Universe in a Short Range Collapse/Generation Interval

“…Moreover this result allows the generalization of some of the results found in the previous papers [4], [8] in the spatially euclidean case (at least in an a suitable interval of time), also to the not euclidean case.…”

“…8 It is not possible to expand the second member of (14) in a simple power series with respect to Y , but we can develop it in Mac Lauren series with respect to √ Y thus obtaining a fractional power series. As it is known the fractional power series are particular cases of Puiseux series (see e.g.…”

Dynamical systems on El Naschie’s ε(∞) Cantorian space–time

“…Particularly, the model is related to Penrose tiling and thus to e (1) theory (Cantorian space-time theory) as proposed by El Naschie [8,9] as well as with Connes Noncommutative Geometry [10]. In [1] the authors presented a descriptive model of segregated universe, then considered a dynamical model to explain the results and to give the evolution of the structures [11]. In [12] a waveguiding and mirroring effects are considered with respect to the large scale structure of the Universe.…”