2005
DOI: 10.1007/s10509-005-9134-0
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A simple Newtonian model for the fractal accelerating Universe

Abstract: We propose a simple mechanism for driving the recently detected non-decelerating expansion of the observable Universe. It is based on the assumption of the predominance of the vacuum energy over the inert matter and a fractal structuring of the latter. The Newton's universal gravitational force ensures the attraction between celestial bodies at small and medium astronomical distances, but gives rise to the repulsive interaction between mutually very separated cosmic subsystems, like clusters and superclusters,… Show more

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Cited by 8 publications
(5 citation statements)
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“…Nevertheless, we can imagine a spherical bubble of an ideal gas (corresponding, here, to the material universe) imbedded in the bulk of a fluid, i.e. liquid (corresponding here to the dark energy vacuum [11]). In this case surface tension (corresponding to the vacuum action) of the liquid without spherical bubble is directed radially from sphere center toward sphere surface, in other words "anti-gravitationally".…”
Section: The Model and Resultsmentioning
confidence: 99%
“…Nevertheless, we can imagine a spherical bubble of an ideal gas (corresponding, here, to the material universe) imbedded in the bulk of a fluid, i.e. liquid (corresponding here to the dark energy vacuum [11]). In this case surface tension (corresponding to the vacuum action) of the liquid without spherical bubble is directed radially from sphere center toward sphere surface, in other words "anti-gravitationally".…”
Section: The Model and Resultsmentioning
confidence: 99%
“…As it became clear in the process of obtaining of the motion equations of SP, the dualism of energy and strength is a consequence of the dualism of internal symmetries and symmetry of space for structural bodies. The dualism of symmetry, and that the matter consists of from the systems that obey the universal laws of dynamics are cause of the infinite divisibility of matter and its fractal [14] (see Figure 2).…”
Section: Discussionmentioning
confidence: 99%
“…This definition of the entropy corresponds to Clausius one [6] [14]. The only difference is that classical entropy follows from analytical expression for the change of an internal energy obtained by us based on Newton's laws.…”
Section: The Ns Mechanics and Entropymentioning
confidence: 99%
“…Hierarchical model allows for the cosmic accelerated expansion too, as demonstrated by a number of authors (see, e.g. [20]), and the presence of dark matter (see, e.g. [21]).…”
Section: The Fractal Dimensionmentioning
confidence: 99%