2020
DOI: 10.3390/sym12040597
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Scale Symmetry in the Universe

Abstract: Scale symmetry is a fundamental symmetry of physics that seems however not to be fully realized in the universe. Here, we focus on the astronomical scales ruled by gravity, where scale symmetry holds and gives rise to a truly scale invariant distribution of matter, namely it gives rise to a fractal geometry. A suitable explanation of the features of the fractal cosmic mass distribution is provided by the nonlinear Poisson–Boltzmann–Emden equation. An alternative interpretation of this equation is connected wit… Show more

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Cited by 4 publications
(2 citation statements)
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“…The tetrahedral coordination sphere of carbon, nitrogen, and oxygen, accompanied by the four-bondedness of a saturated carbon atom, are critical determinants of protein-ligand interaction [196].…”
Section: Abbreviationmentioning
confidence: 99%
“…The tetrahedral coordination sphere of carbon, nitrogen, and oxygen, accompanied by the four-bondedness of a saturated carbon atom, are critical determinants of protein-ligand interaction [196].…”
Section: Abbreviationmentioning
confidence: 99%
“…Notably, from a theoretical perspective, self-organization is considered a new form of global STS, namely, scale-invariance reflecting the dynamics of energy/matter at all levels of organizational hierarchy, from elementary particles through cells and organisms to the universe as a whole [Kurakin. 2011;Gaite. 2020].…”
Section: After Wordsmentioning
confidence: 99%