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Fractal analysis of the large-scale stellar mass distribution in the Sloan Digital Sky Survey
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A novel fractal analysis of the cosmic web structure is carried out, employing the Sloan Digital Sky Survey, data release 7. We consider the large-scale stellar mass distribution, unlike other analyses, and determine its multifractal geometry, which is compared with the geometry of the cosmic web generated by cosmological N-body simulations. We find a good concordance, the common features being: (i) a minimum singularity strength equal to one, which corresponds to the edge of diverging gravitational energy and differs from the adhesion model prediction; (ii) a "supercluster set" of relatively high dimension where the mass concentrates; and (iii) a non-lacunar structure, like the one generated by the adhesion model.
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Fractional entropy of the Brown-Kucha\v{r} dust in fractional anti-de Sitter quantum gravity
In flat AdS quantum cosmology with Brown-Kuchar dust, the fractional Wheeler-DeWitt equation yields mass and entropy spectra scaling as (n+1/2)^(alpha/2), with a fractal mass dimension D = 3 alpha / 2.
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