31,319 research outputs found
Cosmological model from the holographic equipartition law with a modified R\'{e}nyi entropy
Cosmological equations were recently derived by Padmanabhan from the
expansion of cosmic space due to the difference between the degrees of freedom
on the surface and in the bulk in a region of space. In this study, a modified
R\'{e}nyi entropy is applied to Padmanabhan's `holographic equipartition law',
by regarding the Bekenstein--Hawking entropy as a nonextensive Tsallis entropy
and using a logarithmic formula of the original R\'{e}nyi entropy.
Consequently, the acceleration equation including an extra driving term (such
as a time-varying cosmological term) can be derived in a homogeneous,
isotropic, and spatially flat universe. When a specific condition is
mathematically satisfied, the extra driving term is found to be constant-like
as if it is a cosmological constant. Interestingly, the order of the
constant-like term is naturally consistent with the order of the cosmological
constant measured by observations, because the specific condition constrains
the value of the constant-like term.Comment: Final version accepted for publication in EPJC. The titile is revised
and references are added. [12 pages, 4 figures
Belyi Function whose Grothendieck Dessin is a Flower Tree with Two Ramification Indices
In this paper we present an explicit construction of Belyi functions whose dessins are flower trees (i.e., graphs of diameter 4) with two ramification indices. We also give a method for obtaining Belyi functions defined over the moduli fields of the dessins.</p
Let Me Tell You My Story1: Women’s Narratives in Hindi Magazines of Early Twentieth Century India
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