31,074 research outputs found

    Cosmological model from the holographic equipartition law with a modified R\'{e}nyi entropy

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    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

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    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

    On a theorem of M. S. Putcha and A. Yaqub

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    Let Me Tell You My Story1: Women’s Narratives in Hindi Magazines of Early Twentieth Century India

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