@article{oai:kanazawa-u.repo.nii.ac.jp:00009438, author = {Komatsu, Nobuyoshi}, issue = {4}, journal = {European Physical Journal C}, month = {Apr}, note = {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 Rényi 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 Rényi 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. © 2017, The Author(s).}, title = {Cosmological model from the holographic equipartition law with a modified Rényi entropy}, volume = {77}, year = {2017} }