Thermodynamically consistent entropic-force cosmology
  We analyze the thermodynamical consistency of entropic-force cosmological
models. Our analysis is based on a generalized entropy scaling with an
arbitrary power of the Hubble radius. The Bekenstein-Hawking entropy,
proportional to the area, and the nonadditive $S_{\delta=3/2}$-entropy,
proportional to the volume, are particular cases. One of the points to be
solved by entropic-force cosmology for being taken as a serious alternative to
mainstream cosmology is to provide a physical principle that points out what
entropy and temperature have to be used. We determine the temperature of the
universe horizon by requiring that the Legendre structure of thermodynamics is
preserved. We compare the performance of thermodynamically consistent
entropic-force models with regard to the available supernovae data by providing
appropriate constraints for optimizing alternative entropies and temperatures
of the Hubble screen. Our results point out that the temperature differs from
the Hawking one.
