Rényi entropy correction to expanding universe

The Renyi entropy coprises a group of data estimates that sums up the well-known Shannon entropy, acquiring considerable lot its properties. It appears as unqualified and restrictive relative or common data, has found numerous applications in information theory. Renyi's argument, area law black hole plays significant role. However, total can be modified by some quantum effects, motivated randomness system. In this note, employing relation, we have derived corrections to Newton's gravitation. Taking associated with apparent horizon Friedmann-Robertson-Walker Universe assuming first thermodynamics, dE=TdS+WdV, satisfies horizon, reconsidered expanding find Friedmann equations. Also, second thermodynamics been examined.