Holographic dark energy from the laws of thermodynamics with Rényi entropy

Abstract This article investigates the relationship between holographic principle and laws of thermodynamics in explaining late-time acceleration universe. First, we explore possibilities generating standard dark energy (SHDE) from horizon thermodynamics. Except for entropies that follow an exponent stretched area law, unless redefine temperature, found it challenging to construct a one-to-one correspondence energies defined by Secondly, SHDE models, invoke some phenomenological interactions, is impossible explain cosmic with Hubble as IR cutoff. On other hand, possible induce integration constant using on horizon. These motivated us feasible way We show additional terms appear modified Friedmann equations than Bekenstein–Hawking entropy first law can behave like dynamic (HDE). study features such HDE Rényi choice without considering any non-standard interactions. Interestingly, resulting form reduces cosmological when entropy. By examining different parameters, affirm validity our approach energy, which respects both