Holographic dark energy from the laws of thermodynamics with R\'enyi entropy

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This article investigates the relationship between the holographic principle and the laws of thermodynamics in explaining the late-time acceleration of the universe.

• First, we explore the possibilities of generating the standard holographic dark energy (SHDE) from the laws of horizon thermodynamics.
• Except for entropies that follow an exponent stretched area law, unless we redefine the horizon temperature, we found it challenging to construct a one-to-one correspondence between the dark energies defined by the holographic principle and the laws of thermodynamics.
• Secondly, in SHDE models, unless we invoke some phenomenological interactions, it is impossible to explain the late-time cosmic acceleration with the Hubble horizon as the IR cutoff.