The spacial expansion of the universe could be described as a tendency for satisfying holographic equipartition which inevitably demands the presence of dark energy. We explore whether this novel idea proposed by Padmanabhan gives any additional insights into the nature of dark energy. In particular, we obtain the constraints imposed by the law of emergence on the equation of state parameter, [Formula: see text]. We also present a thermodynamic motivation for the obtained constraints on [Formula: see text]. Further, we explicitly prove the feasibility of describing a dynamic dark energy model through the law of emergence. Interestingly, both holographic equipartition and the entropy maximization demand an asymptotically de Sitter universe with [Formula: see text], rather than a pure cosmological constant.

中文翻译：

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全息均分是否需要一个纯宇宙常数？

宇宙的空间膨胀可以描述为满足全息均分的趋势，这不可避免地需要暗能量的存在。我们探讨了 Padmanabhan 提出的这个新想法是否对暗能量的性质提供了任何额外的见解。特别是，我们获得了出现定律对状态参数方程施加的约束，[公式：见正文]。我们还提出了在 [公式：见文本] 上获得约束的热力学动机。此外，我们明确证明了通过涌现定律描述动态暗能量模型的可行性。有趣的是，全息均分和熵最大化都需要具有 [公式：见正文] 的渐近德西特宇宙，而不是纯宇宙学常数。