Probing the thermodynamic properties of the Hawking-Page phase transition of asymptotically-flat black holes in Rényi statistics. We reveal the evidence for the persisting of the dual universal formula associated with the Hawking-Page (HP) and minimum black hole thermodynamical transition points. Our study unveils the universal properties of the black holes in different statistics, in particular beyond the Gibbs-Boltzmann formalism, and motivates a further promising bridge between the nonextensivity Rényi parameter λ and the cosmological constant Λ. Besides, we discover that universal ratios related to horizon radius, Rényi temperature, and entropy can be shown to appear in presence of such a transition.

在 Rényi 统计中探索渐近平坦黑洞的霍金-佩奇相变的热力学性质。我们揭示了与霍金佩奇 (HP) 和最小黑洞热力学转变点相关的双重普遍公式持续存在的证据。我们的研究揭示了黑洞在不同统计数据中的普遍性质，特别是在吉布斯-玻尔兹曼形式主义之外，并激发了在非广延性 Rényi 参数λ和宇宙学常数 Λ 之间建立进一步有希望的桥梁。此外，我们发现与视界半径、Rényi 温度和熵相关的普遍比率可以显示在这种转变的存在下。