In this article, the analysis of Tsallis holographic dark energy (which turns into holographic dark energy for a particular choice of positive non-additivity parameter δ) in modified f (T, B) gravity with the validity of thermodynamics and energy conditions for a homogeneous and isotropic FLRW Universe has been studied. The enlightenment of the field equation towards , made possible by the fact that the model is purely accelerating, corresponds to q = −0.54 (Mamon and Das 2017 Eur. Phys. J. C 77 49). The generalized second law of thermodynamics is valid not only for the same temperature inside the horizon, but also for the apparent horizon for a change in temperature. The essential inspiration driving this article is to exhibit the applicability that the holographic dark energy achieved from standard Tsallis holographic dark energy and the components acquired from f(T, B) gravity are identical for the specific bounty of constants. The analysis of energy conditions confirms that the weak energy condition and the null energy condition are fulfilled throughout the expansion, while violation of the strong energy condition validates the accelerated expansion of the Universe. With the expansion, the model becomes a quintessence dominated model. The dominant energy condition is not observed initially when the model is filled with genuine baryonic matter, whereas it appears when the model is in the quintessence dominated era.

中文翻译：

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具有热力学有效性的 f(T, B) 重力暗能量模型的能量条件

在本文中，在修正的 f (T, B) 引力中，Tsallis 全息暗能量（在特定选择的正非可加性参数 δ 时转化为全息暗能量）的分析，以及热力学和能量条件对于均质的有效性和各向同性 FLRW 宇宙已被研究。场方程对 的启示，由于模型纯粹加速这一事实而成为可能，对应于 q = -0.54 (Mamon and Das 2017 Eur. Phys. J. C 77 49)。广义的热力学第二定律不仅适用于视界内的相同温度，而且适用于温度变化的视视界。推动本文的基本灵感是展示从标准 Tsallis 全息暗能量获得的全息暗能量和从 f(T, B) 引力获得的分量对于常数的特定丰度是相同的适用性。能量条件的分析证实，弱能量条件和零能量条件在整个膨胀过程中都得到满足，而强能量条件的违反则证实了宇宙的加速膨胀。随着扩展，该模型成为一个以精华为主的模型。当模型充满真正的重子物质时，最初没有观察到主导能量条件，而当模型处于精华主导时代时，它会出现。能量条件的分析证实，弱能量条件和零能量条件在整个膨胀过程中都得到满足，而强能量条件的违反则证实了宇宙的加速膨胀。随着扩展，该模型成为一个以精华为主的模型。当模型充满真正的重子物质时，最初没有观察到主导能量条件，而当模型处于精华主导时代时，它会出现。能量条件的分析证实，弱能量条件和零能量条件在整个膨胀过程中都得到满足，而强能量条件的违反则证实了宇宙的加速膨胀。随着扩展，该模型成为一个以精华为主的模型。当模型充满真正的重子物质时，最初没有观察到主导能量条件，而当模型处于精华主导时代时，它会出现。