Einstein静态宇宙、GUP和自然IR和UV截止
Einstein static universe, GUP, and natural IR and UV cut-offs
摘要：
我们在斯奈德非对易空间构建的广义不确定原理框架下研究爱因斯坦静态宇宙。结果表明，形变参量可以诱导出一个服从全息原理的有效能量密度，它起着宇宙学常数的作用。利用这种有效能量密度的全息特性，我们引入了依赖于基于GUP的有效状态方程的自然IR和UV截止。此外，我们还提出了一个解决宇宙学常数问题的方法。该解基于爱因斯坦方程仅耦合到由形变参数引起的基于全息的微小表面能密度（宇宙学常数），而不是具有$M_P^4$级贡献的基于量子引力的大体积能量密度（真空能量）的结果。
英文摘要：
We study the Einstein static universe in the framework of Generalized Uncertainty Principle constructed by the Snyder non-commutative space. It is shown that the deformation parameter can induce an effective energy density subject to GUP which obeys the holographic principle (HP) and plays the role of a cosmological constant. Using the holographic feature of this effective energy density, we introduce natural IR and UV cut-offs which depend on the GUP based effective equation of state. Moreover, we propose a solution to the cosmological constant problem. This solution is based on the result that the Einstein equations just couple to the tiny holographic based surface energy density (cosmological constant) induced by the deformation parameter, rather than the large quantum gravitational based volume energy density (vacuum energy) having contributions of order $M_P^4$.
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