标题： 量子宇宙学，最小长度和全息理论 显示英文标题

标题： Quantum cosmology, minimal length and holography

摘要： 我们研究广义不确定性原理对充满两种流体（即尘埃和辐射，且不相互作用）的闭合弗里德曼宇宙的经典和量子宇宙学的影响。 更具体地说，假设存在一个最小长度，我们表明相应的最小面积将构成一个狄拉克可观测量。 此外，还研究了't Hooft关于宇宙全息原理的假说，无论是否存在尘埃或辐射。 我们描述了当量子数为大值时，这种全息原理是如何被满足的，$n$。 这是当熵以最小面积为基础进行计算时发生的情况。 显示英文摘要

摘要： We study the effects of a generalized uncertainty principle on the classical and quantum cosmology of a closed Friedmann Universe filled with two fluids, namely, dust and radiation, non-interacting. More concretely, assuming the existence of a minimal length, we show that a corresponding minimal area will constitute a Dirac observable. In addition, 't Hooft conjecture on the cosmological holographic principle is also investigated for either the case of dust or radiation being present. We describe how this holographic principle is satisfied for large values of a quantum number, $n$. This occurs when the entropy is computed in terms of the minimal area.