标题： 宇宙学卡西米尔效应与最大普朗克动量和加速宇宙 显示英文标题

标题： Cosmological Casimir effect with maximum planckian momentum and accelerating universe

摘要： 我们在这里开发一种机制，在不使用宇宙学常数的情况下，重现加速宇宙。 这是通过考虑卡西米尔真空能量密度来实现的，假设底层理论允许一个最大动量，这在大膨胀的弗里德曼-罗伯特森-沃克（FRW）宇宙中成为爱因斯坦方程的主要贡献项。 正如众多量子引力研究中所指出的，我们假设最大动量与普朗克长度作为基本长度的存在有关。 这一见解，结合在FRW背景上对能量/动量色散关系的普朗克尺度修正的假设，用于计算卡西米尔真空能量。 我们证明，在这些假设下，可以得到宇宙加速膨胀的结果。 最后一步是分析所得到的模型与实验数据的兼容性，写出卡西米尔能量和压力的状态方程，并观察到这种状态方程属于一类自然适合宇宙学观测的模型。 我们强调，一旦在卡西米尔效应中引入基本长度，我们的结果仅基于一般性论证，因此与能量动量色散关系的具体形式无关。 显示英文摘要

摘要： We develop here a mechanism that, without making use of a cosmological constant, reproduces an accelerating universe. This is done by taking into account Casimir vacuum energy density, assuming that the underlying theory allows a maximum momentum, that turns out to be the leading contribution term to Einstein equations in a large expanding FRW universe. As stated in numerous quantum gravity studies, we postulate that maximum momentum is related to the existence of the Planck length as a fundamental length. This insight, together with the assumption of a Planck scale correction to the energy/momentum dispersion-relation on a FRW background, is used here to calculate Casimir vacuum energy. We show that, under these hypothesis, an accelerated universe expansion is obtained. As last step we analyze the compatibility of the resulting model with experimental data, writing down the equation of state for Casimir energy and pressure and observing that this equation of state belongs to a class of models that naturally fits cosmological observations. We emphasize that our result relies, once a fundamental length is introduced in Casimir effect, just on general arguments thus it is independent on an explicit form of the energy-momentum dispersion relation.