具有最大普朗克动量的宇宙Casimir效应与加速宇宙
Cosmological Casimir effect with maximum planckian momentum and accelerating universe
摘要：
我们在这里发展了一种机制，不使用宇宙学常数，复制一个加速的宇宙。这是通过考虑卡西米尔真空能量密度来完成的，假设基础理论允许最大动量，这是在一个大的膨胀FRW宇宙中爱因斯坦方程的主要贡献项。正如许多量子引力研究所述，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。这种见解，连同普朗克尺度修正的能量/动量色散关系的FRW背景的假设，在这里被用来计算卡西米尔真空能量。我们表明，在这些假设下，宇宙的加速膨胀。作为最后一步，我们分析所得到的模型与实验数据的兼容性，写下卡西米尔能量和压力的状态方程，并观察到这个状态方程属于一类模型，自然适合宇宙学观测。我们强调，我们的结果依赖于，一旦一个基本长度被引入Casimir效应，只是一般的论点，因此它是独立的显式形式的能量动量色散关系。
英文摘要：
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.
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