论文标题
噪声在早期宇宙中的作用
The role of noise in the early universe
论文作者
论文摘要
我们考虑了一个量子机械系统来对量子场对早期宇宙演化的影响进行建模。该系统由一个倒置的振荡器组成,该振荡器与一组谐波振荡器组成。我们指出,噪声的作用在振荡器的动力学中可能至关重要,该动力学使用随机频率的谐波振荡器理论进行分析。使用这种类比,我们认为,由于其平均值围绕其平均值的波动,正真空能量密度不会产生指数膨胀而是振荡的宇宙,而倒置的摆被悬浮点的随机振荡稳定的方式相同。结果强调了噪声在量表因子的演变中的相关性。
We consider a quantum mechanical system to model the effect of quantum fields on the evolution of the early universe. The system consists of an inverted oscillator bilinearly coupled to a set of harmonic oscillators. We point out that the role of noise may be crucial in the dynamics of the oscillator, which is analyzed using the theory of harmonic oscillators with random frequency. Using this analogy we argue that, due to the fluctuations around its mean value, a positive vacuum energy density would not produce an exponentially expanding but an oscillating universe, in the same fashion that an inverted pendulum is stabilized by random oscillations of the suspension point (stochastic Kapitza pendulum). The results emphasize the relevance of noise in the evolution of the scale factor.