论文标题
非单数，弹跳的理论宇宙
Non singular, bouncing M theory universe
论文作者
论文摘要
我们建议一组方程作为一个简单的模型，用于$ 10 + 1 $尺寸的宇宙的非奇异演变。我们的模型使用循环量子宇宙学中的想法，并为奇异性分辨率的重要问题提供了解决方案。我们通过数值求解方程，发现该模型中的M理论宇宙是非单一的，反弹的演变：返回时光，其密度达到最大值，此后降低了其物理大小，而其物理大小达到了非消失的最小值，此后增加了。将宇宙的组成部分视为最熵的组成部分（这是四组相交的M Branes）导致了一个有效的$ 3 + 1 $尺寸时空，因为M Theory Universe在无限的过去和未来中都会扩展。
We propose a set of equations as a simple model for non singular evolutions of a $10 + 1$ dimensional M theory universe. Our model uses ideas from Loop Quantum Cosmology and offers a solution to the important problem of singularity resolutions. We solve the equations numerically and find that an M theory universe in this model evolves non singularly and with a bounce : going back in time, its density reaches a maximum and decreases thereafter whereas its physical size reaches a non vanishing minimum and increases thereafter. Taking the constituents of the universe to be the most entropic ones (which are four sets of intersecting M branes) leads to an effectively $3 + 1$ dimensional spacetime as the M theory universe expands, both in the infinite past and future.
