Cosmological space-times with resolved Big Bang in Yang-Mills matrix models
Cosmological space-times with resolved Big Bang in Yang-Mills matrix models
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杨米尔斯矩阵模型中解析大爆炸的宇宙时空
DOI：
10.1007/jhep02(2018)033
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发表时间：
2017
影响因子：
5.4
通讯作者：
H. Steinacker
中科院分区：
文献类型：
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作者：
H. Steinacker
本文给出了IKKT型矩阵模型的简单解，该模型可以看作是量子化的均匀各向同性宇宙时空，具有有限的微观态密度和规则的大爆炸（BB）。BB产生的签名变化的有效度量上的模糊膜嵌入在洛伦兹目标空间中，在量化的4-体积形式的存在下。哈勃参数在BB处是奇异的，并且在后期变得很小。从目标空间的观点来看，没有奇点，并且膜在BB之前是欧几里得的。根据质量参数的不同，得到了两种宇宙的膨胀和坍缩解。
A bstractWe present simple solutions of IKKT-type matrix models that can be viewed as quantized homogeneous and isotropic cosmological space-times, with finite density of microstates and a regular Big Bang (BB). The BB arises from a signature change of the effective metric on a fuzzy brane embedded in Lorentzian target space, in the presence of a quantized 4-volume form. The Hubble parameter is singular at the BB, and becomes small at late times. There is no singularity from the target space point of view, and the brane is Euclidean “before” the BB. Both recollapsing and expanding universe solutions are obtained, depending on the mass parameters.