We present evidence that recent numerical results from the reduced classical equations of a Lorentzian matrix model can be interpreted as corresponding to the emergence of an expanding universe. In addition, we propose an effective metric to describe the emerging (3+1)-dimensional spacetime. This metric gives, at all times, finite values for the Ricci and Kretschmann curvature scalars. With these results, we are able to give a heuristic discussion of the origin of the Universe in the context of the matrix model (conceptually, we expect the large-$N$ master field to play a crucial role, but the details are not yet clear).

中文翻译：

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从洛伦兹矩阵模型看膨胀宇宙的出现

我们提供的证据表明，洛伦兹矩阵模型的简化经典方程的最新数值结果可以解释为对应于膨胀宇宙的出现。此外，我们提出了一个有效的度量来描述新兴的（3+1）维时空。该度量始终提供 Ricci 和 Kretschmann 曲率标量的有限值。有了这些结果，我们就可以在矩阵模型的背景下对宇宙起源进行启发式讨论（从概念上讲，我们预计大 $N$ 主域将发挥关键作用，但细节尚未确定）清除）。