We study the quantum fate of a naked curvature singularity sourced by a scalar field via several methods and compare the results obtained. The first method relies on relativistic quantum mechanics on a fixed background employing the Klein--Gordon and the Dirac equations for a static spacetime. We show that both the Klein--Gordon and the Dirac particles feel this singularity therefore this method does not provide its resolution. For comparison, we subsequently employ methods for quantizing the geometry itself. We selected the canonical quantization via conditional symmetries and as a last approach we use a maximal acceleration derivation in the covariant loop quantum gravity. In both of these approaches the singularity is resolved at the quantum level. We discuss these conflicting results bearing in mind that quantum particles probe classical geometry in the first approach while the last two methods quantize the geometry itself.

中文翻译：

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具有标量头发的类时裸奇点的量子命运

我们通过多种方法研究了源自标量场的裸曲率奇点的量子命运，并比较了获得的结果。第一种方法依赖于固定背景下的相对论量子力学，使用 Klein--Gordon 和 Dirac 方程来处理静态时空。我们表明 Klein--Gordon 和 Dirac 粒子都感受到了这种奇点，因此该方法不能提供其分辨率。为了进行比较，我们随后采用了量化几何本身的方法。我们通过条件对称性选择了规范量化，作为最后一种方法，我们在协变环量子引力中使用最大加速度推导。在这两种方法中，奇点都是在量子水平上解决的。