The time-like naked singularities of the electrically and magnetically charged black hole solutions obtained in a model of nonlinear electrodynamics proposed by Kruglov is investigated within the framework of quantum mechanics. In view of quantum mechanics, the spacetime is quantum regular provided that the time evolution of the test quantum wave packet uniquely propagates on an underlying background. Rigorous calculations have shown that when the singularity is probed with specific quantum wave/particle modes, the quantum wave operator turns out to be essentially self-adjoint. Thus, the time evolution of the quantum wave/particle is determined uniquely. In the case of electrically charged black hole background, the unique evolution is restricted to [Formula: see text]-wave only. For the two different magnetically charged black hole backgrounds, the time evolution is restricted to different modes for each case.

中文翻译：

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非线性电动力学模型中带电和带磁黑洞的类时间裸奇点的量子探测

在量子力学的框架内研究了在 Kruglov 提出的非线性电动力学模型中获得的带电和带磁黑洞解的类时间裸奇点。从量子力学的角度来看，如果测试量子波包的时间演化在底层背景上唯一地传播，则时空是量子规则的。严格的计算表明，当用特定的量子波/粒子模式探测奇点时，量子波算子本质上是自伴的。因此，量子波/粒子的时间演化是唯一确定的。在带电黑洞背景的情况下，独特的演化仅限于[公式：见正文]-波。对于两个不同的带磁黑洞背景，