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Conditional interpretation of time in quantum gravity and a time operator in relativistic quantum mechanics
International Journal of Modern Physics A ( IF 1.6 ) Pub Date : 2020-07-21 , DOI: 10.1142/s0217751x20501146
M. Bauer 1 , C. A. Aguillón 2 , G. E. García 2
Affiliation  

The problem of time in the quantization of gravity arises from the fact that time in Schrödinger’s equation is a parameter. This sets time apart from the spatial coordinates, represented by operators in quantum mechanics (QM). Thus “time” in QM and “time” in general relativity (GR) are seen as mutually incompatible notions. The introduction of a dynamical time operator in relativistic quantum mechanics (RQM), that follows from the canonical quantization of special relativity and that in the Heisenberg picture is also a function of the parameter [Formula: see text] (identified as the laboratory time), prompts to examine whether it can help to solve the disfunction referred to above. In particular, its application to the conditional interpretation of time in the canonical quantization approach to quantum gravity is developed.

中文翻译:

量子引力中时间的条件解释和相对论量子力学中的时间算子

引力量子化中的时间问题源于薛定谔方程中的时间是一个参数这一事实。这将时间与由量子力学 (QM) 中的运算符表示的空间坐标区分开来。因此,QM 中的“时间”和广义相对论 (GR) 中的“时间”被视为互不相容的概念。在相对论量子力学 (RQM) 中引入动态时间算子,该算子源自狭义相对论的规范量化,在海森堡图像中也是参数 [公式:见正文](确定为实验室时间)的函数, 提示检查是否有助于解决上述故障。特别是,它在量子引力的规范量化方法中对时间的条件解释的应用得到了发展。
更新日期:2020-07-21
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