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arXiv 2301.07973gr-qcphysics.hist-ph
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重新评价量子引力的时间问题

Reassessing the problem of time of quantum gravity

Alvaro Mozota Frauca

摘要:

在本文中,我对广义相对论的正则量子化的时间问题的最扩展的解决方案提出了一个担忧。其原因是,这些决议是基于类比与去参数化模型,其中的问题可以解决,而我认为在本文中,有很好的理由怀疑这些决议时,理论是不去参数化,这是广义相对论的情况。我介绍了一个例子,一个非decparametrizable模型,一个双谐振子系统表示的雅可比行动,并认为,这个模型的时间问题是不可解的,在这个意义上说,它的正则量子化不会导致两个谐振子的量子理论和时间问题的标准决议不适用于这种情况。我认为,由于广义相对论与这个模型有很强的相似性,人们应该认真对待这样一种观点,即广义相对论的正则量子化不会导致一个有意义的量子理论。最后,我评论说,这对量子引力的不同方法的基础产生了影响。

英文摘要:

In this paper I raise a worry about the most extended resolutions of the problem of time of canonical quantizations of general relativity. The reason for this is that these resolutions are based on analogies with deparametrizable models for which the problem can be solved, while I argue in this paper that there are good reasons for doubting about these resolutions when the theory is not deparametrizable, which is the case of general relativity. I introduce an example of a non-deparametrizable model, a double harmonic oscillator system expressed by its Jacobi action, and argue that the problem of time for this model is not solvable, in the sense that its canonical quantization doesn't lead to the quantum theory of two harmonic oscillators and the standard resolutions of the problem of time don't work for this case. I argue that as general relativity is strongly analogous to this model, one should take seriously the view that the canonical quantization of general relativity doesn't lead to a meaningful quantum theory. Finally, I comment that this has an impact on the foundations of different approaches to quantum gravity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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