论文标题
Weyl的相对论潜力：在引力存在下通往量子物理的门户？
Relativistic potential of Weyl: a gateway to quantum physics in the presence of gravitation?
论文作者
论文摘要
引力和电动力学之间的良好对应关系强调了Lanczos张量的重要性 - Weyl Tensor的潜力 - 这是任何在4维伪RIEMANN SPACETIME中提出的重力指标的固有结构元素。但是，这一巧妙的发现在很大程度上没有引起注意。我们通过在一些特别选择的空间中得出其表达方式来阐明这一重要数量，并尝试找出其实际上代表的内容。我们发现，正如各种证据所确定的那样，Lanczos的电量张量并不代表重力场的潜力。相反，它充满了各种量子特征的特征，这为重力的几何体现的心脏提供了新的见解。
The well-noted correspondence between gravitation and electrodynamics emphasizes the importance of the Lanczos tensor -- the potential of the Weyl tensor -- which is an inherent structural element of any metric theory of gravity formulated in a 4-dimensional pseudo Riemannian spacetime. However, this ingenious discovery has gone largely unnoticed. We elucidate this important quantity by deriving its expressions in some particularly chosen spacetimes and try to find out what it represents actually. We find out that the Lanczos potential tensor does not represent the potential of the gravitational field, as is ascertained by various evidences. Rather, it is enriched with various signatures of quantum character, which provides a novel insight into the heart of a geometric embodiment of gravity.
