论文标题
Wigner的有效数学和矛盾
Wigner's effective mathematics and contradiction
论文作者
论文摘要
复数是基本的。不一致会质疑Wigner对数学的不合理有效性。研究这个问题的工具是基尔乔夫的标量衍射理论。在本文中，提出了复杂相角的不一致性。当Kirchoff理论中引入这种不一致时，我们可以研究其对该理论实验成功的影响。没有\ emph {先验}的原因来包括或排除相角。参考Wigner，一个实验可以提供更多的见识。在实验中，强度较弱，可以使用小波长源。当排除矛盾的相位角度时，非零衍射幅度在物理上似乎有可能。如果包括在内，那么这种振幅就会消失。
Complex numbers are basic. An inconsistency would question Wigner's unreasonable effectiveness of mathematics. A vehicle to study this question is Kirchoff's scalar diffraction theory. In the paper, an inconsistency in complex phase angle is presented. When this inconsistency is introduced in Kirchoff's theory we can study its influence on the experimental success of this theory. There are no \emph{a priori} reasons to include or exclude phase angles. Referring to Wigner, an experiment can provide more insight. In the experiment a weak intensity, small wavelength source can be employed. When the contradictory phase angle is excluded, a nonzero diffraction amplitude appears physically possible. If it is included, this amplitude vanishes.
