arXiv 1012.23932010-12-10hep-th

过去和未来的模糊在基本长度尺度

Past and future blurring at fundamental length scale

M. J. Neves, C. Farina, M. V. Cougo-Pinto

备注：: Essentially, this is the version published in the Phys. Rev. Lett. 105, 211601 (2010). It has 4 pages and contains 2 figures
发表信息：: Phys.Rev.Lett.105:211601,2010
DOI：: 10.1103/PhysRevLett.105.211601

摘要：

我们得到的$κ$变形版本的延迟和先进的格林函数，并表明其因果关系的性质是模糊的时间间隔的顺序的长度参数$q=1/(2κ)$。这些函数还指示光锥的拖尾。这些结果有利于把$q$解释为一个基本的长度尺度，在这个尺度之下，时空中的点的概念应该被半径为$q$的模糊区域的概念所取代，正如海森堡很久以前提出的那样。

英文摘要：

We obtain the $κ$-deformed versions of the retarded and advanced Green functions and show that their causality properties are blurred in a time interval of the order of a length parameter $q=1/(2κ)$. The functions also indicate a smearing of the light cone. These results favor the interpretation of $q$ as a fundamental length scale below which the concept of a point in spacetime should be substituted by the concept of a fuzzy region of radius $q$, as proposed long ago by Heisenberg.

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