论文标题
任意维度的时空中的通用常数和自然系统
Universal constants and natural systems of units in a spacetime of arbitrary dimension
论文作者
论文摘要
我们使用J.-M。提出的维数常数的三重分类研究基本物理常数的性质。 l {é} vy-Leblond：对象（群众等）的常数，现象（耦合常数）的常数和“通用常数”（例如$ c $和$ \ hbar $）。我们表明，所有已知的“自然”单元系统至少包含一个非全日常数。我们讨论了这种非大学性的可能后果，例如，其中一些系统对空间维度的数量的依赖性。在搜索“完全通用”单元系统时，我们提出了一组由$ c $，$ \ hbar $和长度参数组成的常数，并讨论了其起源以及与L {é} Vy-Leblond和Bacry发现的可能的运动组的连接。最后，我们对这些常数的解释发表了一些评论。
We study the properties of fundamental physical constants using the threefold classification of dimensional constants proposed by J.-M. L{é}vy-Leblond: constants of objects (masses, etc.), constants of phenomena (coupling constants), and "universal constants" (such as $c$ and $\hbar$). We show that all of the known "natural" systems of units contain at least one non-universal constant. We discuss the possible consequences of such non-universality, e.g., the dependence of some of these systems on the number of spatial dimensions. In the search for a "fully universal" system of units, we propose a set of constants that consists of $c$, $\hbar$, and a length parameter and discuss its origins and the connection to the possible kinematic groups discovered by L{é}vy-Leblond and Bacry. Finally, we give some comments about the interpretation of these constants.
