We study the properties of fundamental physical constants using the threefold classification of dimensional constants proposed by J.-M. Lévy-Leblond: constants of objects (masses, etc.), constants of phenomena (coupling constants), and “universal constants” (such as c and ℏ). 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, ℏ, and a length parameter and discuss its origins and the connection to the possible kinematic groups discovered by Lévy-Leblond and Bacry. Finally, we give some comments about the interpretation of these constants.

中文翻译：

---

任意维度的时空中的单位的通用常数和自然系统

我们使用J.-M提出的尺寸常数的三重分类研究基本物理常数的性质。Lévy-Leblond：对象的常数（质量等），现象的常数（耦合常数）和“通用常数”（例如c和ℏ）。我们表明，所有已知的“自然”单位系统都包含至少一个非通用常数。我们讨论了这种非通用性的可能后果，例如，其中某些系统对空间维数的依赖性。在寻找“完全通用”的单位制时，我们提出了一组由c，ℏ组成的常数。以及长度参数，并讨论其起源以及与Lévy-Leblond和Bacry发现的可能的运动学组的联系。最后，我们对这些常量的解释给出一些评论。