标题： 阿尔法组张量度量 显示英文标题

标题： The Alpha Group Tensorial Metric

摘要： Alpha 组是$\mathbb{R}^4$中的一个抽象几何群。 它的构思方式允许对超复空间结构的新解释，具有新的几何和空间拓扑，并且对$\mathbb{R}^4$空间的几何表示到无穷大有重要意义。 因此，它被描述为 Alpha 组中的张量度量公式。 将证明黎曼和欧几里得的微小曲面之间的距离度量作为 Alpha 组度量的特例。 显示英文摘要

摘要： The Alpha Group is an abstract geometry group in $\mathbb{R}^4$. The way it was conceived allows a new interpretation of the structure of hypercomplex space, with a new geometry and spatial topology, and a meaning for the geometric representation of $\mathbb{R}^4$ space to infinity. Therefore, it has been described as the tensorial metric formula in the Alpha Group. It will be shown that the Riemannian and Euclidean distance metrics between infinitesimal surfaces are represented as special cases of the metric of the Alpha Group.