标题： 寻找“引力体”理论 显示英文标题

标题： Search for a "Gravitoid" Theory

摘要： 通过结合引力子和拟阵的概念，我们概述了一种新的引力理论，我们称之为引力拟阵理论。 该理论的想法源于尝试将拟阵理论的数学结构与M理论联系起来。 我们的观察结果基本上是基于MacPherson和Anderson-Davis提出的拟阵丛的表述。 此外，通过考虑定向拟阵理论，我们对Fano拟阵与D=11超引力之间的联系提出了新的观察结果，这在我们最近的一些论文中有所讨论。 特别是，我们发现仿射拟阵AG(3,2)与D=11超引力的$G_ {2}-$对称性之间存在联系。 显示英文摘要

摘要： By combining the concepts of graviton and matroid, we outline a new gravitational theory which we call gravitoid theory. The idea of this theory emerged as an attempt to link the mathematical structure of matroid theory with M-theory. Our observations are essentially based on the formulation of matroid bundle due to MacPherson and Anderson-Davis. Also, by considering the oriented matroid theory, we add new observations about the link between the Fano matroid and D=11 supergravity which was discussed in some of our recent papers. In particular we find a connection between the affine matroid AG(3,2) and the $G_ {2}-$symmetry of D=11 supergravity.