A-相对论：基于结构层的广义引力理论
A-Relativity: A General Theory of Gravity from Structure Sheaf
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中文总结 AI 辅助
本文介绍马利奥斯的抽象微分几何理论，总结其在构建独立于背景几何的真空爱因斯坦引力理论中的成果，还包含未发表的新构造与结果，面向多领域读者传播相关理论。
中文摘要 AI 辅助
本文旨在向更广泛的数学家、数学物理学家及数学与物理哲学家介绍并传播马利奥斯（Mallios）抽象微分几何的基本理论原则，包括概念与技术层面，同时呈现并总结该理论在过去四分之一世纪应用中的主要成果，以构建一种完全同调代数、纯规范理论、有限论、量子论且明显独立于背景几何光滑时空流形的真空爱因斯坦引力理论。本文还包含此前未发表的新构造与结果。
英文摘要
The aim of this paper is to introduce and disseminate to a wider readership of mathematicians, mathematical physicists and philosophers of mathematics and physics alike the basic theoretical, both conceptual and technical, tenets of Mallios's Abstract Differential Geometry, as well as to present and to summarise the main results from its applications in the last quarter of a century towards formulating an entirely homological algebraic, purely gauge-theoretic, finitistic, quantal and manifestly background geometrical smooth spacetime manifold independent vacuum Einstein gravity. New, previously unpublished, constructions and results are included in the paper.
