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MiTopos
Advances in Applied Clifford Algebras ( IF 1.1 ) Pub Date : 2024-12-19 , DOI: 10.1007/s00006-024-01362-7
Bernd Schmeikal

In the present article, the research work of many years is summarized in an interim report. This concerns the connection between logic, space, time and matter. The author always had in mind two things, namely 1. The discovery/construction of an interface between matter and mind, and 2. some entry points for the topos view that concern graphs, grade rotations and contravariant involutions in geometric Boolean lattices. In this part of the MiTopos theme I follow the historic approach to mathematical physics and remain with the Clifford algebra of the Minkowski space. It turns out that this interface is a basic morphogenetic structure inherent in both matter and thought. It resides in both oriented spaces and logic, and most surprisingly is closely linked to the symmetries of elementary particle physics.



中文翻译:

 米托波斯


本文将多年的研究工作总结为中期报告。这涉及逻辑、空间、时间和物质之间的联系。作者始终牢记两件事,即 1.发现/构建物质和心灵之间的界面,以及 2.Topos 视图的一些入口点,涉及几何布尔格中的图形、等级旋转和逆变内卷。在 MiTopos 主题的这一部分,我遵循数学物理学的历史方法,并继续使用 Minkowski 空间的 Clifford 代数。事实证明,这个界面是物质和思想中固有的基本形态发生结构。它既存在于定向空间又存在于逻辑中,最令人惊讶的是它与基本粒子物理学的对称性密切相关。

更新日期:2024-12-19
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