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On a Microscopic Representation of Space-Time III

机译:关于时空III的微观表示

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Using the Dirac (Clifford) algebra as initial stage of our discussion, we summarize previous work with respect to the isomorphic 15 dimensional Lie algebra su*(4) as complex embedding of sl(2,H), the relation to the compact group SU(4) as well as subgroups and group chains. The main subject, however, is to relate these technical procedures to the geometrical (and physical) background which we see in projective and especially in line geometry of R3. This line geometrical description, however, leads to applications and identifications of line Complexe and the discussion of technicalities versus identifications of classical line geometrical concepts, Dirac's square root of p2', the discussion of dynamics and the association of physical concepts like electromagnetism and relativity. We outline a generalizable framework and concept, and we close with a short summary and outlook.
机译:使用DIDAC(CLIFFORD)代数作为我们讨论的初始阶段,我们总结了与INSOMORPRIC 15维层代数素*(4)的工作总结为SL(2,H)的复杂嵌入,与紧凑型苏相对 (4)以及子组和组链。 然而,主要的主题是将这些技术程序与我们在投影中看到的几何(和物理)背景相关联,尤其是R3的线几何形状。 然而,该线几何描述导致了线路复合物的应用和识别,以及对古典线几何概念的技术性与标识的讨论,P2'的DIRAC的平方根,动态和物理概念的讨论等电磁和相对性。 我们概述了一个更广泛的框架和概念,我们与简短的摘要和前景关闭。

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