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首页> 外文期刊>Foundations of Physics >On Metric and Matter in Unconnected, Connected, and Metrically Connected Manifolds
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On Metric and Matter in Unconnected, Connected, and Metrically Connected Manifolds

机译：关于未连接，已连接和已度量连接的歧管中的度量和事项

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From Einstein's point of view, his General Relativity Theory had strengths as well as failings. For him, its shortcoming mainly was that it did not unify gravitation and electromagnetism and did not provide solutions to field equations which can be interpreted as particle models with discrete mass and charge spectra, As a consequence, General Relativity did (and does) not solve the quantum problem, either. Einstein tried to get rid of the shortcomings without losing the achievements of General Relativity Theory. Stimulated by papers of Weyl (Sitzungsber. Preuss. Akad. Wiss (1918) 465) and Eddington (Proc. R. Soc. Hond. 99 (1921) 194), from 1923 onward, he believed that, to reach this goal, one has to transit to space–times which possess more comprehensive geometrical structures than the Riemann space–time. This was the beginning of a decade's lasting search for a unitary field theory. We describe this exciting part of the history of physics, discuss achievements and failures of this development, and ask how these early attempts of a unified theory strike us today. Taking into account the fact that the Equivalence Principle only speaks for a geometrization of gravitation, we consider an alternative way to give those non-Riemannian structures which were introduced by the unitary field approach a physical meaning, namely the meaning of a generalized gravitational field. This is interesting since there are arguments in favor of such a generalization of General Relativity Theory, e.g., the problems the latter theory meets with if one tries to quantize it and to unify gravitation with other interactions.
机译：从爱因斯坦的角度来看，他的广义相对论既有优点也有缺点。对他来说，它的主要缺点是它没有统一重力和电磁力，也没有提供场方程的解，场方程可以解释为具有离散质量和电荷谱的粒子模型，因此，广义相对论确实（也没有）解决了量子问题。爱因斯坦试图摆脱缺点，而又不损失广义相对论的成就。从1923年起，受到韦尔（Sitzungsber。Preuss。Akad。Wiss（1918）465）和爱丁顿（Proc。R. Soc。Hond。99（1921）194）的论文的刺激，他相信，要实现这一目标，必须过渡到具有比黎曼时空更全面的几何结构的时空。这是十年来对单一场论的长期探索的开始。我们描述了物理学史上激动人心的部分，讨论了这一发展的成就和失败，并提出了今天统一理论的这些早期尝试是如何影响我们的。考虑到等效原理仅代表重力的几何化这一事实，我们考虑了一种替代方法，以使those场方法引入的非黎曼结构具有物理意义，即广义重力场的意义。这是有意思的，因为有一些论点支持广义相对论的这种概括，例如，如果人们试图量化广义相对论并使之与其他相互作用统一，那么后者就会遇到问题。

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