20世纪后期物理学中的外尔几何
Weyl geometry in late 20th century physics
摘要:
魏尔在1918年提出的原始尺度几何(“纯粹的无穷小几何”)在20世纪20年代初从物理理论中退出。它在20世纪后30年的不同背景下卷土重来:引力的标量张量理论,物理学基础(引力,量子力学),基本粒子物理学和宇宙学。在这里,我们调查了最后两个部分。看来外尔几何继续有一个开放的研究潜力的基础物理学后,世纪之交。
英文摘要:
Weyl's original scale geometry of 1918 ("purely infinitesimal geometry") was withdrawn from physical theory in the early 1920s. It had a comeback in the last third of the 20th century in different contexts: scalar tensor theories of gravity, foundations of physics (gravity, quantum mechanics), elementary particle physics, and cosmology. Here we survey the last two segments. It seems that Weyl geometry continues to have an open research potential for the foundations of physics after the turn of the century.
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