Noncommutative geometry
Noncommutative geometry
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DOI：
10.1007/978-1-4613-0729-7_3
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
A. Connes
中科院分区：
文献类型：
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作者：
A. Connes
由于纯数学的原因，有必要考虑不能用点集表示的空间，以及描述空间的坐标不对易的空间。换句话说，就是用不对易的坐标代数描述的空间。如果考虑这样的空间，就有必要重新考虑经典几何的大多数概念，并重新定义它们。从纯数学的角度出发，我们发现量子物理学和量子物理学有着惊人的相似之处，在接下来的讲座中，我希望讨论其中的一些相似之处。
For purely mathematical reasons it is necessary to consider spaces which cannot be represented as point set sand where the coordinates describing the space do not commute.In other words,spaces which are described by algebras of coordinates which arenot commutative.If you conside rsuch spaces,then it is necessary to rethink most of the notions of classical geometry and redefine them. Motivated from pure mathematics it turns out that there are very striking parallels to what is done in quantum physics In the following lectures, I hope to discuss some of these parallels.