The Shape of Inner Space: String Theory and the Geometry of the Universe's Hidden Dimensions
The Shape of Inner Space: String Theory and the Geometry of the Universe's Hidden Dimensions
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内部空间的形状：弦理论和宇宙隐藏维度的几何形状
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发表时间：
2010
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通讯作者：
J. Erlich
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文献类型：
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作者：
J. Erlich
弦理论数学背后的主要思想讨论了几何学如何解释我们所看到的宇宙如果你被告知我们实际上生活在一个10维的宇宙中--主要的自然理论假设10个中只有4个是我们日常感官可以接触到的？我们如何解释其他6个维度？他们长什么样，他们藏在哪里，如果有的话，他们做什么？在《内部空间的形状》一书中，几何学家和弦理论的领军人物丘成桐解开了人们普遍持有的信念，即这些未被探测到的维度是紧密卷曲在精心制作的扭曲形状中的，称为“卡拉比-丘流形”。丘解释说，这些空间非常小，人类可能永远不会直接看到它们。然而，令人惊讶的是，这个隐藏的领域可能拥有我们对宇宙的一些最深刻问题的答案。在研究他一生的工作时，丘强调了他最重要的发现：证明了流形的数学存在。这一发现对于推进我们对几何学和弦理论的理解，以及更广泛的物理学和宇宙的理解至关重要。有了这些知识，弦理论家可以超越爱因斯坦留给我们的宇宙概念，并可能揭示一些自然界最大的奥秘。一个迷人的探索世界，我们才刚刚开始掌握，内部空间的形状将改变我们对数学，宇宙学的思考方式，以及我们对了解内部宇宙形状的追求。
The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see What if you were told that we actually live in a 10-dimensional universe-- that the leading theory of nature posits only 4 out of 10 are accessible to our everyday senses? How do we account for the other 6 dimensions? What do they look like, where are they hiding, and what, if anything at all, do they do? In The Shape of Inner Space, geometer and leading string theorist Shing- Tung Yau unpacks the widely-held belief that these undetected dimensions are tightly curled in elaborate, twisted shapes called "Calabi-Yau manifolds." Yau explains that these spaces are so miniscule that humans will probably never see any of them directly. Amazingly, however, this hidden realm may hold the answers to some of the most profound questions we have about our universe. In examining his life's work, Yau emphasises his most important finding: proof of the manifold's mathematical existence. This discovery has been critical in advancing our understanding of geometry and string theory, and, more broadly, physics and the universe. With this acquired knowledge, string theorists can go beyond the concept of the universe that Einstein left us with, and possibly expose some of nature's greatest mysteries. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we think about mathematics, cosmology, and our quest to learn the shape of the inner universe.