Quantum space-times in the year 2002
Quantum space-times in the year 2002
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2002年的量子时空
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
A. P. Balachandran
中科院分区：
文献类型：
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作者：
A. P. Balachandran
我们回顾了非交换几何中关于时空本质的某些新兴概念及其根本含义。这些时空观念是从模糊物理学、弦理论和形变量子化的发展中提出的。这篇评论的重点是来自模糊物理学的想法。我们发现了像模糊 S4 这样的量子时空模型，其状态无法局域化，但会波动到其他流形，如 CP3。关于量子时空缺乏定域性的新不确定性原理被制定。这些研究显示了制定和回答问题的可能性，例如在局域于另一个状态的量子流形中找到一个点的概率。这些发展表明的其他引人注目的可能性是 CPT 定理和传统的自旋统计联系的（一般）失败。他们甚至认为普朗克的“常数”可能不是常数，而是一个不与所有可观测值交换的算子。所有这些新颖的可能性都出现在传统量子物理学的规则内，并且没有重力物理学的认真输入。
We review certain emergent notions on the nature of space-time from noncommutative geometry and their radical implications. These ideas of space-time are suggested from developments in fuzzy physics, string theory, and deformation quantization. The review focuses on the ideas coming from fuzzy physics. We find models of quantum space-time like fuzzy S4 on which states cannot be localized, but which fluctuate into other manifolds like CP3. New uncertainty principles concerning such lack of localizability on quantum space-times are formulated. Such investigations show the possibility of formulating and answering questions like the probability of finding a point of a quantum manifold in a state localized on another one. Additional striking possibilities indicated by these developments is the (generic) failure of CPT theorem and the conventional spin-statistics connection. They even suggest that Planck’s ‘constant’ may not be a constant, but an operator which does not commute with all observables. All these novel possibilities arise within the rules of conventional quantum physics, and with no serious input from gravity physics.