现代时空与不可判定性
Modern space-time and undecidability
摘要：
闵可夫斯基在1907年创造的时空图景之后，物理学领域出现了两个未包含在原始图景中的重要发展：广义相对论和量子力学。我们将论证，使用这些理论的概念来构造时空意味着量子力学中概念的修改。特别是，人们可以在没有还原过程的情况下构建一个可行的量子力学图像，其结果相当于一个具有还原过程的图像。因此，人们有两种理论，它们在实验上完全等价，但在对实在的描述上却有着深刻的不同。这在物理学中引入了一种以前从未出现过的基本不可判定性。我们讨论了其中的一些含义。
英文摘要：
The picture of space-time that Minkowski created in 1907 has been followed by two important developments in physics not contained in the original picture: general relativity and quantum mechanics. We will argue that the use of concepts of those theories to construct space-time implies conceptual modifications in quantum mechanics. In particular one can construct a viable picture of quantum mechanics without a reduction process that has outcomes equivalent to a picture with a reduction process. One therefore has two theories that are entirely equivalent experimentally but profoundly different in the description of reality they give. This introduces a fundamental level of undecidability in physics of a kind that has not been present before. We discuss some of the implications.
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