量子相对论:物理定律在量子系统上必须是不变的
Quantum Relativity: Physical Laws Must be Invariant Over Quantum Systems
摘要:
退相干可能无法解决量子力学的所有测量问题。有人提出,这些问题的解决方案可能是允许叠加描述物理上真实的系统在以下意义上。每个量子系统都“携带”着一个定域时空,在这个定域时空中,其他量子系统可以呈现非定域状态。每个量子系统都形成了一个物理上有效的坐标系。物理定律应该被表述为在这些框架之间的允许变换组下是不变的。本文提出了一种相对叠加的空间坐标变换,它使电子系统在描述双缝实验室系统时保持德布罗意关系,类似于闵可夫斯基变换。一般来说,“量子相对论”说的是在量子参考系之间的变换下不变。并对这对引力和规范不变性的影响作了一些说明。
英文摘要:
Decoherence may not solve all of the measurement problems of quantum mechanics. It is proposed that a solution to these problems may be to allow that superpositions describe physically real systems in the following sense. Each quantum system "carries" around a local spacetime in whose terms other quantum systems may take on nonlocal states. Each quantum system forms a physically valid coordinate frame. The laws of physics should be formulated to be invariant under the group of allowed transformations among such frames. A transformation of relatively superposed spatial coordinates that allows an electron system to preserve the de Broglie Relation in describing a double-slit laboratory system-in analogy to a Minkowskian Transformation-is proposed. In general, "quantum relativity" says is invariant under transformations among quantum reference frames. Some conjectures on how this impacts gravity and gauge invariance are made.
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