3D空间与首选基不能唯一地从量子结构中涌现
3D-Space and the preferred basis cannot uniquely emerge from the quantum structure
AI总结：
本文证明仅从量子态向量和Hamiltonian无法唯一涌现出3D空间等物理相关结构，并指出HSF理论会导致时间被动旅行等奇异效应，从而影响所有遵循该基础主义的量子理论。
摘要：
Hilbert-Space Fundamentalism (HSF)（希尔伯特空间基础主义）指出，唯一的基本结构是量子态向量和Hamiltonian（哈密顿量），其他一切事物都从它们中唯一地涌现，包括3D空间、首选基和Hilbert空间的首选因式分解。本文表明，每当这种结构仅从Hamiltonian和态向量中涌现时，如果它具有物理相关性，它就不是唯一的。此外，HSF会导致诸如在时间和替代现实中进行“被动”旅行的奇异效应，这些效应仅通过Hilbert空间的被动变换即可实现。本文的结果影响所有遵循HSF的理论，无论它们假设分支还是态向量约化（特别是Carroll和Singh所命名的Everett解释版本“Mad-dog Everettianism”），基于退相干的各种提议，旨在仅用量子结构描述一切的提议，以及认为时空从纯量子引力理论中涌现的提议。
英文摘要：
Hilbert-Space Fundamentalism (HSF) states that the only fundamental structures are the quantum state vector and the Hamiltonian, and from them everything else emerge uniquely, including the 3D-space, a preferred basis, and a preferred factorization of the Hilbert space. In this article it is shown that whenever such a structure emerges from the Hamiltonian and the state vector alone, if it is physically relevant, it is not unique. Moreover, HSF leads to strange effects like "passive" travel in time and in alternative realities, realized simply by passive transformations of the Hilbert space. The results from this article affect all theories that adhere to HSF, whether they assume branching or state vector reduction (in particular the version of Everett's Interpretation coined by Carroll and Singh "Mad-dog Everettianism"), various proposals based on decoherence, proposals that aim to describe everything by the quantum structure alone, and proposals that spacetime emerges from a purely quantum theory of gravity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
