量子时空的（再）构建：将希尔伯特空间转录到位形空间
(Re)Construction of Quantum Space-Time: Transcribing Hilbert into Configuration Space.
作者信息
Svozil Karl
机构信息
Institute for Theoretical Physics, TU Wien, Wiedner Hauptstrasse 8-10/136, 1040 Vienna, Austria.
出版信息
Entropy (Basel). 2024 Mar 18;26(3):267. doi: 10.3390/e26030267.
Abstract
Space-time in quantum mechanics is about bridging Hilbert and configuration space. Thereby, an entirely new perspective is obtained by replacing the Newtonian space-time theater with the image of a presumably high-dimensional Hilbert space, through which space-time becomes an epiphenomenon construed by internal observers.
摘要
量子力学中的时空关乎连接希尔伯特空间和位形空间。由此，通过用一个推测为高维的希尔伯特空间的图像取代牛顿时空舞台，获得了一个全新的视角，通过这个视角，时空成为由内部观察者构建的一种副现象。
相似文献
1
(Re)Construction of Quantum Space-Time: Transcribing Hilbert into Configuration Space.量子时空的（再）构建：将希尔伯特空间转录到位形空间
Entropy (Basel). 2024 Mar 18;26(3):267. doi: 10.3390/e26030267.
2
Psychological origin of quantum logic: An orthomodular lattice derived from natural-born intelligence without Hilbert space.量子逻辑的心理起源：一个源自天生智慧而无需希尔伯特空间的正交模格。
Biosystems. 2022 Jun;215-216:104649. doi: 10.1016/j.biosystems.2022.104649. Epub 2022 Feb 25.
3
Synthetic Hilbert Space Engineering of Molecular Qudits: Isotopologue Chemistry.分子量子比特的合成希尔伯特空间工程：同位素异构体化学
Adv Mater. 2019 Jun;31(26):e1806687. doi: 10.1002/adma.201806687. Epub 2019 Feb 25.
4
Consistent Treatment of Quantum Systems with a Time-Dependent Hilbert Space.用时变希尔伯特空间对量子系统进行一致性处理。
Entropy (Basel). 2024 Apr 3;26(4):314. doi: 10.3390/e26040314.
5
Time-Dependent Pseudo-Hermitian Hamiltonians and a Hidden Geometric Aspect of Quantum Mechanics.含时伪厄米哈密顿量与量子力学的一个隐藏几何方面
Entropy (Basel). 2020 Apr 20;22(4):471. doi: 10.3390/e22040471.
6
Metric field as emergence of Hilbert space.度规场作为希尔伯特空间的涌现。
Sci Rep. 2025 Feb 6;15(1):4521. doi: 10.1038/s41598-024-82851-4.
7
Quantum Gravity If Non-Locality Is Fundamental.如果非局域性是基本的，那么量子引力
Entropy (Basel). 2022 Apr 15;24(4):554. doi: 10.3390/e24040554.
8
Scale relativity theory and integrative systems biology: 2. Macroscopic quantum-type mechanics.尺度相对论理论与整合系统生物学：2. 宏观量子型力学。
Prog Biophys Mol Biol. 2008 May;97(1):115-57. doi: 10.1016/j.pbiomolbio.2007.09.001. Epub 2007 Oct 2.
9
Memory Effects in High-Dimensional Systems Faithfully Identified by Hilbert-Schmidt Speed-Based Witness.基于希尔伯特-施密特速度的见证量准确识别高维系统中的记忆效应。
Entropy (Basel). 2022 Mar 12;24(3):395. doi: 10.3390/e24030395.
10
Hilbert space renormalization for the many-electron problem.用于多电子问题的希尔伯特空间重整化
J Chem Phys. 2016 Feb 28;144(8):084103. doi: 10.1063/1.4942174.
本文引用的文献
1
On the Complete Description of Entangled Systems Part II: The (Meta)Physical Status and Semantic Aspects.关于纠缠系统的完整描述 第二部分：（元）物理状态与语义方面
Entropy (Basel). 2022 Nov 25;24(12):1724. doi: 10.3390/e24121724.
2
Entanglement swapping between photons that have never coexisted.光子之间从未共存过的纠缠交换。
Phys Rev Lett. 2013 May 24;110(21):210403. doi: 10.1103/PhysRevLett.110.210403. Epub 2013 May 22.
3
Quantum erasure with causally disconnected choice.量子擦除与因果上断开的选择。
Proc Natl Acad Sci U S A. 2013 Jan 22;110(4):1221-6. doi: 10.1073/pnas.1213201110. Epub 2013 Jan 3.
4
The message of the quantum.量子的信息。
Nature. 2005 Dec 8;438(7069):743. doi: 10.1038/438743a.
5
Generalizing Tsirelson's bound on Bell inequalities using a min-max principle.利用极小极大原理推广关于贝尔不等式的齐雷尔森界。
Phys Rev Lett. 2004 Sep 24;93(13):130407. doi: 10.1103/PhysRevLett.93.130407. Epub 2004 Sep 23.
6
"Event-ready-detectors" Bell experiment via entanglement swapping.通过纠缠交换实现的“事件就绪探测器”贝尔实验。
Phys Rev Lett. 1993 Dec 27;71(26):4287-4290. doi: 10.1103/PhysRevLett.71.4287.
7
Measuring the dimension of space time.测量时空维度。
Phys Rev Lett. 1985 Jun 17;54(24):2553-2555. doi: 10.1103/PhysRevLett.54.2553.
8
Mixed-state entanglement and quantum error correction.混合态纠缠与量子纠错。
Phys Rev A. 1996 Nov;54(5):3824-3851. doi: 10.1103/physreva.54.3824.
Zotero 插件