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arXiv 2602.05973astro-ph.COgr-qchep-phhep-thquant-ph
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宇宙学是否需要量子力学中的厄米特性?

Does Cosmology require Hermiticity in Quantum Mechanics?

Vanderbilt University(范德堡大学)

Oem Trivedi, Alfredo Gurrola

AI总结:

本文探讨了在量子宇宙学中允许非厄米结构的后果,通过扩展惠勒-德威特框架,展示了反厄米贡献如何在早期宇宙原始涨落和晚期结构增长中作为有效阻尼或增益项传播,并通过膨胀观测、结构增长和宇宙平坦性得出强红外约束,抑制非厄米特性。

摘要:

我们探讨了在量子宇宙学中允许非厄米结构的后果,通过扩展惠勒-德威特框架,展示了反厄米贡献如何在早期宇宙原始涨落和晚期结构增长中作为有效阻尼或增益项传播,并通过膨胀观测、结构增长和宇宙平坦性得出强红外约束,抑制非厄米特性。

英文摘要:

We explore the consequences of allowing non-Hermitian structures in quantum cosmology by extending the Wheeler DeWitt framework beyond strictly Hermitian dynamics. Using a controlled semiclassical reduction, we show how anti Hermitian contributions propagate into both early universe primordial fluctuations and late-time structure growth as effective damping or gain terms. Confronting this framework with inflationary observables, growth of structure and the observed near flatness of the universe, we derive strong infrared constraints that suppress non Hermiticity across cosmic history. We demonstrate that these bounds are mutually consistent between early and late-time probes and can be partially relaxed in theories beyond General Relativity. Our results establish cosmology as a novel arena for testing foundational aspects of quantum mechanics and suggest that Hermiticity may emerge dynamically along the semiclassical branch describing our universe.

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。

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