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arXiv 2407.05500gr-qc
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重新审视光在(环)量子宇宙中的传播

Revisiting light propagation over (loop) quantum Universe

Faculty of Mathematics and Computer Science, Transilvania University(特兰西瓦尼亚大学数学与计算机科学学院);University of Wrocław, Faculty of Physics and Astronomy, Institute of Theoretical Physics(弗罗茨瓦夫大学物理与天文学学院理论物理研究所)

Aliasghar Parvizi, Tomasz Pawłowski

AI总结:

研究电磁波在量子宇宙学背景下的传播,基于时空量子化对称约化方法构建准现象学框架,采用解析和数值方法研究波动动力学,证实低能与广义相对论一致,揭示高能量子几何修正,表明圈量子效应有抑制作用。

摘要:

我们研究电磁波在量子宇宙学背景下的传播,旨在通过场动力学的修改揭示量子引力的潜在特征。基于时空量子化的对称约化方法,特别是圈量子宇宙学和几何动力学,并扩展相互作用场的玻恩-奥本海默近似,构建了一个能够探测所有能量范围的准现象学框架。与以往局限于低能极限的半经典处理不同,我们的分析采用解析和数值方法研究平坦量子弗里德曼-勒梅特-罗伯逊-沃克宇宙中的波动动力学。结果证实了在低能下与广义相对论的一致性,揭示了高能下的量子几何修正,并表明圈量子效应相对于基于几何动力学的量子化所预测的修正有抑制作用。

英文摘要:

We investigate the propagation of electromagnetic waves over a quantum cosmological background, aiming to uncover potential signatures of quantum gravity through modifications to the dynamics of the field. Building on symmetry-reduced approaches to spacetime quantization, specifically loop quantum cosmology and geometrodynamics, and extending the Born-Oppenheimer approximation for interacting fields, we construct a quasi-phenomenological framework capable of probing all energy regimes. Unlike previous semi-classical treatments confined to low-energy limits, our analysis employs both analytical and numerical methods to study wave dynamics in a flat quantum Friedmann-Lemaitre-Robertson-Walker Universe. Our results confirm consistency with general relativity at low energies, reveal quantum geometric corrections at higher energies, and demonstrate that loop quantum effects suppress modifications relative to those predicted by geometrodynamics-based quantization.

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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