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由虫洞制备的量子态:与Bunch-Davies的长波长偏差

Quantum States Prepared by Wormholes: Long-Wavelength Deviations from Bunch-Davies

George Lavrelashvili, Jean-Luc Lehners

arXiv 2607.12772首次发表:更新:

AI 中文总结

研究由酒杯状虫洞制备的量子态,其短波长模式重现Bunch-Davies真空,大尺度有偏差,偏差取决于虫洞电荷,会影响角功率谱,小电荷极限抑制偏差,显示拓扑转变平滑。

AI 中文摘要

酒杯状虫洞介导了从渐近反德西特或平坦时空产生婴儿宇宙的成核过程。新宇宙形成后自然经历一个暴胀阶段。我们研究了这些虫洞几何结构所制备的张量和探测标量场涨落的量子态,发现短波长模式下它们重现了Bunch-Davies真空,但大尺度上与Bunch-Davies有偏差。这些偏差取决于虫洞电荷,会在随后暴胀阶段产生的角功率谱中引起小的偏移和振荡,提供了独特的宇宙学可观测量。虫洞由轴子或磁荷支撑。电荷消失时,它们经历拓扑转变,之后包含无边界瞬子。我们发现小电荷极限抑制了标量和张量涨落与Bunch-Davies态的偏差,表明拓扑转变是平滑的。

英文摘要

Wineglass wormholes mediate the nucleation of baby universes out of an asymptotically Anti-de Sitter or flat spacetime. Upon materialization, the new universe naturally undergoes an inflationary phase. Here we study the quantum state of tensor and probe scalar field fluctuations that these wormhole geometries prepare, finding that they reproduce the Bunch-Davies vacuum for short-wavelength modes but lead to deviations from Bunch-Davies on large scales. These deviations, which depend on the charge of the wormhole, cause a small shift as well as oscillations in the angular power spectrum generated by an ensuing inflationary phase, and thus provide a distinctive cosmological observable. The wormholes are supported by either axionic or magnetic charges. In the limit of vanishing charge, they undergo a topological transition after which they contain no-boundary instantons. We find that the small-charge limit suppresses deviations from the Bunch-Davies state for both scalar and tensor fluctuations, indicating that the topological transition is smooth.

Comments18 pages, 9 figures

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