高红移致密天体丰度中对数周期性调制的证据，与超流体凝聚坍缩一致
Evidence for Log-Periodic Modulation in the Redshift Distribution of High-Redshift Compact Sources
AI总结：
研究发现高红移致密天体丰度中存在对数周期性调制，与BEC凝聚坍缩理论一致。
摘要：
我们分析了早期JWST数据中识别出的高红移星系和活动星系核的红移分布，并研究了变量x=ln(1+z)中是否存在周期性结构。基线校正的非分组频率分析揭示出一个统计显著的峰值，对应于间距Δx≈0.34，表明红移分布中存在近似对数周期性模式。x中的周期性结构意味着(1+z)中存在首选的缩放比，这可能被解释为离散尺度不变性的实现。我们讨论了这种行为可能源于玻色-爱因斯坦凝聚（BEC）宇宙学中的循环凝聚动力学的可能性。在 Fukuyama-Morikawa-Tatekawa 框架下，自相互作用凝聚体在数百万年内重复坍缩和再形成事件。当映射到红移空间时，这种时间周期性自然地转化为ln(1+z)中近似恒定的间距。虽然观测到的频率不被解释为理论预测的尖锐结果，但其幅度在数量上与QCD-轴子激发的凝聚动力学的内在周期时间尺度一致。因此，本分析为循环BEC宇宙学作为高红移宇宙中对数周期性结构的动力学起源提供了观测支持。
英文摘要：
We investigate whether the redshift distribution of high-redshift compact sources identified in early James Webb Space Telescope (JWST) observations contains a statistically coherent periodic component in the logarithmic redshift variable $x=\ln(1+z)$. Using a publicly available catalog of 341 sources, we perform an unbinned frequency analysis in which the smooth redshift dependence is removed using a baseline probability distribution. The resulting baseline-corrected power spectrum exhibits a prominent feature at $ω_{\rm peak}=18.33$, corresponding to a logarithmic spacing $Δx\simeq0.34$, or a multiplicative spacing of approximately 1.41 in $1+z$. Monte Carlo realizations of the smooth null model give a local tail probability $p_{\rm local}\simeq2.8\times10^{-3}$. Accounting for the frequency scan over the theoretically motivated interval $16\leqω\leq21$ gives a global false-alarm probability $p_{\rm global}\simeq7.6\times10^{-3}$. Cross-validation, repeated train/test holdout analyses, and field-dependent tests are used to examine the robustness of the feature against statistical fluctuations and sample heterogeneity. The statistical analysis is independent of the physical nature of the individual compact sources. If confirmed with larger and more homogeneous samples, an approximately constant spacing in $\ln(1+z)$ would indicate a preferred multiplicative scale in the high-redshift source distribution. Recurrent cosmological condensate dynamics provide one possible physical interpretation, but the statistical result itself does not depend on this mechanism.
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