AI 中文总结
研究通过引入数据驱动的非参数膨胀-增长框架，打破暗区简并，同时重建暗能量EoS和暗区耦合，应用于多种数据未发现非零相互作用或暗能量动力学证据，建立了膨胀-增长一致性检验及区分暗能量动力学的模型无关途径。
AI 中文摘要
暗能量状态方程（EoS）和可能的暗区相互作用在背景膨胀水平上是简并的：相同的膨胀历史可解释为随时间变化的暗能量、与暗物质的能量交换或两者的混合。我们引入了一个数据驱动的非参数膨胀-增长框架，通过同时重建暗能量EoS和暗区耦合来打破这种简并。让相互作用物质密度自由演化，将耦合纳入线性物质微扰方程，用高斯过程重建膨胀和增长历史，超参数在贝叶斯处理中边缘化。将此方法应用于Pantheon+、宇宙计时器、包括DESI DR2的BAO测量和红移空间畸变数据，推断出\(w_{\rm de}(z)\)和\(0\lesssim z\lesssim 2\)范围内的相互作用历史，未假设参数化EoS或规定的相互作用形式。未发现非零相互作用或暗能量动力学的统计显著证据：重建的耦合和暗能量EoS与\(\Lambda\)CDM极限一致。结果建立了耦合暗区物理的膨胀-增长一致性检验，并提供了一条区分真正暗能量动力学与有效暗区能量交换的与模型无关的途径。
英文摘要
The dark energy equation of state (EoS) and a possible dark-sector interaction are degenerate at the level of background expansion: the same expansion history may be interpreted as time-varying dark energy, energy exchange with dark matter, or a mixture of both. We introduce a data-driven, nonparametric expansion--growth framework that breaks this degeneracy by simultaneously reconstructing the dark energy EoS and the dark-sector coupling. Allowing the interacting matter density to evolve freely, we incorporate the coupling into the linear matter perturbation equation and reconstruct the expansion and growth histories using Gaussian processes, with hyperparameters marginalized in a Bayesian treatment. Applying this method to Pantheon+, cosmic chronometers, BAO measurements including DESI DR2, and redshift-space-distortion data, we infer both $w_{\rm de}(z)$ and the interaction history over $0\lesssim z\lesssim 2$, without assuming either a parametric EoS or a prescribed interaction form. We find no statistically significant evidence for either a nonzero interaction or dark energy dynamics: the reconstructed coupling and dark energy EoS remain consistent with the $Λ$CDM limit. Our results establish an expansion--growth consistency test for coupled dark-sector physics and provide a model-independent route to distinguish genuine dark energy dynamics from effective dark-sector energy exchange.
Comments8 pages + 14 pages, 9 figures, comments welcome
