论文标题
可以根据亮度之间的相关性确定距离红移关系吗?
Can the Distance-Redshift Relation Be Determined from Correlations Between Luminosities?
论文作者
论文摘要
我们探讨了是否可以从两种不同的波段亮度或通量之间的明显相关性获得距离红移关系的独立确定,因此可以从X射线和紫外线的尺度和Quasars的通量中获得宇宙学模型参数。我们表明,只有在独立于宇宙学模型以及测量的通量和红移之间获得亮度之间的相关性,才有可能进行独立的确定。例如,基于声音理论模型或无关的观察。特别是,我们表明,如果相关性是根据从通量和红移获得的两个亮度从经验上确定的,则该方法将遭受循环度。如果在最近的作品中所说,在非常狭窄的红移箱中的通量之间观察到的相关性被用作亮度相关性的代理,那么我们表明,一个人正在处理纯正的重言术,而没有有关距离和宇宙学模型的信息。我们认为,由于对相关性的处理不完全处理,因此出现了问题,并且我们使用连接X射线和紫外线数据集的数值方法来证明这一缺点。
We explore whether an independent determination of the distance-redshift relation, and hence cosmological model parameters, can be obtained from the apparent correlations between two different waveband luminosities or fluxes, as has been claimed in recent works using the X-ray and ultraviolet luminosities and fluxes of quasars. We show that such an independent determination is possible only if the correlation between luminosities is obtained independent of the cosmological model, and measured fluxes and redshifts; for example, being based on sound theoretical models or unrelated observations. In particular, we show that if the correlation is determined empirically from two luminosities obtained from fluxes and redshifts, then the method suffers from circularity. In case, as claimed in recent works, the observed correlation between fluxes in very narrow redshift bins are used as proxy for the luminosity correlation, then we show that one is dealing with a pure tautology with no information on distances and cosmological model. We argue that the problem arises because of the incomplete treatment of the correlation and we use numerical methods with a joint X-ray and ultraviolet quasar data set to demonstrate this shortcoming.