To explain the discrepancy between the local and the global estimates of the Universe expansion rate, H ₀, becomes one of the most challenging problems in contemporary cosmology. Underestimated systematic errors as well as new physics beyond the standard ΛCDM model, has been invoked to solve, or at least alleviate, this problem. In this paper we show that we can conciliate the local measurement of the Hubble constant with its global estimate in a very simple way without making any of these assumptions. This is achieved if we deal with the decoupling redshift, , as a free parameter. By noting that the dependence of the cosmic microwave background (CMB) observables on H ₀ comes from the decoupling redshift we show that, by incorporating a missing parameter, the electron fraction , to the functional form, local and global estimates of H ₀ agree with each other perfectly. The effect of introducing is the same that treat as free parameter which should be fitted along with the model parameters. The CMB data and the local estimates of H ₀ are reconciled if , a value higher than the value obtained from the usual calculations.

为了解释宇宙膨胀率H ₀的局部和全局估计之间的差异，成为当代宇宙学中最具挑战性的问题之一。被低估的系统误差以及超出标准 ΛCDM 模型的新物理学已被用来解决或至少减轻这个问题。在本文中，我们表明我们可以以一种非常简单的方式将哈勃常数的局部测量与其全局估计相协调，而无需做出任何这些假设。如果我们将解耦红移作为自由参数处理，则可以实现这一点。通过注意到宇宙微波背景 (CMB) 可观测值对H ₀的依赖性来自去耦红移 我们表明，通过将缺失的参数电子分数加入函数形式，H _{0 的}局部和全局估计彼此完全一致。引入的效果是相同的这种食品作为应该与模型参数一起被装配自由参数。CMB 数据和H ₀的局部估计值一致，如果，该值高于从通常计算中获得的值。