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The authors provide a thorough study of a popular scenario (early dark energy EDE) to alleviate the tension in the measurements of the Hubble constant H₀, which either rely on early Universe probes and the cosmological standard model (CDM) or on late Universe probes through direct, local distant measurements. The authors show that the inclusion of numerous large-scale structure data is in conflict with the parameter space that lifts the H₀ tension and severely limits the existence of EDE and, thus, makes it very unlikely to resolve the tension.
Hill et al. (Wed,) studied this question.
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