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Acoustic peaks in the Cosmic Microwave Background (CMB) temperature spectrumas observed by the Planck satellite appear to be smoother than our expectationfrom the standard model lensing effect. This anomalous effect can be alsomimicked by a spatially closed Universe with a very low value of Hubbleconstant that consequently aggravates the already existing discordance betweencosmological observations. We reconstruct a signature from the early Universe,a particular form of oscillation in the primordial spectrum of quantumfluctuations with a characteristic frequency, that solves all these anomalies.Interestingly, we find this form of the primordial spectrum resolves orsubstantially subsides, various tensions in the standard model of cosmology infitting different observations, namely Planck CMB, clustering and weak lensingshear measurements from several large scale structure surveys, localmeasurements of Hubble constant, and recently estimated age of the Universefrom globular clusters. We support our findings phenomenologically, byproposing an analytical form of the primordial spectrum with similar featuresand demonstrate that it agrees remarkably well with various combinations ofcosmological observations. We support further our findings theoretically, byintroducing a single scalar field potential for inflation that can generatesuch a form of the primordial spectrum.

One spectrum to cure them all: Signature from early Universe solves major anomalies and tensions in cosmology