## Abstract

Aims. The lack of large-angle correlations in the fluctuations of the cosmic microwave background (CMB) conflicts with predictions of slow-roll inflation. But though probabilities (≤ 0.24%) for the missing correlations disfavor the conventional picture at & 3σ, factors not associated with the model itself may be contributing to the tension. Here we aim to show that the absence of large-angle correlations is best explained with the introduction of a non-zero minimum wavenumber k_{min}for the fluctuation power spectrum P(k). Methods. We assume that quantum fluctuations were generated in the early Universe with a well-defined power spectrum P(k), though with a cutoff k_{min}≠ 0. We then re-calculate the angular correlation function of the CMB and compare it with Planck observations. Results. The Planck 2013 data rule out a zero k_{min}at a confidence level exceeding 8σ. Whereas purely slow-roll inflation would have stretched all fluctuations beyond the horizon, producing a P(k) with k_{min}= 0-and therefore strong correlations at all angles-a k_{min}≠ 0 would signal the presence of a maximum wavelength at the time (t_{dec}) of decoupling. This argues against the basic inflationary paradigm-perhaps even suggesting non-inflationary alternatives-for the origin and growth of perturbations in the early Universe. In at least one competing cosmology, the Rh = ct universe, the inferred k_{min}corresponds to the gravitational radius at t_{dec}.

Original language | English (US) |
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Journal | Unknown Journal |

State | Published - Dec 21 2017 |

## Keywords

- Cosmic background radiation
- Cosmology: theory
- Early universe
- Inflation
- Large-scale structure

## ASJC Scopus subject areas

- General