Nearly-zero large-angle anisotropy of the cosmic microwave background

Kavli Affiliate: Craig Hogan

| First 5 Authors: Craig Hogan, Ohkyung Kwon, Stephan S. Meyer, Nathaniel Selub, Frederick Wehlen

| Summary:

Anisotropy of space-time is measured on the scale of the cosmic horizon,
using the angular correlation function $C(Theta)$ of cosmic microwave
background (CMB) temperature at large angular separation $Theta$. Even-parity
correlation $C_{rm even}(Theta)$ is introduced to obtain a direct, precise
measure of horizon-scale curvature anisotropy independent of the unknown
dipole, with uncertainty dominated by models of Galactic emission. In maps from
{sl WMAP} and {sl Planck}, $C_{rm even}(Theta)$ at $Thetasimeq
90^circpm 15^circ$ is found to be much closer to zero than in previously
documented measurements. Variation from zero as small as that in the {sl
Planck} maps is estimated to occur by chance in a fraction $simeq 10^{-4.3}$
to $simeq 10^{-2.8}$ of standard realizations. Measurements are found to be
consistent with zero correlation in a range of angles expected from quantum
fluctuations during inflation whose spacelike coherence is bounded by
inflationary horizons around every location at every epoch. This
scale-invariant symmetry of cosmological initial conditions is incompatible
with the standard theory of initial conditions, but is broadly consistent with
other cosmological measurements, and is subject to further tests.

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