Kavli Affiliate: Stephan Meyer
| Summary:
Anisotropy of space-time is measured on the scale of the cosmic horizon, using the angular correlation function $C(Θ)$ of cosmic microwave background (CMB) temperature at large angular separation $Θ$. Even-parity correlation $C_rm even(Θ)$ 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 WMAP and Planck, $C_rm even(Θ)$ at $Θsimeq 90^circpm 15^circ$ 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 quantum theory of initial conditions, but is broadly consistent with other cosmological measurements, and is subject to further tests.
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