http://arxiv.org/abs/2110.00120
We examine all-sky cosmic microwave background (CMB) temperature maps on large angular scales to test consistency with a hypothesized cosmological symmetry: a universal variance of primordial curvature perturbations on great circles. This symmetry is not a property of standard quantum inflation, but may be a natural hypothesis in a holographic model with causal quantum coherence on null surfaces. If this symmetry is assumed for primordial curvature perturbations, the amplitude and direction of the unobserved intrinsic dipole (that is, the unobserved $\ell=1$ harmonics) can be inferred from measured $\ell = 2, 3$ harmonics by minimizing the variance of great-circle variances. It is shown that universality of great-circle variance requires unusual patterns, such as a previously noted anomalously high sectorality of the $\ell = 3$ components, and a close alignment of principal axes of $\ell=2$ and $\ell = 3$ components. Simulations are used to show that in standard quantum inflation, only a small fraction of realizations combine dipole, quadrupole and octopole harmonics with great-circle variances as uniform as the inferred real sky. It is found that adding the intrinsic dipole leads to a nearly-null angular correlation function over the range $\Theta = [90^\circ, 135^\circ]$, in agreement with a null anti-hemispherical symmetry independently motivated by holographic causal arguments, but highly anomalous in standard cosmology. The precision of these results appears to be primarily limited by errors introduced by models of Galactic foregrounds.
N. Selub, F. Wehlen, C. Hogan, et. al.
Mon, 4 Oct 21
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