Anomalies of Cosmic Anisotropy from Holographic Universality of Great-Circle Variance – on September 30, 2021 at 3:21 pm

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.
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