Confirmation of the Copernican principle through the anisotropic kinetic Sunyaev Zel'dovich effect

Abstract

The Copernican principle remains largely unproven at Gpc radial scale and above. Generally, violations of this type cause a first-order anisotropic kinetic Sunyaev Zel'dovich (kSZ) effect. Here we show that, if large-scale radial inhomogeneities have amplitude large enough to explain the 'dark energy' phenomena, the induced kSZ power spectrum will be orders of magnitude larger than the Atacama cosmology telescope/South Pole telescope upper limit. This single test rules out the void model as the cause of the apparent cosmic acceleration, confirms the Copernican principle on Gpc radial scale and above, and closes a loophole in the standard cosmology.

Considerations on the thermal equilibrium between matter and the cosmic horizon

“…which relies on the cosmological principle [1][2][3] whose validity, at large scales, has not been contradicted [4] and thus far looks rather robust [5,6]. In the latter expression the parameter k = 0, ±1 discriminates the three types of spatial curvatures and Ω is the unit two-sphere.…”

Strategies to Ascertain the Sign of the Spatial Curvature

“…This metric relies on the cosmological principle [6][7][8] whose validity, at large scales, has not been contradicted thus far [9] and it looks rather robust [10][11][12]. The curvature index, k, is either 0, +1, or −1 depending on whether the spatial part of the metric is flat, positively curved (closed), or negatively curved (hyperbolic), respectively.…”