Tootfinder

Cosmic topology. Part IIb. Eigenmodes, correlation matrices, and detectability of non-orientable Euclidean manifolds
Craig J. Copi (COMPACT Collaboration), Amirhossein Samandar (COMPACT Collaboration), Glenn D. Starkman (COMPACT Collaboration), Javier Carr\'on Duque (COMPACT Collaboration), Yashar Akrami (COMPACT Collaboration), Stefano Anselmi (COMPACT Collaboration), Andrew H. Jaffe (COMPACT Collaboration), Arthur Kosowsky (COMPACT Collaboration), Fernando Cornet-Gomez (COMPACT C…

Cosmic topology. Part IIb. Eigenmodes, correlation matrices, and detectability of non-orientable Euclidean manifolds
If the Universe has non-trivial spatial topology, observables depend on both the parameters of the spatial manifold and the position and orientation of the observer. In infinite Euclidean space, most cosmological observables arise from the amplitudes of Fourier modes of primordial scalar curvature perturbations. Topological boundary conditions replace the full set of Fourier modes with specific linear combinations of selected Fourier modes as the eigenmodes of the scalar Laplacian. In this pape…