A Topological Signature in Cosmic Topology |
Common terms and phrases
3-manifold of constant average number Clifford translation comparable catalogues computer-aided simulations connected space constant curvature cosmic images cosmic objects covering group covering isometries covering manifold cubic manifold T4 Derp distance correlations dodecahedron EPSH expected number extract the topological Figure flat manifolds give rise histogram MPSH hyperbolic geometry hyperbolic manifolds images per catalogue isometry g mean pair separation MPSH procedure MPSH technique multiply connected manifold multiply connected RW multiply connected universe multiply-connectedness non-translational isometries number of images number of pairs number of seeds observable images observed universe Ba obtaining extracting obtaining the topological pair separation histogram quotient manifolds Rio de Janeiro Robertson-Walker role of non-translational SC exp separation histograms PSH signature of multiply simply connected spacetimes spike spectrum spikes in PSH's statistical fluctuations statistical noises suitable approach tetrahedron theoretical results topological signature 4º topological signature arises topological spikes uniform distribution universe with radius Þ(Si Þ³ Þexp(Si