Cosmic topology. Part IId. Eigenmodes and correlation matrices of lens spaces

arXiv:2610.12418 · astro-ph.CO · Submitted 2026-10-08 · Read on arXiv

astro-ph.CO

Submitted: 2026-10-08

Updated: 2026-10-08

Code: https://github.com/CompactCollaboration/CMB-for-S3

Terminology

• Anisotropy — 6× in this paper · explained in 3 episodes
• Fundamental Domain — 3× in this paper
• Core — 2× in this paper · explained in 2 episodes
• Cosmic Linear Anisotropy Solving System — 2× in this paper
• Action Groups — 1× in this paper · explained in 1 episode
• Action Space — 1× in this paper · explained in 1 episode
• Harvard-Smithsonian Center for Astrophysics — 1× in this paper
• Homogeneity — 1× in this paper · explained in 2 episodes
• Kullback-Leibler (KL) Divergence — 1× in this paper · explained in 3 episodes
• Large Language Models (LLMs) — 1× in this paper · explained in 6 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes

Sources

• Planck 2018 results. VI. Cosmological parameters
• Planck evidence for a closed Universe and a possible crisis for cosmology
• Curvature tension: evidence for a closed universe
• What is flat {\Lambda}CDM, and may we choose it?
• Cosmic topology. Part IIa. Eigenmodes, correlation matrices, and detectability of orientable Euclidean manifolds
• Cosmic topology. Part IIb. Eigenmodes, correlation matrices, and detectability of non-orientable Euclidean manifolds
• Laplacian eigenmodes for spherical spaces
• A new analysis of Poincar'e dodecahedral space model
• CMB Anisotropy of the Poincare Dodecahedron
• Cosmic microwave background constraints on multi-connected spherical spaces
• CMB radiation in an inhomogeneous spherical space
• A survey of lens spaces and large-scale CMB anisotropy
• Cosmic Topology of Prism Double-Action Manifolds
• Cosmic Topology of Polyhedral Double-Action Manifolds
• The circles-in-the-sky signature for three spherical universes
• Cosmic topology. Part Ic. Limits on lens spaces from circle searches
• Topological Lensing in Spherical Spaces
• On the Birth of a Closed Hyperbolic Universe
• Orbifolds, Quantum Cosmology, and Nontrivial Topology
• The Boundary Proposal

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