The Topology of the Universe

arXiv:2606.24886 · astro-ph.CO, gr-qc, hep-th · Submitted 2026-06-23 · Read on arXiv

Craig J. Copi, Deyan P. Mihaylov, Anna Negro, Amirhossein Samandar, Glenn D. Starkman, Yashar Akrami, George Alestas, Stefano Anselmi, Javier Carrón Duque, Fernando Cornet-Gomez, Linn Htat Lu, Andrew H. Jaffe, Arthur Kosowsky, Mikel Martin Barandiaran, Thiago S. Pereira, Catherine Petretti, Andrius Tamosiunas

astro-ph.CO, gr-qc, hep-th

Submitted: 2026-06-23

Comments: Invited Review for Nature Astronomy, 14 pages, 4 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Homogeneity — 10× in this paper · explained in 2 episodes
• Anisotropy — 7× in this paper · explained in 3 episodes
• Core — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Fine-Tuning — 1× in this paper · explained in 5 episodes
• Gravitational Lensing — 1× in this paper · explained in 2 episodes
• Non-Gaussianity — 1× in this paper · explained in 2 episodes
• Wilkinson Microwave Anisotropy Probe — 1× in this paper

Sources

• Cosmic topology. Part IIb. Eigenmodes, correlation matrices, and detectability of non-orientable Euclidean manifolds
• Comments on the no boundary wavefunction and slow roll inflation
• Quantum Signatures of Cosmic Topology: How Casimir Backreaction Transmits Isotropy Violation
• The Universe Originating from an Empty Planck-Size Torus

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