Topology and the Cosmic Microwave Background

Janna Levin

Topology and the Cosmic Microwave Background

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arxiv gr-qc/0108043 v2 pith:7L5NKDFW submitted 2001-08-16 gr-qc astro-ph

Janna Levin This is my paper · ORCID

classification gr-qcastro-ph

keywords finiteinfinitebackgroundcosmicgeneralinfinitiesrelativityuniverse

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Nature abhors an infinity. The limits of general relativity are often signaled by infinities: infinite curvature as in the center of a black hole, the infinite energy of the singular big bang. We might be inclined to add an infinite universe to the list of intolerable infinities. Theories that move beyond general relativity naturally treat space as finite. In this review we discuss the mathematics of finite spaces and our aspirations to observe the finite extent of the universe in the cosmic background radiation.

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Gravitational waves and cosmic boundary
gr-qc 2024-11 conditional novelty 6.0 of 10

If the cosmos has a reflective boundary beyond redshift 15, gravitational waves from repeated black hole mergers could reveal it, with a TianQin+LISA network best at fixing the boundary's orientation.

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