Topology of the Universe

1999/10/15 by Włodzimierz Piechocki, Wlodzimierz Piechocki, Piechocki, Wlodzimierz
Mathematics · Physics and Astronomy · #advanced mathematical theories #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9910055

Presented at the Workshop `Connecting Fundamental Physics and Cosmology', Cambridge, U.K., 23-27 August 1999; 5 pages, LaTeX2e, no figures

arxiv created 1999/10/15 · arxiv updated 2009/11/30

Abstract

General relativity is unable to determine the topology of the Universe. We propose to apply quantum approach. Quantization of dynamics of a test particle is sensitive to the spacetime topology. Presented results for a particle in de Sitter spacetimes favor a finite universe.

Related

• Topology of spacetime and quantization of particle dynamics
• General Topology of the Universe
• Topology change in classical and quantum gravity
• Quantum Topology, Quantum Topodynamics, Differential Topology in Quantum Space, Gauge Theory of Gravitation
• Cosmic Topology: a Brief Overview