2002/03/24 by Alexander K. Guts
Physics and Astronomy · #physics.gen-ph
published as Mathematical Structures and Modeling, No.8,76-90 (2001) · 16 pages, 1 figure, LaTeX2e
arxiv created 2002/03/24 · arxiv updated 2009/12/01
The Deutsch multiverse is collection of parallel universes. In this article a formal theory and a topos-theoretic model of the Deutsch multiverse are given. For this the Lawvere-Kock Synthetic Differential Geometry and topos models for smooth infinitesimal analysis are used. Physical properties of multi-variant and many-dimensional parallel universes are discussed. Quantum fluctuations of universe geometry are considered. Photon ghosts in parallel universes are found.