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Topology at the Planck Length

J. Madore·L. A. Saeger
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Abstract

A basic arbitrariness in the determination of the topology of a manifold at the Planck length is discussed. An explicit example is given of a `smooth' change in topology from the 2-sphere to the 2-torus through a sequence of noncommuting geometries. Applications are considered to the theory of D-branes within the context of the proposed $M$(atrix) theory.

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J. Madore, L. A. Saeger. 1997-08-22. Topology at the Planck Length. https://doi.org/10.1088/0264-9381%2F15%2F4%2F009

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