Topology at the Planck Length
General Relativity and Quantum Cosmology
2009-10-30 v1 High Energy Physics - Theory
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 (atrix) theory.
Cite
@article{arxiv.gr-qc/9708053,
title = {Topology at the Planck Length},
author = {J. Madore and L. A. Saeger},
journal= {arXiv preprint arXiv:gr-qc/9708053},
year = {2009}
}
Comments
Orsay Preprint 97/34, 17 pages, Latex