Topology at the Planck Length

Details Topology at the Planck Length Topology at the Planck Length

1997-08-22

arxiv.org/abs/gr-qc/9708053v1

Class.Quant.Grav. 15 (1998) 811-826

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Orsay Preprint 97/34, 17 pages, Latex

Scientific paper

10.1088/0264-9381/15/4/009

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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