Quantum metric spaces as a model for pregeometry

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Title:	Quantum metric spaces as a model for pregeometry
Author:	Alvarez Lacalle, Enrique; Céspedes i Capdevila, Juli; Verdaguer Oms, Enric, 1950-
Other authors:	Universitat de Barcelona
Abstract:	A new arena for the dynamics of spacetime is proposed, in which the basic quantum variable is the two-point distance on a metric space. The scaling dimension (that is, the Kolmogorov capacity) in the neighborhood of each point then defines in a natural way a local concept of dimension. We study our model in the region of parameter space in which the resulting spacetime is not too different from a smooth manifold.
Subject(s):	-Gravitació -Mètode de Montecarlo -Espais mètrics -Teoria quàntica de camps -Gravitation -Monte Carlo method -Metric spaces -Quantum field theory
Rights:	(c) The American Physical Society, 1992
Document type:	Article Article - Published version
Published by:	The American Physical Society
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