Quantum metric spaces as a model for pregeometry

descriptionPublicationkeyboard_double_arrow_right Article 15 Mar 1992 Spain English Publisher:American Physical Society (APS)Journal:Physical Review D, volume 45, pages 2,033-2,043 (issn: 0556-2821,

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Authors: Alvarez Lacalle, Enrique; Céspedes i Capdevila, Juli; Verdaguer Oms, Enric, 1950-;

doi: 10.1103/physrevd.45.2033

pmid: 10014576

handle: 2445/12390

Quantum metric spaces as a model for pregeometry

- Summary
- Subjects
- Metrics

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.

Country

Spain

Related Organizations

University of Bern
Switzerland
University of Barcelona
Spain
Autonomous University of Barcelona
Spain
Institute for Theoretical Physics
Switzerland

Keywords

Monte Carlo method, Quantum field theory, Gravitació, Teoria quàntica de camps, Metric spaces, Espais mètrics, Mètode de Montecarlo, Gravitation

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