Quantum metric spaces as a model for pregeometry

Enrique Alvarez, Juli Céspedes, and Enric Verdaguer
Phys. Rev. D 45, 2033 – Published 15 March 1992
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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.

  • Received 25 July 1991

DOI:https://doi.org/10.1103/PhysRevD.45.2033

©1992 American Physical Society

Authors & Affiliations

Enrique Alvarez*

  • Universität Bern, Institut fur Theoretische Physik, Sidlerstrasse 5, CH 3012 Bern, Switzerland

Juli Céspedes and Enric Verdaguer

  • Grup de Física Teòrica, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain

  • *On leave from Universidad Autónoma de Madrid, 28049 Madrid, Spain.

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Vol. 45, Iss. 6 — 15 March 1992

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