Quantum metric spaces as a model for pregeometry

Enrique Alvarez, Juli Céspedes, Enric Verdaguer

    Research output: Contribution to journalArticleResearchpeer-review

    11 Citations (Scopus)


    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. © 1992 The American Physical Society.
    Original languageEnglish
    Pages (from-to)2033-2043
    JournalPhysical Review D
    Issue number6
    Publication statusPublished - 1 Jan 1992


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