Quantum metric spaces as a model for pregeometry

Enrique Alvarez, Juli Céspedes, Enric Verdaguer

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    11 Citations (Scopus)

    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. © 1992 The American Physical Society.
    Original languageEnglish
    Pages (from-to)2033-2043
    JournalPhysical Review D
    Volume45
    Issue number6
    DOIs
    Publication statusPublished - 1 Jan 1992

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    Alvarez, E., Céspedes, J., & Verdaguer, E. (1992). Quantum metric spaces as a model for pregeometry. Physical Review D, 45(6), 2033-2043. https://doi.org/10.1103/PhysRevD.45.2033