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SPACE–TIME UNCERTAINTY RELATION AND OPERATIONAL DEFINITION OF DIMENSION

MICHAEL MAZIASHVILI

Andronikashvili Institute of Physics, 6 Tamarashvili St., Tbilisi 0177, Georgia

https://doi.org/10.1142/S0217751X08039827Cited by:5 (Source: Crossref)

Abstract

Operational definition of space–time in light of quantum mechanics and general relativity inevitably indicates an intrinsic imprecision in space–time structure which has to do with space–time dimension as well. The operational dimension of space–time turns out to be a scale dependent quantity slightly smaller than four at distances ≫l_P. Close to the Planck length the deviation of space–time dimension from four becomes appreciable. The experimental bounds on the deviation of space–time dimension from four coming from the electron factor, Lamb shift in hydrogen atom and the perihelion shift in the planetary motion are still far from the theoretical predictions.

Keywords:

PACS: 04.60.-m, 06.20.Dk, 11.10.Kk

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