Measuring the Dimension of Space-Time

Abstract

Operationalistic definition of the dimension of space-time leads to the possibility of its experimental determination. Several reasons may be given for the fractional dimension of space-time to be slightly smaller than four, yielding a finite quantum electrodynamics. Comparison between the best experimental values for the electron $g\ensuremath{-}2$ factor and theoretical prediction gives the value 4- (5.3\ifmmode\pm\else\textpm\fi{}2.5)\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}7}$ for the dimension of space-time.