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 $g-2\mathrm{}$ factor and theoretical prediction gives the value 4- (5.3±2.5)×${10}^{-7\mathrm{}}$ for the dimension of space-time.