Low scale unification, Newton's law and extra dimensions

Motivated by recent work on low energy unification, in this short note we d erive corrections on Newton's inverse square law due to the existence of ex tra decompactified dimensions. In the four-dimensional macroscopic limit we find that the corrections are of Yukawa type. Inside the compactified spac e of n-extra dimensions the sub-leading term is proportional to the (n + 1) -power of the distance over the compactification radius ratio. Some physica l implications of these modifications are briefly discussed. (C) 1999 Elsev ier Science B.V. All rights reserved.