This paper shows that as the dimensionality of a noninteger dimensional
falls below 2, the potential becomes constant irrespective of separation
between objects and the force between them disappears, which represents
a new paradigm of asymptotic freedom. Since asymptotic freedom is at the
basis of many applications such as those of strange metals,
unconventional superconductors, and fractional quantum Hall states, the
new paradigm presented here can potentially have new and unexpected
applications. It also is of relevance to the study of anomalous
mechanical effects that are important in metamaterials.