  We propose a method to constrain the scaling dimension of the operators of
the strongly interacting systems (SIS) using the holographic setup. %where the
(d+1)-dimensional black hole is used to describe the d-dimensional SIS.
  We demonstrate our method using the holographic superconductor theory. The
idea is to consider the inside as well as the outside of the AdS black hole in
which the gap equations has higher order singularities. Then the equivalence
principle requests the solution be smoothly connected at the horizon, which
request the vanishing of log divergent term as well as an indefinite
conditionally convergent terms that can lead to any real number according to
Riemann.
  As a result, one gets quantized values of the scaling dimension of the
condensing operator. This is a pleasant surprise because so far one gets the
constraints on the scaling dimension only by a hard analysis with bootstrap
ansatz.
