  The falling charge puzzle in gravitational field is well known due to the
discussions of radiation. The puzzle lies in the heart of linking the
electromagnetism and gravity. Up to date few discussions have fully taken
account of quantum effect of a falling charged-fermion in strong gravitational
field from the first principle. Based on the hypothesis that 4-dimension
conformal symmetry may underly its dynamics, in this paper we try to establish
a quantum equation for the falling process. The resultant equation provides a
manner accounting for the strong CP violation at the beginning of the Big Bang.
Moreover, it turns out that the equation for left-handed fermions breaks the
conformal symmetry and has a tensor-like eigen value. A proposed experiment for
testing the predictions is also suggested.
