Information missing puzzle, where is Hawking's error?

Matters falling into and consisting of a blackhole can oscillate periodically across instead of accumulate statically on the central point and form singularities there. In quantum languages, this oscillation not only resolves the central singularity of blackholes but also blurs their horizon remarkably. This blurring makes the horizon not a zero-thickness geometric surface any more, but an extended physic region whose thickness is comparable with the horizon radius itself. It is our negligence of this fact that leads to the information missing puzzle, and other related question in blackhole physics. Besides the title question and Schwarzschild singularity's resolving, the current work also provides interpretations for the origin of Bekenstein-Hawking entropy and an explicitly unitary formulation of Hawking radiations.