We apply quantum description of time, based on Page and Wootters' mechanism, for near
horizon region of black hole. It is indicated that this method of quantization of time which is a
modified form of PaW approach and has been proposed in [21] can not be applied in this
particular quantum region of black hole, fully. The time evolving of the system and flow of
time, measurement problem, recording the history of near-horizon zone and also a
consistent definition of the arrow of time are controversial in PaW approach in this particular …