The Event Horizon - Space and Time Coordinates in the Event Horizon

The radial co ordinate and the time co ordinate switch in the event horizon. Outside the event horizon, you move along r, you change your position in space, not in time. Those same co ordinates exist and can be discussed inside the black hole. By the way, i have a book coming out that explains this in great detail. This is all explained in the biggest ideas a inside the eventorizand The R coordinate moves in a time like direction, and the t co ordinate moves in a space like direction.