"This invention is a training system which enables a human being to acquire sufficient hyperspace energy in order to pull the body out of dimension so that the person can walk through solid objects such as wooden doors."
Problem #1: Pulling the body "out of dimension" will result in gravity not pulling you down anymore. How can you walk if gravity doesn't affect you?
Problem #2: To floor is made of the same matter as the wall. If you can go through the wall, you will also go through the floor. How can you walk on the floor if, from your perspective, the floor is out of dimension? Is there another floor? If there is another floor, is it congruent with the previous floor? And if so, why?
Problem #3: If we assume that you don't walk when pulled out of dimension, we must assume that you are floating. The Earth is moving through space. If you are floating, and you're not attached to Earth anymore, why would you float in congruency with Earth?