Time dilation, as described by the theory of relativity, is the phenomenon where time appears to run at different rates for observers in different gravitational fields or relative motion. It means that the passage of time can be affected by factors such as gravity or velocity.
In the context of special relativity, time dilation occurs due to relative motion between two observers. When two observers are moving relative to each other at high speeds, they will perceive time to be dilated or stretched. This means that each observer will measure the other's clock as running slower than their own.
In the context of general relativity, time dilation occurs due to the presence of a gravitational field. Clocks closer to a massive object experience a stronger gravitational field and, therefore, run slower compared to clocks farther away from the massive object.
Now, regarding the possibility of time dilation allowing a person to walk through walls, it is important to note that time dilation affects the flow of time, not physical objects or their interactions with each other. Time dilation does not grant any kind of physical ability or change the properties of matter.
Walking through walls would require overcoming the electromagnetic forces that hold solid matter together. These forces are not affected by time dilation. While time dilation can affect the perception of time or the rate at which time passes, it does not enable physical objects, including humans, to pass through solid objects like walls.
So, time dilation, as described by the theory of relativity, does not provide a mechanism for walking through walls or similar physical feats.