Explanation of time freezing [on hold]

This is a question that's been on my mind for some time now.

Suppose we have a stopwatch that can stop time when pressed, and can resume it when pressed again.

There has been some references about this object, such as in The Simpsons (Tree House o Horror XIV):

And also in The Twilight Zone (A kind of a Stopwatch):

When you press the stopwatch, all the world around you would freeze, including time. However, the stopwatch's user would be able to move at will and disturb the frozen objects (i.e., move them, desroy them, etc.)

The stopwatch is just an example of an object that can create this situation.

In an scenario that time is stopped, how would you even move? Why is the user not frozen like the rest of the people? Isn't the user in the same dimension of time as the rest?

Maybe one could argue that the user enters some kind of new time dimension, only available to him, that runs at parallel to the frozen one. But what does that mean? What if the user moves an object around? For an object to be moved around, time is needed. Would it be moved using the new time dimension? Therefore, when the user resumes the old time dimension, would these changes (made with the new dimension) merge with the old one? The merging could be done inmediately, therefore reflecting the changes in less than a perceivable unit of time.

What are your theories about this? I'm finding it hard to believe in time stopping due to the arguments posted above.