If you can move, while manipulating time so that no one else is moving, then in their reference frame, you are traveling faster than light, thus actually making your mass imaginary, and violating causality, unless of course people treat you as an anti-cat, made purely of energy-reversed matter. Hmm... damn your power's cool.
You could, while time-stopping, throw tufts of fuzz at stuff to deteriorate it, negating the mass-energy of the substance. But you wouldn't be able to open doors, as your paws would fall off. Can you fly whilst in time-stop?
