Anatman: How does the illusion of 'I'/ self seize?

It seems that 'I' am between worlds. Sometimes the illusion is not there. Sometimes it seems that thoughts string together this sense of self. How can anatman be fully realised without this 'I' being recreated? The dictionary describes this as the self: a person's essential being that distinguishes them from others, especially considered as the object of introspection or reflexive action. How might this be true/untrue? How does the state of anatman begin to permanently remain without the magnetism of this self?