In the Batman comics and various adaptations, Bruce Wayne does not have a split personality disorder between himself and Batman in the traditional psychological sense. Instead, Batman is often depicted as the alter ego or persona of Bruce Wayne, representing his crime-fighting and vigilant side.
Bruce Wayne is the billionaire playboy and philanthropist who inherited his family's fortune and runs Wayne Enterprises. On the other hand, Batman is the dark and brooding vigilante who fights crime in Gotham City, seeking justice for the murder of his parents when he was a child. The dual identity allows Bruce Wayne to maintain a public persona while operating as Batman to protect his city.
However, it's worth noting that some interpretations of Batman's character have explored themes of duality, inner conflict, and psychological complexities. For instance, certain storylines have depicted Batman struggling with his identity and wrestling with the darker aspects of his personality. These explorations provide depth and complexity to the character but do not necessarily imply a clinical split personality disorder.
Overall, the relationship between Bruce Wayne and Batman is more of a psychological aspect of his character rather than a manifestation of a split personality disorder. Batman is a symbol of justice and fear used by Bruce Wayne to achieve his mission, and the two identities are ultimately a reflection of his trauma, determination, and sense of responsibility.