I can provide information based on what has been reported by individuals with Dissociative Identity Disorder (DID) and what is known from research and clinical literature.
Living within the inner world for individuals with DID is a subjective experience that can vary from person to person and even from alter to alter. The inner world, also known as the inner landscape or internal world, refers to the complex and interconnected mental spaces where different identities or "alters" exist. These alters can have their own thoughts, emotions, memories, and perceptions.
For some individuals with DID, the inner world may feel very vivid and real, akin to a parallel reality or an alternate dimension. They might experience a sense of being "inside" this world, with a clear distinction between their physical surroundings and the inner mental space. In this case, alters may interact with each other and with elements of the inner world in ways that feel tangible and authentic to them.
As for the perception of physical sensations like hugs, it can vary among alters. Some alters may experience emotions and sensations just as intensely as someone in the external world, while others may not perceive them in the same way. For instance, a hug given to one alter might be experienced differently than a hug given to another alter, depending on their individual psychological makeup and experiences.
Regarding time and space in the inner world, some individuals with DID report that time can be experienced differently within their internal system. Time may seem to pass at different rates for different alters, and some alters may have limited awareness of the experiences of others. As for space, the internal landscape can be vast and intricate, with different alters having their own "spaces" or areas within it.
When an alter identifies as a mythical or fantastical being, they may perceive their "real body" differently within the inner world. This perception could be influenced by their self-concept, which may be shaped by their experiences, beliefs, and imagination. For example, a mythical alter might have attributes, abilities, or appearances that differ from the host body or other alters, reflecting their unique identity within the inner world.
It's important to recognize that the experiences of individuals with DID are diverse and complex. Each person's inner world is unique to their individual coping mechanisms and life experiences. Mental health professionals with expertise in DID can work with individuals to explore and understand their inner world, providing appropriate support and therapeutic interventions.