omphaloskeptic

One who contemplates or meditates upon one's navel; one who engages in omphaloscopy.

The trouble with this book, however, is that he gazes so fixedly at himself that his own eyes dazzle a little. He is not an omphalosceptic. His gaze never turns downwards; it is kept obstinately at face-level.

[…]though you must admit that no omphaloskeptic, nay, not Plotinus, could have so utterly realized the Infinite as at moments one did to night.

Likely to, prone to, or engaged in contemplating or meditating upon one's navel.

This approach has been referred to as an omphaloskeptic method of design, so called after the term omphaloskepsis used to describe the technique of meditation through contemplation of the navel (from the Greek "omphalos" for navel and "skepsis" for examination).