To contemplate one's navel for cosmic significance

Solution 1:

Sounds like navel-gazing to me.

–noun Slang.
excessive absorption in self-analysis or focus on a single issue.

Edit: Starting with an 'O', I'll go with omphaloskepsis. It's the fancy Greek term for navel-gazing :).

–noun
contemplation of one's navel as part of a mystical exercise.