You are asking for two things - a deep mystical experience and realization. For the latter, close terms are Jnana and Nididhyasana (both are intellectual). But for mystical experiences, you are unlikely to find anything in the main Upanishads and early Vedanta texts. You will have more luck finding mysticism in later texts on Advaita which merged extraneous material from Yoga (Samadhi), Tantra, etc.
So, the term 'realization' in the school of Advaita is a completely intellectual thing then. Thanks for this information. And this same term 'realization' in schools of yoga and even in the ramakrishna society, means a totally different thing. A deep mystical experience in samadhi.
If only the Advaita articles i went thru, mentioned in their posts that certain terms have different meanings in each hindu school, then i would never have been confused in the first place. lol.
I think that's where enquiry, discussion and research comes in.
If everything's handed to us easily in our first attempt, without us giving any effort of extensive enquiry etc. then where's the fun in that.
EDIT:
Then again, if advaitins don't go after mystical samadhi experiences, then i wonder why advaitins speak of "nirvikalpa samadhi" in their books and articles?
By 'free' i meant, i'm already the infinite Brahman/Self that has no birth, bondage etc. as preached by Gaudapada in mandukya karika.
The solution to freedom from worldly problems is Sanyasa or renunciation. There is no mystical content here and it is also not tied to any specific spiritual belief.
Are there really any freedom from wordly problems?
Didn't Gaudapada say in Mandukya Karika "
There is no dissolution, no birth, none in bondage, none aspiring for wisdom, no seeker of liberation and none liberated."?
It is for you. You are the only entity and yours is the only consciousness. But you have to see this for yourself without relying on anyone else's ideas. It is an intellectual thing. You do not need to spend years associating with live Gurus, reading a bunch of books, meditating, chanting, etc. You can see it now - at which point, you have clarity and your search ends.
EDIT:
So Advaita does admit that at a relative, empirical level, there is bondage and ignorance which needs to removed. If so, masters like Gaudapada, Shankara, Ramana etc. should have been explicit in their statements, like who should seek moksha (from the POV of which reality).
Statements like "no one needs liberation as they are already Brahman" can give a wrong idea to people who are new to spirituality and will instead make people adopt a materialistic lifestyle.
You said no books, gurus etc. are needed. How do you expect this intellectual realization to dawn upon us, without the help of books, scriptures or gurus?