The term "Balkan" and the term "balcony" have the same root in that persian word (بالكانه bālkāneh). 

OK, my mistake. Can I say "a few times". And that is not my original research.
There are many of etymological explanations. Every etymological explanation of the term "Balkan" is linguistic (bulgarian, turkish, persian, etc.). The claim that is the persian word, is just equally correct as the other claims are. You can prefer turkish explaination, but I still claim that the term "Balkan" came from persian language. The term "Balkan" and the term "balcony" have the same root in that persian word (بالكانه bālkāneh).