Does a balance headphone exist?

And if an headphone sound only inside the head with an headphone feel instead of a speakers feeling outside or around the head  it is unbalanced headphone  for my ears... 

Big +1 @mahgister It’s not only about balanced tonality but also imaging and soundstage.  For me, if everything sounds like it’s inside my head it’s very limiting and not enjoyable, so overall “balance” can mean different things to different people, as always.  But I have two pairs of Hifiman open-back ‘phones (HE400S and Arya Stealths) and find them to sound very neutral and balanced while also offering very good “out of the head” imaging/soundstage.  Of course your choice of amp, DAC, cables, etc. will significantly influence whatever “balance” you ultimately achieve as well, so it’s obviously not just about the headphones.  It’s the whole “the chain is only as strong as the weakest link” thing that’s pervasive and unavoidable throughout audio.

I think @magister has nailed it with the word “immersiveness.” Not even sure that’s a real word, but it should be.  If you aren’t “immersive” in ur headphone experience, then what do u really have here? U have nothing. Search for “imersiveness” in headphones or search nothing. It is the end all be all of HeadFi listening. Full stop and @magister has absolutely nailed it IMHO.