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The body's balancing mechanism is in the inner ear
. An ENT (Ear Nose Throat) specialist is the one to see - especially in the presence of tinnitus
. They have special tests to confirm or exclude the contribution of the ear - which probably is the case with you.
Blowing out increases because of pressure and associated Eustachian catarrh
Diverting the attention seems to attenuate..
It is going to take long time...
Wishing speedy recovery