That would not only sever the corpus collosum, but also would split several parts of the limbic system and the thalamus, not to mention splitting the brainstem in half. Because the thalamus and brainstem connect the afferent neurons in one side of the body with the opposite side of the brain, all sensory input(with the possible exception of smell) would be cut off. In most people, the left brain is the area where lingual, analytic thought occurs, but other processes occur in the right brain. In experiments with split brain patients, the different sides of the brain seem to exist independently of each other, although in those cases the brains are still connected in the brainstem.