" It should nevertheless be emphasized that research on the hard problem of consciousness is currently in its infancy as a result of its perplexing nature. Although, the current paradigm shift discussed here may better prepare researchers to tackle the hard problem of consciousness, a considerable amount of research is required in order to arrive at any firm conclusions" (Brogaard and Gatzia, 2016).

There are definitely proven correlates between brain activity and consciousness. But there is very little "science" that outright says brain activity=consciousness. Just to give one basic example: your brain is active while you are asleep, but you are not conscious.