X. The philosophy that interests me – advaita vedanta – teaches that consciousness is the essence or ultimate reality of the universe, and that the world is contained in that consciousness (atman/Brahman) rather than consciousness being contained in the world, that is, in the individual’s brain, as an epiphenomenon or emergent property. This viewpoint is completely different from that of empirical science.
Y. Advaita Vedanta’s theory has no concrete evidence. It sounds like that soul exists.
In my opinion, the advancement of science can give us a reasonable interpretation of self-awareness in the future.
X. Advaita vedanta is much more than a theory; it is based on millenia of reflection and experience by a select few at any one time about life, man’s constitution, and the universe. I doubt that empirical science will ever come up with the explanation you are hoping for. Advaita can only engage in a discussion with scientists, such as theoretical physicits and mathematicians, whose open mind and inquisitiveness allow them to consider its tenets and far-reaching viewpoint. There is a point at which a great scientist (such as Eddington, Einstein, von Heisenberg, Tesla, etc.) becomes also a philosopher.