The problem is: I don't think we don't understand consciousness yet.
The problem of consciousness is one of immense complexity, and curing schizophrenia will require advanced mathematics, and neurobiology (esp. neuroimmunology).
Instead of asking, how does mathematics solve the problems of the world?
I think the only direct approach to understanding consciousness is to ask, why is the framework of mathematics that we've created in our minds the only logical framework?
When you are selectively attentive to specific objects, you're quantizing space-time. This can be visualized with an experiment. Draw a series of dots on a piece of paper, and bring it close to your eyes. You will never be able to seperate the concept of a dot from its association with that dot on a piece of paper, unless you think of the piece of paper. If you think of the piece of paper, then you're quantizing another aspect of your field of view. This is very similar to particles passing through a membrane that is only porous to particles of a small size. It's a form of compression.
That's how I see consciousness. It's a process of discretization on one side of a membrane from its natural representation, and reconstruction on the other side of the membrane. The reconstruction is only possible due to some properties of branching processes. In schizophrenia, the membrane is slightly more porous. This explains the difficulty of schizophrenics to filter out certain stimuli. At a distance infinitesimally near the membrane, there is a fractal geometry. Once the geometry at the interface is discovered, a stimulus can be engineered that will modify the membrane. I think this would involve a combination of a very high number of tones and white noise, in addition to a phase transition (all occuring within a short period of time). Unlike black holes, consciousness does have hair IMO.


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