Quantum Consciousness
An approach to the mind-body problem based on physical laws has been advocated by several thinkers. Quantum Theory has been particularly intriguing for scientists eager to provide a physical explanation of consciousness.
Loosely speaking, the point is that consciousness is unlikely to arise from classical properties of matter (the more we understand the structure and the fabric of the brain, the less we understand how consciousness can occur at all), which are well known and well testable. But Quantum Theory allows for a new concept of matter altogether, which may well leave cracks for consciousness, for something that is not purely material or purely extra-material.
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Neurobiologists assume that the brain and its parts behave like classical objects, and that quantum effects are negligible, even while the "objects" they are studying get smaller and smaller. What neurobiologists are doing when they study the microstructure of the brain from a Newtonian perspective is equivalent to organizing a trip to the Moon on the basis of Aristotle's Physics, neglecting Newton's theory of gravitation.
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http://www.thymos.com/science/qc.html