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The quantum mind/body problem refers to the philosophical discussions of the mind/body problem in the context of quantum mechanics. Since quantum mechanics involves quantum superpositions, which are not perceived by observers, quantum mechanics apparently places observers in a special position.
The founders of quantum mechanics debated the role of the observer, and of them, Wolfgang Pauli and Werner Heisenberg believed that it was the observer that produced collapse. This point of view, which was never fully endorsed by Niels Bohr, was denounced as mystical and anti-scientific by Albert Einstein. Pauli accepted the term, and described quantum mechanics as lucid mysticism.
Unlike Heisenberg and Bohr, who always described quantum mechanics in logical positivist terms, Hugh Everett took the wavefunction of quantum mechanics as a real description of the world. In the many-worlds interpretation, the memories of the observer splits at every measurement, leading to the subjective appearance of collapse.
This observation was separated from many-worlds interpretation by Eugene Wigner, who proposed that the consciousness of the observer is what causes collapse of the wavefunction, independent of any realist philosophy or splitting observers. Colloquially known as "consciousness causes collapse", this interpretation of quantum mechanics states that observation by a conscious observer is what makes the wave function collapse.