A Hilbert-Space Framework for the Genesis of Conscious Mental States
Starting from Jung's psychoanalytical perspective on mind and building on recently developed cognitive systems theory based on the mathematics of a Hilbert space, a formalism is developed in which mental states -- conscious as well as unconscious -- are described by state vectors in a Hilbert space. Particularly, it is proposed that the mental process of metabolization of blurred, semiconscious, or dreamlike mental states into clear ideas and unambiguous cognitive states can be formalized using eigenvalue equations. A comparison between experiences from psychoanalytical clinical practice and the phenomena to be expected from the proposed model are presented. Also, correspondences between the model and results from neuroscientific research on brain-hemisphere functionality are identified. Implications for clinical methodology are suggested.
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Document Type: Research Article
Publication date: January 1, 2013