Modelling of consciousness and interpretation of quantum mechanics
Abstract
I start from the fundamental principles of non-relativistic quantum mechanics, without probability, and interpret them using the notion of coexistence: a quantum state can be read, not uniquely, as a coexistence of other quantum states, which are pairwise orthogonal. In this formalism, I prove that a conscious observer is necessarily a physical object that can memorize local events by setting one of its parts in an exactly specified constant quantum state (hypotheses H1, H2 and H3). Then I define the probability of a future event as the proportion of initial observers, all identical, who will actually experience that event. It then becomes possible to establish the usual results of quantum mechanics. Furthermore, I detail the link between probabilities and relative frequencies. Additionally, I study the biological feasibility of this modelling of observer's mind. The second part of this paper completes the neuronal description of the mind functions, based on current neuroscientific knowledge. It provides a model that is compatible with the assumptions of the first part and consistent with our daily conscious experience. In particular, it develops a model of self-consciousness based on an explicit use of the random component of neuron behaviour; according to the first part, that random is in fact the coexistence of a multiplicity of possibilities. So, when the mind measures the random part of certain neurons in the brain, he goes himself within each of these possibilities.…
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