We discuss mathematical models describing the action of consciousness and super-consciousness as these phenomena are defined in the Extended Everett's Concept (EEC) proposed by the author. According to the Everett's interpretation of quantum mechanics, the state of the quantum world is a superposition of various classical pictures of the world (classical realities, or alternatives). Humans, due to their ability called consciousness, perceive the alternatives separately: all alternatives are perceived, but subjectively perceiving one of them is accompanied by the sensation of the remaining alternatives as if being invisible. This causes the impression that only one of the alternatives really exists, but this is an illusion of consciousness. When consciousness (separating the alternatives) is turned off (in sleep, trance or meditation) or weakened, another ability arises called super-consciousness. Due to super-consciousness, the human gets access to the set of all alternative realities taken as a whole, selects those alternatives that are favorable, and ensures that just these selected alternatives are experienced after consciousness is turned on again. Thus, EEC explains, on the basis of quantum mechanics, those features of consciousness which are usually treated as mystical. It is shown in the paper how these features of consciousness and super-consciousness can be presented by simple mathematical models.
mathematical models; subjective preferences; quantum concept of consciousness