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Boris Rusakov

Publications and source records attributed to Boris Rusakov.

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Concepts as Elementary Constituents of Human Consciousness

It is asserted that consciousness functionally is a vision. Biologically it is a sensation of work of a brain that converts external and internal signals into visual output. However, as we well know, human consciousness includes meaning (interpretation), and therefore functionally possesses an additional level of complexity. It consists of concepts which are its minimal components (elementary constituents). A concept is an abstract (i.e. non-existent in nature) common property of different observables, as perceived by humans. It is an irreducible entity since it cannot be divided into any other functional components. At the biological and physical level each concept is a unique sensation encoded in a nervous system as a sensory and visual image. Concepts evolve throughout one's lifetime. We continuously create and acquire new concepts, develop and expand the existing ones, and eliminate and abandon some others. 'I' ('self') is one of the concepts. To acquire a concept one has to learn (to teach one's nervous system) feeling or sensing it, and to connect it to existing concepts, if any. We make a conjecture that both the creation and the acquisition of a concept is a phase transition. The ability to generate and acquire concepts is unique to humans and is the only principal difference between human and animal. We offer scenarios for how this ability could have been acquired by our predecessors, thus making them humans. It is suggested that the animal's brain, being a processor of visual signals that converts them into internal images, has developed this ability as a result of "guessing" or imagining details that are missing in the actual visible picture.

q-bio.NC

Ground State of 2D Quantum Gravity and Spectral Density of Random Matrices

We compute the exact spectral density of random matrices in the ground state of the quantum hamiltonian corresponding to the matrix model whose double scaling limit describes pure gravity in 2D. We show that the non-perturbative effects are very large and in certain cases dominate the semi-classical WKB contribution studied in the earlier literature. The physical observables in this model are the loop averages with respect to the spectral density. We compute their exact ground-state expectation values and show that they differ significantly from the values obtained in the WKB approximation. Unlike the alternative regularizations of the nonperturbative 2D quantum gravity, based on analytic continuation of the Painlevé transcendent, our solution shows no pathologies.

hep-th