On Quantum Mechanical Automata, Gödel Numbers, and Self-Referring Consciousness

Abstract

In this paper I shall show how a post-quantum physical model of the self-referring mind based on Albert's quantum automata and Yurov's Gödelzing model of the same can be constructed. A quantum automaton seems to exhibit privacy of consciousness-the realization of an individual mind and what differentiates a "self-mind" from an "other-mind". My model, extending from Albert and Yurov, is based on consideration of qubits acting as quantum state vectors and quantum mechanical operators acting as quantum computer gates. I hope to show:

• The relationship of Gödel's undecidibility proof to David Z. Albert's model of quantum automata can be understood in quantum computing language.
• Whether or not we need new physics to understand self-referring quantum automata.
• The privacy of consciousness-why we each have the realization of an individual mind and what differentiates a "self-mind" from an "other-mind"
• The connection between objective and subjective experience.

In this rather simple manner, I believe I have explained how it is that our experiences of the "out there" world, that we know must include our memories in order to be perceived, appear to us as occurring "out there" even though we strongly suspect from neurophysiology that such experiences must be projected from our brains and nervous systems in some yet to be determined manner.