Academic journal article Cosmos and History: The Journal of Natural and Social Philosophy

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

Academic journal article Cosmos and History: The Journal of Natural and Social Philosophy

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

Article excerpt

CONTENTS  Abstract Introduction   The Professor and his Friend   Seeking an answer PART I: A PATH FORWARD   Meta-values of observables   Quantum Automata Qubit Operations   Memory States of Quantum Automata A short review of Albert's papers showing self-reference   the uncertainty principle equations of Quantum Physics Action of Quantum Automata   Predictions of Quantum Automata   Self-referring predictions   Secret memories in violation of the uncertainty principle 1ST CONCLUSION PART II: RUSSIAN GODELIZATION   Godel in Brief   Yurov's Godelzing quantum automata 2nd CONCLUSION: SELF-REFERRING CONSCIOUSNESS 

INTRODUCTION

For a period of time now I have been engaged in an ongoing effort to understand the everyday experience we all have called consciousness and its relation with the physical world. (2) Indubitably quantum physics enters into my research. A while ago I read David Z. Albert's work on quantum automata. (3) It then seemed to me to point in the direction we need to take in science to understand a quantum physical model of mind. With the advent of the modern computer age, particularly with the advances in artificial intelligence (AI) and the rapid growth in building quantum computers, that new direction pointed to by Albert may be yielding a new understanding of consciousness--at least as far as we can provide new models.

It still seems to me that quantum physics and consciousness must be intimately related as a number of physicists and consciousness researchers have indicated over the past years. (4) Quantum physics indicates that an observer plays a crucial role in determining the objective qualities of the observable physical world. There does not seem to be any way to dismiss this role as a mere consequence of matter. Yet a key insight that Albert uncovered was the distinction between subjective and objective memory states that can arise within quantum automata.

Once a model of the mind appears promising, the next step would be to extend the model, although still keeping to the rules, rigor, and logic found in it. One might think that such an extension would be unpromising and, being based on quantum physics, would leave out far more than it could encompass. For example, the gap between purely subjective and objective experiences appears to be insurmountable. How can we expect the inner subjective world of the mind to be subject to the same laws as the outer objective world of matter? Why should we even have such an expectation?

In this paper I offer an extension of Albert's work on quantum automata by showing how quantum automata could function within the rules of quantum computation by consideration of qubits acting as quantum state vectors and quantum mechanical operators acting as quantum computer gates. I have discovered how such a memory could be constructed based on the language of quantum computation--namely through the use of qubits acting as quantum state vectors and quantum gates operating as quantum physical operators. Most import in this extension is the role played by eigenvalues being represented by metamathematical statements.

THE PROFESSOR AND HIS FRIEND

Let's begin with an old story from the early days of quantum physics and its dealings with paradoxes. This one deals with the paradox caused when one tries to put the actions of an observer into the quantum physics picture.

In Fig. 1 we see a friend of Prof. Wigner carrying out an experiment involving a particle placed in a closed box. According to the usual understanding of quantum physics the bound-in particle no longer has a well-defined position, but now assumes the form of a standing-wave pattern inside the box. This pattern tells us where the particle is likely to be found but not where it actually is. Furthermore because the particle is contained, its momentum is also indeterminant--it could be moving either toward the left side or the right side of the box. …

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