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arXiv:quant-ph/0309124

NuRules and Objective/Observer Measurement

Richard A. Mould

Published Sep 16, 2003• 1 citation
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Abstract

New rules are proposed to govern the collapse of a wave function during measurement. These rules apply with or without an observer in the system. They overcome an absurdity that was previous found when an objective state reduction is combined with an observer-based state reduction. Key Words: brain states, conscious observer, detector, measurement, florescent pulsing, probability current, state reduction, three-level atom, von Neumann, wave collapse.

DOI
10.48550/arxiv.quant-ph/0309124

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We consider two straightforward rules that govern the stochastic choice in a single quantum mechanical event. They are shown to lead to absurd results if an objective state reduction is allowed to compete with an observer state reduction. Since the latter collapse is empirically verifiable, the existence of the former is thrown into question. Key Words: Born Interpretation, brain states, continuous observation, conscious observer, objective measurement, observer measurement, probability current, state reduction, wave collapse.
Preciously given rules allow conscious systems to be included in quantum mechanical systems. There rules are derived from the empirical experience of an observer who witnesses a quantum mechanical interaction leading to the capture of a single particle. In the present paper it is shown that purely classical changes experienced by an observer are consistent with these rules. Three different interactions are considered, two of which combine classical and quantum mechanical changes. The previously given rules support all of these cases. Key Words: brain states, conscious observer, detector, measurement, probability current, state reduction, von Neumann, wave collapse.
This paper elaborates on four previously proposed rules of engagement between conscious states and physiological states. A new rule is proposed that applies to a continuous model of conscious brain states that cannot precisely resolve eigenvalues. If two apparatus states are in superposition, and if their eigenvalues are so close together that they cannot be consciously resolved on this model, then it is shown that observation will not generally reduce the superposition to just one of its member eigenstates. In general, the observation of a quantum mechanical superposition results in another superposition. Key words: Brain states, consciousness, conscious observer, macroscopic superposition, measurement, state reduction, state collapse, von Neumann.
Quantum mechanics traditionally places the observer outside of the system being studied and employs the Born interpretation. In this and related papers the observer is placed inside the system. To accomplish this, special rules are required to engage and interpret the Schrodinger solutions in individual measurements. The rules in this paper (called the nuRules) do not include the Born rule that connects probability with square modulus. It is required that the rules allow conscious observers to exist inside the system without empirical ambiguity, reflecting our own unambiguous experience in the universe. This requirement is satisfied by the nuRules. They allow both objective and observer measurements, so state reduction can occur with or without an observer being present. Keywords: brain states, epistemological model, ontological model, stochastic choice, state reduction, von Neumann, wave collapse.
We examine the role of a conscious observer in a typical quantum mechanical measurement. Four rules are given that govern stochastic choice and state reduction in several cases of continuous and intermittent observation. It is found that consciousness always accompanies a state reduction leading to observation, but its presence is not sufficient to 'cause' a reduction. The distinction is clarified and codified by the rules that are given below. This is the first of several papers that lead to an experimental test of the rules, and of the "parallel principle" that is described elsewhere. Key words: Brain states, boundary conditions, consciousness, conscious observer, environment, decoherence, macroscopic superposition, measurement, state reduction, state collapse, von Neumann.
In a previous paper we examined the role of a conscious observer in a typical quantum mechanical measurement. Four rules were given that were found to govern the stochastic choice and state reduction in several cases of continuous and intermittent observation. It was shown that consciousness always accompanies a state reduction leading to observation, but its presence is not sufficient to 'cause' a reduction. The distinction is clarified and codified by the rules that are repeated below. In this paper, these rules are successfully applied to two different versions of the Schrodinger cat experiment. Key Words: Brain states, boundary conditions, cat paradox, consciousness, conscious observer, environment, decoherence, macroscopic superposition, measurement, state reduction, state collapse, von Neumann.