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The frontiers collection

Impact of Quantum Mechanics on Human Values

Henry Pierce Stapp

Published Jan 1, 2011• 0 citations
Publisher
DOI
10.1007/978-3-642-18076-7_16

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Instances of non-commutativity are pervasive in human behavior. In this paper, we suggest that psychological properties such as attitudes, values, preferences and beliefs may be suitably described in terms of the mathematical formalism of quantum mechanics i.e., non-classical or quantum logic. We expose the foundations of non-classical measurement theory building on a simple notion of orthospace and ortholattice (logic). Two axioms are formulated and the characteristic state-property duality is derived. A last axiom concerned with the impact of measurement on the state takes us with a leap toward the Hilbert space model of Quantum Mechanics. An application to social sciences is then proposed. First we suggest an interpretation of the basic axioms and properties for human behavior. We next develop a decision theoretical example and indicate how non-classical measurement theory could be used to formulate a theory of actualized preferences.
Instances of non-commutativity are pervasive in human behavior. In this paper, we suggest that psychological properties such as attitudes, values, preferences and beliefs may be suitably described in terms of the mathematical formalism of quantum mechanics. We expose the foundations of non-classical measurement theory building on a simple notion of orthospace and ortholattice (logic). Two axioms are formulated and the characteristic state-property duality is derived. A last axiom concerned with the impact of measurements on the state takes us with a leap toward the Hilbert space model of Quantum Mechanics. An application to behavioral sciences is proposed. First, we suggest an interpretation of the axioms and basic properties for human behavior. Then we explore an application to decision theory in an example of preference reversal. We conclude by formulating basic ingredients of a theory of actualized preferences based in non-classical measurement theory.