Overview

Over the last ten years, elements of the formalism of quantum mechanics have been successfully applied beyond physics in areas such as psychology (especially cognition), economics and finance (especially in the formalization of so-called ‘decision making’), political science, and molecular biology. An important stream of work along these lines, commonly under the heading of quantum-like modeling, has been published in well regarded scientific journals, and major publishers have devoted entire books to the topic. This Festschrift honors a key figure in this field of research: Andrei Khrennikov, who made momentous contributions to it and to quantum foundations themselves. While honoring these contributions, and in order to do so, this Festschrift orients its reader toward the future rather than focusing on the past: it addresses future challenges and establishes the way forward in both domains, quantum-like modeling and quantum foundations. A while ago, in response to the developments of using the quantum formalism outside of quantum mechanics, the eminent quantum physicist Anton Zeilinger said, ‘Why should it be precisely the quantum mechanics formalism? Maybe its generalization would be more adequate…’ This volume responds to this statement by both showing the reasons for the continuing importance of quantum formalism and yet also considering pathways to such generalizations. Khrennikov’s work has been indispensable in establishing the great promise of quantum and quantum-like thinking in shaping the future of scientific research across the disciplines.

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9783031129889

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Arkady Plotnitsky is a Distinguished Professor of the Literature, Theory, and Cultural Studies program, and the Philosophy and Literature Program Purdue University. He has authored 9 books, and edited or coedited 7 volumes of essays and journal issues, and published near 200 articles on continental philosophy, the philosophy of mathematics and science, and related subjects. His latest book is The Principles of Quantum Theory, from Planck’s Quantum to the Higgs Boson: The Nature of Quantum Reality and the Spirit of Copenhagen (Springer 2016) Emmanuel Haven holds the Alex Faseruk Chair in Financial Management at Memorial University in Canada. He has co-authored and co-edited several books which have been published notably with Cambridge University Press, Palgrave MacMillan and the Springer LNCS series. He published in a diverse set of areas ranging from finance; economic theory; operations research to physicsand applied mathematics. 

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