lnu.sePublications
Change search
Link to record
Permanent link

Direct link
BETA
Publications (10 of 417) Show all publications
Bagarello, F., Basieva, I. & Khrennikov, A. (2018). Quantum field inspired model of decision making: Asymptotic stabilization of belief state via interaction with surrounding mental environment. Journal of mathematical psychology (Print), 82, 159-168
Open this publication in new window or tab >>Quantum field inspired model of decision making: Asymptotic stabilization of belief state via interaction with surrounding mental environment
2018 (English)In: Journal of mathematical psychology (Print), ISSN 0022-2496, E-ISSN 1096-0880, Vol. 82, p. 159-168Article in journal (Refereed) Published
Abstract [en]

This paper is devoted to a justification of quantum-like models of the process of decision making based on the theory of open quantum systems, i.e. decision making is considered as decoherence. This process is modeled as interaction of a decision maker, Alice, with a mental (information) environment R, surrounding her. Such an interaction generates "dissipation of uncertainty" from Alice's belief-state rho(t) into R, and asymptotic stabilization of rho(t) to a steady belief-state. The latter is treated as the decision state. Mathematically the problem under study is about finding constraints on 72, guaranteeing such stabilization. We found a partial solution of this problem (in the form of sufficient conditions). We present the corresponding decision making analysis for one class of mental environments, the so-called "almost homogeneous environments", with the illustrative examples: (a) behavior of electorate interacting with the mass-media "reservoir"; (b) consumers' persuasion. We also comment on other classes of mental environments. (C) 2017 Elsevier Inc. All rights reserved.

Place, publisher, year, edition, pages
Academic Press, 2018
Keyword
Decision making, Quantum-like model, Mental (information) environment, Open quantum systems, Dissipation of uncertainty, Voters' behavior, Consumers' persuasion
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-72692 (URN)10.1016/j.jmp.2017.10.002 (DOI)000428361300013 ()
Available from: 2018-04-13 Created: 2018-04-13 Last updated: 2018-04-13Bibliographically approved
Khrennikov, A. (2018). Social laser model: from color revolutions to Brexit and election of Donald Trump. Paper presented at Congress of the World-Organisation-of-Systems-and-Cybernetics (WOSC), 2017, Univ Rome, Fac Econ Sapienza, Dept Management, Rome, ITALY. Kybernetes, 47(2), 273-288
Open this publication in new window or tab >>Social laser model: from color revolutions to Brexit and election of Donald Trump
2018 (English)In: Kybernetes, ISSN 0368-492X, E-ISSN 1758-7883, Vol. 47, no 2, p. 273-288Article in journal (Refereed) Published
Abstract [en]

Purpose - This paper aims to present the basic assumptions for creation of social lasers and attract attention of other researchers (both from physics and socio-political science) to the problem of modeling of Stimulated Amplification of Social Actions (SASA). Design/methodology/approach - The model of SASA and its analysis are based on the mathematical formalism of quantum thermodynamics and field theory (applied outside of physics). Findings - The presented quantum-like model provides the consistent operational model of such complex socio-political phenomenon as SASA. Research limitations/implications - The model of SASA is heavily based on the use of the notion of social energy. This notion has not yet been formalized. Practical implications - Evidence of SASA ("functioning of social lasers") is rapidly accumulating, from color revolutions to such democratically structured protest actions as Brexit and the recent election of Donald Trump as the President of the USA. The corresponding socio-political studies are characterized by diversity of opinions and conclusions. The presented social laser model can be used to clarify these complex sociopolitical events and even predict their possibility. Social implications - SASA is the powerful source of social instability. Understanding its informational structure and origin may help to stabilize the modern society. Originality/value - Application of the quantum-like model of laser technology in social and political sciences is really a novel and promising approach.

Place, publisher, year, edition, pages
Emerald Group Publishing Limited, 2018
Keyword
Bose-Einstein and Fermi-Dirac statistics, Information field, Quantum field theory, Quantum thermodynamics, Social energy, Stimulated amplification of social actions
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-71226 (URN)10.1108/K-03-2017-0101 (DOI)000424477400004 ()
Conference
Congress of the World-Organisation-of-Systems-and-Cybernetics (WOSC), 2017, Univ Rome, Fac Econ Sapienza, Dept Management, Rome, ITALY
Available from: 2018-03-02 Created: 2018-03-02 Last updated: 2018-03-02Bibliographically approved
Khrennikov, A. & Yurova, E. (2018). Subcoordinate Representation of p-adic Functions and Generalization of Hensel Lemma. Izvestiya. Mathematics, 82(2)
Open this publication in new window or tab >>Subcoordinate Representation of p-adic Functions and Generalization of Hensel Lemma
2018 (English)In: Izvestiya. Mathematics, ISSN 1064-5632, E-ISSN 1468-4810, Vol. 82, no 2Article in journal (Refereed) In press
Place, publisher, year, edition, pages
Institute of Physics (IOP), 2018
National Category
Other Mathematics
Identifiers
urn:nbn:se:lnu:diva-61501 (URN)10.1070/IM8578 (DOI)
Available from: 2017-03-21 Created: 2017-03-21 Last updated: 2018-04-12
Khrennikov, A. (2018). Towards Better Understanding QBism. Foundations of Science, 23(1), 181-195
Open this publication in new window or tab >>Towards Better Understanding QBism
2018 (English)In: Foundations of Science, ISSN 1233-1821, E-ISSN 1572-8471, Vol. 23, no 1, p. 181-195Article in journal (Refereed) Published
Abstract [en]

Recently I posted a paper entitled "External observer reflections on QBism". As any external observer, I was not able to reflect all features of QBism properly. The comments I received from one of QBism's creators, C. A. Fuchs, were very valuable to me in better understanding the views of QBists. Some of QBism's features are very delicate and extracting them from articles of QBists is not a simple task. Therefore, I hope that the second portion of my reflections on QBism (or, strictly speaking, my reflections on Fuchs reflections on my earlier reflections) might be interesting and useful for other experts in quantum foundations and quantum information theory (especially, taking into account my previous aggressively anti-QBism position). In the present paper I correct some of my earlier posted critical comments on QBism. At the same time, other critical comments gained new validation through my recent deeper understanding of QBists views on a number of problems.

Place, publisher, year, edition, pages
Springer, 2018
Keyword
Quantum Bayesianism, Växjö interpretation, Formula of total probability, Interference of probability, Classical Bayesian physics, Universal agent
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-72025 (URN)10.1007/s10699-017-9524-0 (DOI)000426932100013 ()
Available from: 2018-03-29 Created: 2018-03-29 Last updated: 2018-03-29Bibliographically approved
Haven, E. & Khrennikov, A. (2017). A brief introduction to quantum formalism. In: Emmanuel Haven, Andrei Khrennikov (Ed.), The Palgrave Handbook of Quantum Models in Social Science: Applications and Grand Challenges (pp. 1-17). Palgrave Macmillan
Open this publication in new window or tab >>A brief introduction to quantum formalism
2017 (English)In: The Palgrave Handbook of Quantum Models in Social Science: Applications and Grand Challenges / [ed] Emmanuel Haven, Andrei Khrennikov, Palgrave Macmillan, 2017, p. 1-17Chapter in book (Other academic)
Abstract [en]

The authors present briefly the basic notions of the quantum formalism: pure and mixed states; quantum observables; quantum probability; Born’s rule, superposition, and ‘state collapse’; the projection postulate (von Neumann–Lüders postulate); Dirac’s ket and bra-vector notations; elements of quantum information theory and quantum logic; Schrödinger’s and von Neumann’s equations; unitary dynamics; and positive operator valued measures. They also define the basic mathematical notions related to the quantum formalism: Hilbert space; scalar product; norm; Hermitian operator (matrix); projector; and unitary operator and adjoint operator. This chapter may be useful for newcomers to the field, but for those readers who have preliminary knowledge about quantum mechanics (QM) they can proceed directly to advanced chapters.

Place, publisher, year, edition, pages
Palgrave Macmillan, 2017
National Category
Probability Theory and Statistics
Research subject
Mathematics, Applied Mathematics
Identifiers
urn:nbn:se:lnu:diva-64655 (URN)10.1057/978-1-137-49276-0_1 (DOI)2-s2.0-85018946665 (Scopus ID)9781137492760 (ISBN)9781137492753 (ISBN)
Available from: 2017-06-02 Created: 2017-06-02 Last updated: 2017-06-27Bibliographically approved
Asano, M., Khrennikov, A., Ohya, M. & Tanaka, Y. (2017). A hysteresis effect on optical illusion and non-Kolmogorovian probability theory. In: White Noise Analysis and Quantum Information: (pp. 201-213). World Scientific, 34
Open this publication in new window or tab >>A hysteresis effect on optical illusion and non-Kolmogorovian probability theory
2017 (English)In: White Noise Analysis and Quantum Information, World Scientific, 2017, Vol. 34, p. 201-213Chapter in book (Refereed)
Abstract [en]

In this study, we discuss a non-Kolmogorovness of the optical illusion in the human visual perception. We show subjects the ambiguous figure of "Schröeder stair", which has two different meanings [1]. We prepare 11 pictures which are inclined by different angles. The tendency to answer "left side is front" depends on the order of showing those pictures. For a mathematical treatment of such a context dependent phenomena, we propose a non-Kolmogorovian probabilistic model which is based on adaptive dynamics.

Place, publisher, year, edition, pages
World Scientific, 2017
Series
Lecture Notes Series, Institute for Mathematical Science, National Univeristy of Singapore ; 34
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
urn:nbn:se:lnu:diva-72077 (URN)10.1142/9789813225466_0015 (DOI)978-981-3225-45-9 (ISBN)978-981-3225-47-3 (ISBN)
Available from: 2018-04-03 Created: 2018-04-03 Last updated: 2018-04-05Bibliographically approved
Bagarello, F., Haven, E. & Khrennikov, A. (2017). A model of adaptive decision-making from representation of information environment by quantum fields. Philosophical Transactions. Series A: Mathematical, physical, and engineering science, 375(2106), Article ID 20170162.
Open this publication in new window or tab >>A model of adaptive decision-making from representation of information environment by quantum fields
2017 (English)In: Philosophical Transactions. Series A: Mathematical, physical, and engineering science, ISSN 1364-503X, E-ISSN 1471-2962, Vol. 375, no 2106, article id 20170162Article in journal (Refereed) Published
Abstract [en]

We present the mathematical model of decisionmaking (DM) of agents acting in a complex and uncertain environment (combining huge variety of economical, financial, behavioural and geopolitical factors). To describe interaction of agents with it, we apply the formalism of quantum field theory (QTF). Quantum fields are a purely informational nature. The QFT model can be treated as a far relative of the expected utility theory, where the role of utility is played by adaptivity to an environment (bath). However, this sort of utility- adaptivity cannot be represented simply as a numerical function. The operator representation in Hilbert space is used and adaptivity is described as in quantum dynamics. We are especially interested in stabilization of solutions for sufficiently large time. The outputs of this stabilization process, probabilities for possible choices, are treated in the framework of classical DM. To connect classical and quantum DM, we appeal to Quantum Bayesianism. We demonstrate the quantumlike interference effect in DM, which is exhibited as a violation of the formula of total probability, and hence the classical Bayesian inference scheme. This article is part of the themed issue 'Second quantum revolution: foundational questions'.

Keyword
decision-making, ladder and number operators, game theory
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-68548 (URN)10.1098/rsta.2017.0162 (DOI)000412179900015 ()
Available from: 2017-11-01 Created: 2017-11-01 Last updated: 2017-11-01Bibliographically approved
Asano, M., Basieva, I., Khrennikov, A. & Yamato, I. (2017). A model of differentiation in quantum bioinformatics. Progress in Biophysics and Molecular Biology, 130, 88-98
Open this publication in new window or tab >>A model of differentiation in quantum bioinformatics
2017 (English)In: Progress in Biophysics and Molecular Biology, ISSN 0079-6107, E-ISSN 1873-1732, Vol. 130, p. 88-98Article, review/survey (Refereed) Published
Abstract [en]

Differentiation is a universal process found in various phenomena of nature. As seen in the example of cell differentiation, the creation diversity on individual's character is caused by environmental interactions. In this paper, we try to explain its mechanism, which has been discussed mainly in Biology, by using the formalism of quantum physics. Our approach known as quantum bioinformatics shows that the temporal change of statistical state called decoherence fits to describe non-local phenomena like differentiation. (C) 2017 Elsevier Ltd. All rights reserved.

Place, publisher, year, edition, pages
Elsevier, 2017
Keyword
Differentiation, Quantum-like approach, Decoherence process
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-70576 (URN)10.1016/j.pbiomolbio.2017.05.013 (DOI)000423002900010 ()28579516 (PubMedID)
Available from: 2018-02-07 Created: 2018-02-07 Last updated: 2018-02-07Bibliographically approved
Asano, M., Basieva, I., Khrennikov, A., Ohya, M. & Tanaka, Y. (2017). A quantum-like model of selection behavior. Journal of mathematical psychology (Print), 78, 2-12
Open this publication in new window or tab >>A quantum-like model of selection behavior
Show others...
2017 (English)In: Journal of mathematical psychology (Print), ISSN 0022-2496, E-ISSN 1096-0880, Vol. 78, p. 2-12Article in journal (Refereed) Published
Abstract [en]

In this paper, we introduce a new model of selection behavior under risk that describes an essential cognitive process for comparing values of objects and making a selection decision. This model is constructed by the quantum-like approach that employs the state representation specific to quantum theory, which has the mathematical framework beyond the classical probability theory. We show that our quantum approach can clearly explain the famous examples of anomalies for the expected utility theory, the Ellsberg paradox, the Machina paradox and the disparity between WTA and WTP. Further, we point out that our model mathematically specifies the characteristics of the probability weighting function and the value function, which are basic concepts in the prospect theory. (C) 2016 Elsevier Inc. All rights reserved.

Keyword
Prospect theory, Ellsberg paradox, Machina paradox, WTA and WTP, Quantum-like approach
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-66896 (URN)10.1016/j.jmp.2016.07.006 (DOI)000403636800002 ()
Available from: 2017-07-12 Created: 2017-07-12 Last updated: 2018-05-16Bibliographically approved
Khrennikov, A. (2017). After Bell. Paper presented at Conference on Frontiers of Quantum and Mesoscopic Thermodynamics (FQMT), JUL 27-AUG 01, 2015, Prague, CZECH REPUBLIC. Fortschritte der Physik, 65(6-8), Article ID 1600044.
Open this publication in new window or tab >>After Bell
2017 (English)In: Fortschritte der Physik, ISSN 0015-8208, E-ISSN 1521-3978, Vol. 65, no 6-8, article id 1600044Article in journal (Refereed) Published
Abstract [en]

We analyze foundational consequences of recently reported loophole free tests of violation of Bell's inequality. We consider two interpretations of these remarkable experiments. The conventional one is Einstein was wrong and Bohr was right, there is spooky action at a distance, quantum realism is incompatible with locality. However, in line with discussions in literature during last decade, we show that it is still possible to treat quantum mechanics without appealing to nonlocality or denying realism. We hope that this note will call the attention of experts in quantum foundations and convince them that the case is not closed, so that they should come with their own comments on the status of the final Bell test.

Place, publisher, year, edition, pages
Wiley-VCH Verlagsgesellschaft, 2017
Keyword
Bell inequality, loophole free test, interpretations
National Category
Physical Sciences Mathematics
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-66898 (URN)10.1002/prop.201600044 (DOI)000403351700014 ()
Conference
Conference on Frontiers of Quantum and Mesoscopic Thermodynamics (FQMT), JUL 27-AUG 01, 2015, Prague, CZECH REPUBLIC
Available from: 2017-07-12 Created: 2017-07-12 Last updated: 2017-07-12Bibliographically approved
Organisations
Identifiers
ORCID iD: ORCID iD iconorcid.org/0000-0002-9857-0938

Search in DiVA

Show all publications