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Khrennikov A. Open Systems, Quantum Probability, and Logic for Quantum-like Modeling in Biology, Cognition, and Decision-Making. ENTROPY (BASEL, SWITZERLAND) 2023; 25:886. [PMID: 37372230 DOI: 10.3390/e25060886] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/20/2023] [Revised: 05/25/2023] [Accepted: 05/29/2023] [Indexed: 06/29/2023]
Abstract
The aim of this review is to highlight the possibility of applying the mathematical formalism and methodology of quantum theory to model behavior of complex biosystems, from genomes and proteins to animals, humans, and ecological and social systems. Such models are known as quantum-like, and they should be distinguished from genuine quantum physical modeling of biological phenomena. One of the distinguishing features of quantum-like models is their applicability to macroscopic biosystems or, to be more precise, to information processing in them. Quantum-like modeling has its basis in quantum information theory, and it can be considered one of the fruits of the quantum information revolution. Since any isolated biosystem is dead, modeling of biological as well as mental processes should be based on the theory of open systems in its most general form-the theory of open quantum systems. In this review, we explain its applications to biology and cognition, especially theory of quantum instruments and the quantum master equation. We mention the possible interpretations of the basic entities of quantum-like models with special interest given to QBism, as it may be the most useful interpretation.
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Affiliation(s)
- Andrei Khrennikov
- International Center for Mathematical Modeling in Physics and Cognitive Sciences, Linnaeus University, SE-351 95 Växjö, Sweden
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Surov IA. Quantum core affect. Color-emotion structure of semantic atom. Front Psychol 2022; 13:838029. [PMID: 36248471 PMCID: PMC9554469 DOI: 10.3389/fpsyg.2022.838029] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/17/2021] [Accepted: 08/08/2022] [Indexed: 12/04/2022] Open
Abstract
Psychology suffers from the absence of mathematically-formalized primitives. As a result, conceptual and quantitative studies lack an ontological basis that would situate them in the company of natural sciences. The article addresses this problem by describing a minimal psychic structure, expressed in the algebra of quantum theory. The structure is demarcated into categories of emotion and color, renowned as elementary psychological phenomena. This is achieved by means of quantum-theoretic qubit state space, isomorphic to emotion and color experiences both in meaning and math. In particular, colors are mapped to the qubit states through geometric affinity between the HSL-RGB color solids and the Bloch sphere, widely used in physics. The resulting correspondence aligns with the recent model of subjective experience, producing a unified spherical map of emotions and colors. This structure is identified as a semantic atom of natural thinking-a unit of affectively-colored personal meaning, involved in elementary acts of a binary decision. The model contributes to finding a unified ontology of both inert and living Nature, bridging previously disconnected fields of research. In particular, it enables theory-based coordination of emotion, decision, and cybernetic sciences, needed to achieve new levels of practical impact.
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Alodjants AP, Bazhenov AY, Khrennikov AY, Bukhanovsky AV. Mean-field theory of social laser. Sci Rep 2022; 12:8566. [PMID: 35595814 PMCID: PMC9123015 DOI: 10.1038/s41598-022-12327-w] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/29/2022] [Accepted: 05/09/2022] [Indexed: 12/03/2022] Open
Abstract
In this work we suggest a novel paradigm of social laser (solaser), which can explain such Internet inspired social phenomena as echo chambers, reinforcement and growth of information cascades, enhancement of social actions under strong mass media operation. The solaser is based on a well-known in quantum physics laser model of coherent amplification of the optical field. Social networks are at the core of the solaser model; we define them by means of a network model possessing power-law degree distribution. In the solaser the network environment plays the same role as the gain medium has in a physical laser device. We consider social atoms as decision making agents (humans or even chat bots), which possess two (mental) states and occupy the nodes of a network. The solaser establishes communication between the agents as absorption and spontaneous or stimulated emission of socially actual information within echo chambers, which mimic an optical resonator of a convenient (physical) laser. We have demonstrated that social lasing represents the second order nonequilibrium phase transition, which evokes the release of coherent socially stimulated information field represented with the order parameter. The solaser implies the formation of macroscopic social polarization and results in a huge social impact, which is realized by viral information cascades occurring in the presence of population imbalance (social bias). We have shown that decision making agents follow an adiabatically time dependent mass media pump, which acts in the network community reproducing various reliable scenarios for information cascade evolution. We have also shown that in contrast to physical lasers, due to node degree peculiarities, the coupling strength of decision making agents with the network may be enhanced [Formula: see text] times. It leads to a large increase of speed, at which a viral message spreads through a social media. In this case, the mass media pump supports additional reinforcement and acceleration of cascade growth. We have revealed that the solaser model in some approximations possesses clear links with familiar Ising and SIS (susceptible-infected-susceptible) models typically used for evaluating a social impact and information growth, respectively. However, the solaser paradigm can serve as a new platform for modelling temporal social events, which originate from "microscopic" (quantum-like) processes occurring in the society. Our findings open new perspectives for interdisciplinary studies of distributed intelligence agents behavior associated with information exchange and social impact.
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Affiliation(s)
| | - A Yu Bazhenov
- ITMO University, Kronverksky Av. 49, bldg. A, St. Petersburg, 197101, Russia
| | - A Yu Khrennikov
- International Center for Mathematical Modeling in Physics, Engineering, Economics, and Cognitive Science Linnaeus University, Vaxjo-Kalmar, 35195, Sweden.
| | - A V Bukhanovsky
- ITMO University, Kronverksky Av. 49, bldg. A, St. Petersburg, 197101, Russia
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Aerts D, Beltran L. A Planck Radiation and Quantization Scheme for Human Cognition and Language. Front Psychol 2022; 13:850725. [PMID: 35519629 PMCID: PMC9063007 DOI: 10.3389/fpsyg.2022.850725] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/08/2022] [Accepted: 02/22/2022] [Indexed: 11/13/2022] Open
Abstract
As a result of the identification of "identity" and "indistinguishability" and strong experimental evidence for the presence of the associated Bose-Einstein statistics in human cognition and language, we argued in previous work for an extension of the research domain of quantum cognition. In addition to quantum complex vector spaces and quantum probability models, we showed that quantization itself, with words as quanta, is relevant and potentially important to human cognition. In the present work, we build on this result, and introduce a powerful radiation quantization scheme for human cognition. We show that the lack of independence of the Bose-Einstein statistics compared to the Maxwell-Boltzmann statistics can be explained by the presence of a 'meaning dynamics," which causes words to be attracted to the same words. And so words clump together in the same states, a phenomenon well known for photons in the early years of quantum mechanics, leading to fierce disagreements between Planck and Einstein. Using a simple example, we introduce all the elements to get a better and detailed view of this "meaning dynamics," such as micro and macro states, and Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac numbers and weights, and compare this example and its graphs, with the radiation quantization scheme of a Winnie the Pooh story, also with its graphs. By connecting a concept directly to human experience, we show that entanglement is a necessity for preserving the "meaning dynamics" we identified, and it becomes clear in what way Fermi-Dirac addresses human memory. Within the human mind, as a crucial aspect of memory, in spaces with internal parameters, identical words can nevertheless be assigned different states and hence realize locally and contextually the necessary distinctiveness, structured by a Pauli exclusion principle, for human thought to thrive.
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Affiliation(s)
- Diederik Aerts
- Center Leo Apostel, Vrije Universiteit Brussel, Brussels, Belgium
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De Rerum (Incerta) Natura: A Tentative Approach to the Concept of “Quantum-like”. Symmetry (Basel) 2022. [DOI: 10.3390/sym14030480] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
In recent years, the term “quantum-like” has been increasingly used in different disciplines, including neurosciences, psychological and socio-economical disciplines, claiming that some investigated phenomena show “something” in common with quantum processes and, therefore, they can be modeled using a sort of quantum formalism. Thus, the increasing use of the term “quantum-like” calls for defining and sharing its meaning in order to adopt it properly and avoid possible misuse. There is a fil rouge linking both pre-Socratic and Eastern philosophies and quantum physics, suggesting an epistemological symmetry between them. In our opinion, the concept of “quantum-like” may be successfully applied to macroscopic phenomena and empirical sciences other than physics when the following two conditions are satisfied: (a) the behavior of the investigated phenomena show logical analogies with quantum phenomena; (b) it is possible to find a criterion of truth based on an experiential/scientific approach applied to a probabilistic model of description of the phenomena. This is only a first small step in the approach to the concept of “quantum-like”, which will hopefully be helpful in promoting further discussion and achieving a better definition.
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Khrennikov A. Order stability via Fröhlich condensation in bio, eco, and social systems: The quantum-like approach. Biosystems 2021; 212:104593. [PMID: 34973355 DOI: 10.1016/j.biosystems.2021.104593] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/08/2021] [Revised: 12/22/2021] [Accepted: 12/22/2021] [Indexed: 01/04/2023]
Abstract
Stability of social and behavioural order in biological, ecological, and social systems is modelled within the formalism of the Fröhlich condensation. The latter is a high temperature analogue of the Bose-Einstein condensation and stability is approached via intensive pumping of energy into a system interacting with a bath. We start with the review of this formalism considering nonequilibrium thermodynamic and quantum frameworks. Although Fröhlich applied this formalism to bio-systems and the physical energy flows (electromagnetic, chemical, vibrational), he pointed out on the possibility to apply it to wider class of systems. We realize this program by using quantum-like modelling in combination with the information approach to biological and social systems, by treating them as information processors and introducing the notion of social energy (with its versions, as, e.g., social and behavioural energy). This formalism is applied to modelling of social stability in the modern open society characterized by powerful flows of information and huge information reservoir based on internet, including the variety of social networks. Then, it is applied to modelling of coherent behaviour in herds and flocks with the illustrative example of wolf packs. The essence of the paper is extracting conditions for the Fröhlich condensation and reformulating them in the purely information framework.
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Affiliation(s)
- Andrei Khrennikov
- Linnaeus University, International Center for Mathematical Modeling in Physics and Cognitive Sciences, Växjö, SE-351 95, Sweden.
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Khrennikov A. Social Laser Model for the Bandwagon Effect: Generation of Coherent Information Waves. ENTROPY 2020; 22:e22050559. [PMID: 33286331 PMCID: PMC7517081 DOI: 10.3390/e22050559] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Subscribe] [Scholar Register] [Received: 04/29/2020] [Revised: 05/12/2020] [Accepted: 05/15/2020] [Indexed: 11/25/2022]
Abstract
During recent years our society has often been exposed to coherent information waves of high amplitudes. These are waves of huge social energy. Often they are of destructive character, a kind of information tsunami. However, they can also carry positive improvements in human society, as waves of decision-making matching rational recommendations of societal institutes. The main distinguishing features of these waves are their high amplitude, coherence (homogeneous character of social actions generated by them), and short time needed for their generation and relaxation. Such waves can be treated as large-scale exhibitions of the bandwagon effect. We show that this socio-psychic phenomenon can be modeled based on the recently developed social laser theory. This theory can be used to model stimulated amplification of coherent social actions. “Actions” are treated very generally, from mass protests to votes and other collective decisions, such as, e.g., acceptance (often unconscious) of some societal recommendations. In this paper, we concentrate on the theory of laser resonators, physical vs. social. For the latter, we analyze in detail the functioning of Internet-based echo chambers. Their main purpose is increasing of the power of the quantum information field as well as its coherence. Of course, the bandwagon effect is well known and well studied in social psychology. However, social laser theory gives the possibility to model it by using general formalism of quantum field theory. The paper contains the minimum of mathematics and it can be read by researchers working in psychological, cognitive, social, and political sciences; it might also be interesting for experts in information theory and artificial intelligence.
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Affiliation(s)
- Andrei Khrennikov
- International Center for Mathematical Modeling in Physics and Cognitive Sciences, Linnaeus University, SE-351 95 Växjö, Sweden
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Application of Theory of Quantum Instruments to Psychology: Combination of Question Order Effect with Response Replicability Effect. ENTROPY 2019; 22:e22010037. [PMID: 33285812 PMCID: PMC7516459 DOI: 10.3390/e22010037] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Subscribe] [Scholar Register] [Received: 12/11/2019] [Revised: 12/21/2019] [Accepted: 12/22/2019] [Indexed: 11/17/2022]
Abstract
Recently, quantum formalism started to be actively used outside of quantum physics: in psychology, decision-making, economics, finances, and social science. Human psychological behavior is characterized by a few basic effects; one of them is the question order effect (QOE). This effect was successfully modeled (Busemeyer–Wang) by representing questions A and B by Hermitian observables and mental-state transformations (back action of answering) by orthogonal projectors. However, then it was demonstrated that such representation cannot be combined with another psychological effect, known as the response replicability effect (RRE). Later, this no-go result was generalized to representation of questions and state transformations by quantum instruments of the atomic type. In light of these results, the possibility of using quantum formalism in psychology was questioned. In this paper, we show that, nevertheless, the combination of the QOE and RRE can be modeled within quantum formalism, in the framework of theory of non-atomic quantum instruments.
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Quantum Probability and Randomness. ENTROPY 2019; 21:e21010035. [PMID: 33266751 PMCID: PMC7514139 DOI: 10.3390/e21010035] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Key Words] [Track Full Text] [Download PDF] [Subscribe] [Scholar Register] [Received: 01/02/2019] [Accepted: 01/03/2019] [Indexed: 11/27/2022]
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