Consciousness in the Light of Quantum Theory
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Quantum Cognitive Triad. Semantic Geometry of Context Representation
Preprints (www.preprints.org) | NOT PEER-REVIEWED | Posted: 24 February 2020 doi:10.20944/preprints202002.0338.v1 Quantum Cognitive Triad. Semantic geometry of context representation Ilya A. Surov February 22, 2020 Abstract The paper describes an algorithm for cognitive representation of triples of related behavioral contexts two of which correspond to mu- tually exclusive states of some binary situational factor while uncer- tainty of this factor is the third context. The contexts are mapped to vector states in the two-dimensional quantum Hilbert space describ- ing a dichotomic decision alternative in relation to which the contexts are subjectively recognized. The obtained triad of quantum cogni- tive representations functions as a minimal carrier of semantic rela- tions between the contexts, which are quantified by phase relations between the corresponding quantum representation states. The de- scribed quantum model of subjective semantics supports interpretable vector calculus which is geometrically visualized in the Bloch sphere view of quantum cognitive states. 1 Introduction 1.1 Progress of psychology Since antiquity, psychology made a progress in understanding of human na- ture, including basic motivations of behavioral and cognitive activity [Freud, 1923, Adler, 1923], traits of perception and thinking [James, 1890, Kahneman, 2011], classification of personalities [Jung, 1921, Bukalov et al., 1999] and system- atization of unconscious cognition [Lacan, 1998, Hopwood, 2014]. Although useful in many ways, the kind of descriptions used in the these works has a problem which casts doubts on scientific status of the psychology field as a whole: linguistic categories it is based upon have no quantitative ex- pression and as such are subject to voluntary interpretation [Ferguson, 2012, 1 © 2020 by the author(s). -
Quantum-Like Modeling of Cognition
REVIEW published: 22 September 2015 doi: 10.3389/fphy.2015.00077 Quantum-like modeling of cognition Andrei Khrennikov * Department of Mathematics, Linnaeus University, Växjö, Sweden This paper begins with a historical review of the mutual influence of physics and psychology, from Freud’s invention of psychic energy inspired by von Boltzmann’ thermodynamics to the enrichment quantum physics gained from the side of psychology by the notion of complementarity (the invention of Niels Bohr who was inspired by William James), besides we consider the resonance of the correspondence between Wolfgang Pauli and Carl Jung in both physics and psychology. Then we turn to the problem of development of mathematical models for laws of thought starting with Boolean logic and progressing toward foundations of classical probability theory. Interestingly, the laws of classical logic and probability are routinely violated not only by quantum statistical phenomena but by cognitive phenomena as well. This is yet another common feature between quantum physics and psychology. In particular, cognitive data can exhibit a kind of the probabilistic interference effect. This similarity with quantum physics convinced a multi-disciplinary group of scientists (physicists, psychologists, economists, sociologists) Edited by: to apply the mathematical apparatus of quantum mechanics to modeling of cognition. Wei-Xing Zhou, East China University of Science and We illustrate this activity by considering a few concrete phenomena: the order and Technology, China disjunction effects, recognition of ambiguous figures, categorization-decision making. Reviewed by: In Appendix 1 of Supplementary Material we briefly present essentials of theory of Zhi-Qiang Jiang, contextual probability and a method of representations of contextual probabilities by East China University of Science and Technology, China complex probability amplitudes (solution of the “inverse Born’s problem”) based on a Qing Yun Wang, quantum-like representation algorithm (QLRA). -
John Von Neumann's “Impossibility Proof” in a Historical Perspective’, Physis 32 (1995), Pp
CORE Metadata, citation and similar papers at core.ac.uk Provided by SAS-SPACE Published: Louis Caruana, ‘John von Neumann's “Impossibility Proof” in a Historical Perspective’, Physis 32 (1995), pp. 109-124. JOHN VON NEUMANN'S ‘IMPOSSIBILITY PROOF’ IN A HISTORICAL PERSPECTIVE ABSTRACT John von Neumann's proof that quantum mechanics is logically incompatible with hidden varibales has been the object of extensive study both by physicists and by historians. The latter have concentrated mainly on the way the proof was interpreted, accepted and rejected between 1932, when it was published, and 1966, when J.S. Bell published the first explicit identification of the mistake it involved. What is proposed in this paper is an investigation into the origins of the proof rather than the aftermath. In the first section, a brief overview of the his personal life and his proof is given to set the scene. There follows a discussion on the merits of using here the historical method employed elsewhere by Andrew Warwick. It will be argued that a study of the origins of von Neumann's proof shows how there is an interaction between the following factors: the broad issues within a specific culture, the learning process of the theoretical physicist concerned, and the conceptual techniques available. In our case, the ‘conceptual technology’ employed by von Neumann is identified as the method of axiomatisation. 1. INTRODUCTION A full biography of John von Neumann is not yet available. Moreover, it seems that there is a lack of extended historical work on the origin of his contributions to quantum mechanics. -
Quantum Consciousness Theory Offers Not Just a Solution T
Author’s version, published in R. Gennaro ed. The Routledge Handbook of Consciousness. London: Routledge, 2018. Chapter 16 Quantum Theories of Consciousness Paavo Pylkkänen “…quantum consciousness theory offers not just a solution to the mind-body problem, or additionally, to the nature of life and of time… And it does not just solve the Agent-Structure and Explanation-Understanding problems, or explain quantum decision theory's success in predicting otherwise anomalous behavior. What the theory offers is all of these things and more, and with them a unification of physical and social ontology that gives the human experience a home in the universe. With its elegance … comes not just extraordinary explanatory power, but extraordinary meaning, which at least this situated observer finds utterly lacking in the classical worldview. … I hope I have given you reason to suspend your belief that we really are just classical machines, and thus to suspend your disbelief in quantum consciousness long enough to try assuming it in your work. If you do, perhaps you will find your own home in the universe too” (Alexander Wendt, Quantum Mind and Social Science, 2015: 293). 1. Introduction Much of contemporary philosophy of mind and cognitive neuroscience presupposes that the physical framework to use when explaining mind and consciousness is the framework of classical physics (and neurophysiological and/or computational processes embedded in this framework); it is typically assumed that no ideas from quantum theory or relativity theory are needed. Of course, not all theories of 1 consciousness are trying to reduce conscious experience to mechanistic physical interactions at the neural level, but this tacit commitment to the classical physics of Newton and Maxwell introduces a strong mechanistic element into contemporary theorizing about consciousness, at least whenever the theories make a reference to physical processes. -
Quantum-Like Bayesian Inference Technologies for Cognition and Decision
QuLBIT: Quantum-Like Bayesian Inference Technologies for Cognition and Decision Catarina Moreira1 ([email protected]) Matheus Hammes1 ([email protected]) Rasim Serdar Kurdoglu2 ([email protected]) Peter Bruza1 ([email protected]) 1School of Information Systems, Queensland University of Technology, Brisbane, Australia 2Faculty of Business Administration, Bilkent University, Ankara, Turkey Abstract what would be considered normatively correct ac- cording to logic or probability theory. This paper provides the foundations of a uni- fied cognitive decision-making framework (QulBIT) The field of Quantum Cognition emerged to re- which is derived from quantum theory. The main spond to this challenge, a major feature being the advantage of this framework is that it can cater use of quantum probability theory to model hu- for paradoxical and irrational human decision mak- ing. Although quantum approaches for cognition man cognition, including decision making (Buse- have demonstrated advantages over classical prob- meyer & Bruza, 2012). Quantum probability can abilistic approaches and bounded rationality mod- be viewed as generalisation of Bayesian probability els, they still lack explanatory power. To address this, we introduce a novel explanatory analysis of theory. In quantum-like cognitive models, events the decision-maker’s belief space. This is achieved are modelled as sub-spaces of a Hilbert spaces, by exploiting quantum interference effects as a way a vector space of complex numbers (amplitudes) of both quantifying and explaining the decision- maker’s uncertainty. We detail the main modules which enables the calculation of probabilities by of the unified framework, the explanatory analy- projection: performing the squared magnitude of sis method, and illustrate their application in situ- an amplitude. -
On the Conceptuality Interpretation of Quantum and Relativity Theories
On the Conceptuality Interpretation of Quantum and Relativity Theories Diederik Aerts1, Massimiliano Sassoli de Bianchi1;2, Sandro Sozzo3 and Tomas Veloz1;4 1 Center Leo Apostel for Interdisciplinary Studies, Brussels Free University Krijgskundestraat 33, 1160 Brussels, Belgium E-Mails: [email protected],[email protected] 2 Laboratorio di Autoricerca di Base, Lugano, Switzerland 3 School of Management and IQSCS, University of Leicester University Road, LE1 7RH Leicester, United Kingdom E-Mail: [email protected] 4 Instituto de Filosof´ıay Ciencias de la Complejidad IFICC, Los Alerces 3024, Nu~noa,~ Santiago, Chile E-Mail: [email protected] Abstract How can we explain the strange behavior of quantum and relativistic entities? Why do they behave in ways that defy our intuition about how physical entities should behave, considering our ordinary experience of the world around us? In this article, we address these questions by showing that the comportment of quantum and relativistic entities is not that strange after all, if we only consider what their nature might possibly be: not an objectual one, but a conceptual one. This not in the sense that quantum and relativistic entities would be human concepts, but in the sense that they would share with the latter a same conceptual nature, similarly to how electromagnetic and sound waves, although very different entities, can share a same undulatory nature. When this hypothesis is adopted, i.e., when a conceptuality interpretation about the deep nature of physical entities is taken seriously, many of the interpretational difficulties disappear and our physical world is back making sense, though our view of it becomes radically different from what our classical prejudice made us believe in the first place. -
David Bohm's Theory of the Implicate Order: Implications for Holistic Thought Processes*
ISSUES IN INTEGRATVE STUDIES No. 13, pp. 1-23 (1995) David Bohm's Theory of the Implicate Order: Implications for Holistic Thought Processes* by Irene J. Dabrowski, Ph.D. Division of Social Services, St. John's University, New York Abstract: David Bohm's theory of quantum physics, which focuses on the schism between matter and consciousness, is discussed in terms of positivist knowledge and the interdisciplinary holistic paradigm. This paper examines how scientific and educational holism, predicated on the relationship between knowledge and reality, fosters innovative approaches such as evolutionary learning, a pedagogical application of general systems theory. In pursuit of right- brain thought and a unified knowledge base, diverse modes of inquiry are presented in the context of Bohm's thesis of an implicate order. Given that holistic thought processes generate a reality-based knowledge, problem-solving styles are examined, which reveal the holistic orientation of proactive problem-solving. Interdisciplinary dialogue is identified as an essential way for moving toward holistic expressions and networks of thought. NEW VERSIONS of the sciences as well as other academic disciplines are being formulated in terms of a naturalistic mode of inquiry (Lincoln, 1989; Palm, 1979). The emergent post-positivist paradigm is directed toward a holistic conception of reality, replacing the Cartesian, mechanistic mode of conceptualization (Capra, 1982; Guba, 1981; Lincoln, 1989; Turner, 1990), In fact, characteristics of the "whole paradigm" are being identified in a variety of disciplines (Lincoln, 1989, p. 69). New dimensions include a refocusing from simple to complex realities, the movement from the mechanical to the holographic, and the emphasis from linear to mutual causality (Lincoln & Guba, 1985; Macy, 1991; Schwartz & Ogilvy, 1979). -
The Hidden- Variables Controversy in Quantum Physics
Phys Educ Vol 14, 1979 Prlnted in Great Brltaln CONTROVERSIESIN PHYSICS aggressiveness which resembles more the defence of orthodoxy of one ideology than a spirit of scientific objectivity’ (Jauch 1973, introduction). The hidden- ‘The entirely reasonable question, Are there hidden- variable theories consistent with quantum theory and variables if so whatare their characteristics?,has been unfortunately clouded by emotionalism’ (Ballentine controversy in 1970, p374). Perhaps some of the acrimonv which has surrounded this debate can be seen in the following quantum physics comment on the workof hidden-variable theorists made by Leon Rosenfeld, an eminent physicist and TREVOR J PINCH defender of the orthodoxview of quantum theory: Science Studies Centre, Universityof Bath ‘That suchirrational dogmatists shouldhurl the very accusation of irrationality and dogmatism at the defenders of the common-sense, uncommitted attitude of other scientists is the crowning paradox which gives Recent studies of controversies in science have shown a touch of comedy to a controversy so distressingly that they are not always settled by appeals to Nature pointless and untimely’ (Rosenfeld 1958, p658). alone. Social and political factors as well as scientific These are hardly the sorts of comments we would factors often combine to produce the outcome(see for expect to follow from unproblematicreadings of example Forman 1971, Collins 1975, Frankel 1976 Nature’s secrets. So what was at stake in this dispute? and Wynne 1976). The ‘truth’, it seems, emerges from To answer this question we need to go back to the whatcan be asurprisingly volatile struggle, very revolution in physics brought about by the develop- unlike the rarified atmosphere of noblesse within ment of quantum theoryin the 1920s. -
Quantum-Like Sampling
mathematics Article Quantum-Like Sampling Andreas Wichert Department of Informatics, INESC-ID/IST-University of Lisboa, 1000-029 Lisboa, Portugal; [email protected] Abstract: Probability theory is built around Kolmogorov’s axioms. To each event, a numerical degree of belief between 0 and 1 is assigned, which provides a way of summarizing the uncertainty. Kolmogorov’s probabilities of events are added, the sum of all possible events is one. The numerical degrees of belief can be estimated from a sample by its true fraction. The frequency of an event in a sample is counted and normalized resulting in a linear relation. We introduce quantum-like sampling. The resulting Kolmogorov’s probabilities are in a sigmoid relation. The sigmoid relation offers a better importability since it induces the bell-shaped distribution, it leads also to less uncertainty when computing the Shannon’s entropy. Additionally, we conducted 100 empirical experiments by quantum-like sampling 100 times a random training sets and validation sets out of the Titanic data set using the Naïve Bayes classifier. In the mean the accuracy increased from 78.84% to 79.46%. Keywords: quantum probabilities; sampling; quantum cognition; naïve bayes 1. Introduction Quantum algorithms are based on different principles than classical algorithm. Here we investigate a simple quantum-like algorithm that is motivated by quantum physics. The incapability between Kolmogorov’s probabilities and quantum probabilities results from the different norms that are used. In quantum probabilities the length of the vector in l2 Citation: Wichert, A. Quantum-Like norm representing the amplitudes of all events is one. -
Quantum Cognition and the Interpretation of the Fantastic in Neil Gaiman
DOI: 10.1515/aa-2016-0003 Mystery or not? Quantum cognition and the interpretation of the fantastic in Neil Gaiman Ivan Čipkár Ivan Čipkár is a PhD candidate at Palacký University in Olomouc and his work has been published in the Moravian Journal of Literature and Film. His current interest lies mainly in the field of cognitive literary studies (theory of mind applied to fiction; phenomenology of reader response) and he concerns himself with the creation of a new concept of universals in narrative reception. Abstract The present paper describes a reader-response experiment focusing on the perception of the genre of the fantastic. It also proposes an update of the genre’s structuralist definition to better conform to contemporary cognitive research. Participants answered questions relating to the interpretation of events and important symbols in a Neil Gaiman short story and were also asked if they considered the story “fantasy” or “realistic fiction.” Tzvetan Todorov characterized the fantastic as a hesitation between the uncanny (realistic interpretation) and the marvelous (supernatural interpretation). Neil Gaiman, a popular contemporary author of genre fiction, has utilized this hesitation between psychological and supernatural explanations of his stories to great effect. The results show a consistently higher degree of enjoyment in readers who were aware of the dual interpretation and partook in the hesitation. This paper also introduces the concept of quantum cognition into literary theory and explains the benefit of using terminology from this discipline in a reader-response context. The findings of this study could be the first step towards a better understanding of the different ways in which readers cognitively approach the fantastic or genre in general. -
Quantum Cognition
Quantum Cognition : A comment to the paper entitled : A More Realistic Quantum Mechanical Model of Conscious Perception During Binocularly rivalry by Mohammad Reza Paraan, Fatemeh Bakouie and Shahriar Gharibzadeh. Elio Conte To cite this version: Elio Conte. Quantum Cognition : A comment to the paper entitled : A More Realistic Quantum Mechanical Model of Conscious Perception During Binocularly rivalry by Mohammad Reza Paraan, Fatemeh Bakouie and Shahriar Gharibzadeh.: Quantum Cognition Analysis in Binocularly rivarly. 2015. insu-01170589 HAL Id: insu-01170589 https://hal-insu.archives-ouvertes.fr/insu-01170589 Preprint submitted on 2 Jul 2015 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Quantum Cognition : A comment to the paper entitled : A More Realistic Quantum Mechanical Model of Conscious Perception During Binocularly rivalry by Mohammad Reza Paraan, Fatemeh Bakouie and Shahriar Gharibzadeh. Elio Conte School of Advanced International Studies on Applied Theoretical and non Linear Methodologies of Physics, Bari, Italy Department of Basic -
Oppenheimer: a Life April 22, 1904-February 18, 1967
Oppenheimer: A Life April 22, 1904-February 18, 1967 an online centennial exhibit of J. Robert Oppenheimer http://ohst.berkeley.edu/oppenheimer/exhibit/ This print edition of the online exhibit is free for use, reproduction, and distribution for educational purposes as long as this cover page and the acknowlegments page are included. It may not be altered or sold. For other usage questions, please contact the Office for History of Science and Technology, Univer- sity of California, Berkeley, at http://ohst.berkeley.edu. All image copyrights are retained by their hold- ers. © 2004 by The Regents of the University of California. 1 Oppenheimer: A Life April 22, 1904-February 18, 1967 Introduction As Alice Kimball Smith and Charles Weiner have noted, “Part of Oppenheimer’s attraction, at first for his friends and later for the public, was that he did not project the popularly held image of the scientist as cold, objective, rational and therefore above human frailty, an image that scientists themselves fostered by underplaying their per- sonal histories and the disorder that precedes the neat scientific conclusion.” There is a cacophony of conflicting descriptions of Oppenheimer – as friends have remembered him, as historians have analyzed him. He has been labeled both warm and cold, friendly and condescending, affable as well as hurtful. Learning Sanskrit and cultivating the air of an aesthete, as a young professor he stretched the bounds of the scientist’s persona. Yet in the space of a decade, the otherworldly theorist was transformed into a political insider par excellence. His fellow scientists remembered him as a visionary and capable leader at Los Alamos, while his security hearing brought to light foolish mistakes in judgment and human relationships.