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From Quantum Axiomatics to Quantum Conceptuality

Diederik Aerts, Massimiliano Sassoli de Bianchi, Sandro Sozzo, Tomás Veloz

Published Apr 10, 2019• 4 citations
OpenAlex

Abstract

Since its inception, many physicists have seen in quantum mechanics the possibility, if not the necessity, of bringing cognitive aspects into the play, which were instead absent, or unnoticed, in the previous classical theories. In this article, we outline the path that led us to support the hypothesis that our physical reality is fundamentally conceptual-like and cognitivistic-like. However, contrary to the 'abstract ego hypothesis' introduced by John von Neumann and further explored, in more recent times, by Henry Stapp, our approach does not rely on the measurement problem as expressing a possible 'gap in physical causation', which would point to a reality lying beyond the mind-matter distinction. On the contrary, in our approach the measurement problem is considered to be essentially solved, at least for what concerns the origin of quantum probabilities, which we have reasons to believe they would be epistemic. Our conclusion that conceptuality and cognition would be an integral part of all physical processes comes instead from the observation of the striking similarities between the non-spatial behavior of the quantum micro-physical entities and that of the human concepts. This gave birth to a new interpretation of quantum mechanics, called the 'conceptualistic interpretation', currently under investigation within our group in Brussels.

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Since its inception, many physicists have seen in quantum mechanics the possibility, if not the necessity, of bringing cognitive aspects into the play, which were instead absent, or unnoticed, in the previous classical theories. In this article, we outline the path that led us to support the hypothesis that our physical reality is fundamentally conceptual-like and cognitivistic-like. However, contrary to the 'abstract ego hypothesis' introduced by John von Neumann and further explored, in more recent times, by Henry Stapp, our approach does not rely on the measurement problem as expressing a possible 'gap in physical causation', which would point to a reality lying beyond the mind-matter distinction. On the contrary, in our approach the measurement problem is considered to be essentially solved, at least for what concerns the origin of quantum probabilities, which we have reasons to believe they would be epistemic. Our conclusion that conceptuality and cognition would be an integral part of all physical processes comes instead from the observation of the striking similarities between the non-spatial behavior of the quantum micro-physical entities and that of the human concepts. This gave birth to a new interpretation of quantum mechanics, called the 'conceptualistic interpretation', currently under investigation within our group in Brussels.
The conceptuality interpretation of quantum mechanics proposes that quantum entities have a conceptual nature, interacting with the material world through processes that are the physical counterpart of the meaning-based processes, which typically occur in human cognition. This interpretation emerged from the early developments in quantum cognition , a field that uses quantum mathematics to model human cognitive activity. It benefited from the specific approach taken by the Brussels research group , modelling concepts themselves as quantum entities and minds as measuring apparatus. The article sketches the essential steps of the intellectual journey, going from the first applications of quantum notions and formalisms to human cognition to the proposal of a potentially groundbreaking interpretation of quantum mechanics, offering profound explanations for major quantum phenomena. This was done by drawing numerous parallels with the human conceptual domain and suggesting the existence of a level of cognitive activity that would underlie our physical reality. This means that an increased cross-fertilization between the conceptuality interpretation and quantum cognition is to be expected in the future, both of which are synergistic in furthering our understanding of the nature of reality. This is the first part of a two-part article. In the second part, which can be read independently of the first, the successes of the interpretation will be described in a more systematic way, providing a brief overview of what has been achieved so far. This article is part of the theme issue ‘Quantum theory and topology in models of decision making (Part 1)’.
We elaborate on a new interpretation of quantum mechanics which we introduced recently.The main hypothesis of this new interpretation is that quantum particles are entities interacting with matter conceptually, which means that pieces of matter function as interfaces for the conceptual content carried by the quantum particles.We explain how our interpretation was inspired by our earlier analysis of non-locality as non-spatiality and a specific interpretation of quantum potentiality, which we illustrate by means of the example of two interconnected vessels of water.We show by means of this example that philosophical realism is not in contradiction with the recent findings with respect to Leggett's inequalities and their violations.We explain our recent work on using the quantum formalism to model human concepts and their combinations and how this has given rise to the foundational ideas of our new quantum interpretation.We analyze the equivalence of meaning in the realm of human concepts and coherence in the realm of quantum particles, and how the duality of abstract and concrete leads naturally to a Heisenberg uncertainty relation.We illustrate the role played by interference and entanglement and show how the new interpretation explains the problems related to identity and individuality in quantum mechanics.We put forward a possible scenario for the emergence of the reality of macroscopic objects.
We put forward a possible new interpretation and explanatory framework for quantum theory. The basic hypothesis underlying this new framework is that quantum particles are conceptual entities. More concretely, we propose that quantum particles interact with ordinary matter, nuclei, atoms, molecules, macroscopic material entities, measuring apparatuses,..., in a similar way to how human concepts interact with memory structures, human minds or artificial memories. We analyze the most characteristic aspects of quantum theory, i.e. entanglement and non-locality, interference and superposition, identity and individuality in the light of this new interpretation, and we put forward a specific explanation and understanding of these aspects. The basic hypothesis of our framework gives rise in a natural way to a Heisenberg uncertainty principle which introduces an understanding of the general situation of ‘the one and the many ’ in quantum physics. A specific view on macro and micro different from the common one follows from the basic hypothesis and leads to an analysis of Schrödinger’s Cat paradox and the measurement problem different from the existing ones. We reflect about the influence of this new quantum interpretation and explanatory framework on the global nature and evolutionary aspects of the world and human worldviews, and point out potential explanations for specific situations, such as the generation problem in particle physics, the confinement of quarks and the existence of dark matter. 1
We argue that the conceptuality interpretation of quantum theory supports a radical form of pancognitivism, which we call quantum pancognitivism, according to which matter is not cognitively inert. After distinguishing pancognitivism from panpsychism and situating it in relation to contemporary approaches to generalized cognition, we propose that quantum entities can be understood as conceptual entities whose behavior involves contextuality, the actualization of potential properties, and the creation of emergent meaning. Drawing on quantum cognition and the Brussels operational-realistic approach, we suggest that quantum theory may describe not only microscopic physical processes, but also more general dynamics governed by meaning. We further develop this view by considering the bosonic-fermionic dual-track modality of conceptual entities: at a more concrete fermionic level, cognition manifests through exclusive placeholder-states that allow communication and state-based individuality, whereas at a more abstract bosonic level it operates through shared semantic states, potentiality, and global meaning structures. On this view, cognition is not restricted to brains, organisms, or artificial systems, but expresses a structural dimension of reality. Quantum pancognitivism does not claim that matter is conscious or thinks like a human being; rather, it proposes that cognition is already operative at the level of so-called inert matter.
An overview of the conceptuality interpretation of quantum mechanics is presented, along with an explanation of how it sheds light on key quantum and relativistic phenomena. In particular, we show how the interpretation clarifies Heisenberg's uncertainty principle, wave function-based and entanglement-based non-locality, interference effects resulting from the superposition principle, delayed choice experiments, quantum measurements, the mechanism of quantization, the reason why entities can establish entanglement bonds and the statistical behaviour of indistinguishable entities. We further argue that the interpretation can also elucidate relativistic effects, focusing on time dilation. Finally, we suggest that it can provide a novel and challenging perspective on evolution. This article is the second in a two-part series devoted to exploring this promising approach to reality. The first part, which serves as a companion to this discussion, outlines the intellectual trajectory leading from the first applications of quantum notions to human cognition to the bold rethinking suggested by the conceptuality interpretation.This article is part of the theme issue 'Quantum theory and topology in models of decision making (Part 1)'.
Contemporary physics finds itself pondering questions about mind and consciousness, an uncomfortable area for theorists. But historically, key figures at the founding of quantum theory assumed that reality was composed of two parts, mind and matter, which interacted with each other according to some new laws that they specified. This departure from the prior (classical-physicalist) assumption that mind was a mere side effect of brain activity was such a startling proposal that it basically split physics in two, with one camp insisting that mind will ultimately be explained via physical processes in the brain and the other camp embracing mind as innate in creation and the key to understanding reality in its completeness. Henry Stapp made important contributions toward a coherent explanation by advocating John von Neumann’s orthodox interpretation of quantum mechanics. von Neumann postulated that at its basis, quantum mechanics requires both a psychological and physical component. He was left, however, with a dualist view in which the psychological and physical aspects of QM remained unresolved. In this article, the relevant issues are laid out with the aim of finding a nondual explanation that allows mind and matter to exist as features of the same universal consciousness, in the hope that the critical insights of Planck, Heisenberg, Schrödinger, von Neumann, and Stapp will be recognized and valued, with the aim of an expanded physics that goes beyond physicalist dogma.