From Quantum Axiomatics to Quantum Conceptuality

@article{Aerts2019FromQA,
  title={From Quantum Axiomatics to Quantum Conceptuality},
  author={Diederik Aerts and Massimiliano Sassoli de Bianchi and Sandro Sozzo and Tom{\'a}s Veloz},
  journal={Activitas Nervosa Superior},
  year={2019},
  volume={61},
  pages={76-82}
}
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… 
A Planck Radiation and Quantization Scheme for Human Cognition and Language
TLDR
It is shown 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.
Are Words the Quanta of Human Language? Extending the Domain of Quantum Cognition
TLDR
It is shown that it is the presence of ‘meaning’ in ‘texts that tell a story’ that gives rise to the lack of independence characteristic of Bose–Einstein, and provides conclusive evidence that ‘words can be considered the quanta of human language’, structurally similar to how ‘photons are theQuanta of electromagnetic radiation’.
Quantum Structure in Cognition: Human Language as a Boson Gas of Entangled Words
TLDR
It is conjecture that the way one can easily understand how two of ‘the same concepts’ are ‘absolutely identical and indistinguishable’ in human language is also the way in which quantum particles are absolutely identical in physical reality, providing new evidence for the conceptuality interpretation of quantum theory.
Human Language: A Boson Gas of Quantum Entangled Cognitons
TLDR
It is conjecture that the way one can easily understand how two 'the same concepts' are 'absolutely identical and indistinguishable' in human language is also the way in which quantum particles are absolutely identical and inseparable in physical reality, providing new evidence for the conceptuality interpretation of quantum theory.

References

SHOWING 1-10 OF 73 REFERENCES
On the Conceptuality Interpretation of Quantum and Relativity Theories
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
On the Foundations of the Brussels Operational-Realistic Approach to Cognition
TLDR
The theoretical foundations of the quantum approach to cognition that is developed in Brussels are provided, and the recently derived `extended Bloch representation' of quantum theory precisely provides such extended formalism, while remaining within the same unitary interpretative framework.
A Potentiality and Conceptuality Interpretation of Quantum Physics
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
On the Origin of Probabilities in Quantum Mechanics: Creative and Contextual Aspects
At the beginning of this century, a lot of changes as well in the field of politics, art and sciences have led to a change of paradigms and ways in which people think and interact ‘(the/their)
Quantum theory and human perception of the macro-world
TLDR
It remains a possibility that standard quantum theory is an incomplete theory, and hence incapable of coping ultimately with separated entities, meaning that a more general theory will be needed.
Quantum Models of Cognition and Decision
TLDR
The foundations for modelling probabilistic-dynamic systems using two aspects of quantum theory, 'contextuality' and 'quantum entanglement', are introduced, which allow cognitive phenomena to be modeled in non-reductionist ways.
A Quantum Structure Description of the Liar Paradox
TLDR
An approach is proposed that models the truth behavior of cognitive entities by taking into account in a very explicit way the possible influence of the cognitive person (the one that interactswith the considered cognitive entity) by using the mathematical formalism of quantumMechanics.
Quantum Particles as Conceptual Entities: A Possible Explanatory Framework for Quantum Theory
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
Contextualizing concepts using a mathematical generalization of the quantum formalism
We outline the rationale and preliminary results of using the state context property (SCOP) formalism, originally developed as a generalization of quantum mechanics, to describe the contextual manner
...
...