Quantum Bose-Einstein Statistics for Indistinguishable Concepts in Human Language

@article{Beltran2021QuantumBS,
  title={Quantum Bose-Einstein Statistics for Indistinguishable Concepts in Human Language},
  author={Lester Beltran},
  journal={ArXiv},
  year={2021},
  volume={abs/2103.15125}
}
We investigate the hypothesis that within a combination of a ‘number concept’ plus a ‘substantive concept’, such as ‘eleven animals’, the identity and indistinguishability present on the level of the concepts, i.e., all eleven animals are identical and indistinguishable, gives rise to a statistical structure of the Bose–Einstein type similar to how Bose–Einstein statistics is present for identical and indistinguishable quantum particles. We proceed by identifying evidence for this hypothesis by… 
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’.
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.

References

SHOWING 1-10 OF 42 REFERENCES
The Quantum Nature of Identity in Human Thought: Bose-Einstein Statistics for Conceptual Indistinguishability
TLDR
This paper investigates a new connection between concepts and quantum entities, namely the way both behave with respect to ‘identity’ and ‘indistinguishability’, by considering conceptual entities of the type Eleven Animals.
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.
Towards a Quantum World Wide Web
Modeling Meaning Associated with Documental Entities: Introducing the Brussels Quantum Approach
We show that the Brussels operational-realistic approach to quantum physics and quantum cognition offers a fundamental strategy for modeling the meaning associated with collections of documental
Concepts and Their Dynamics: A Quantum-Theoretic Modeling of Human Thought
TLDR
The relevance of complex numbers, the appearance of entanglement, and the role of Fock space in explaining contextual emergence, all as unique features of the quantum modeling are explicitly revealed in this article by analyzing human concepts and their dynamics.
Fermi-Dirac Statistics
Fermi-Dirac statistics are one of two kinds of statistics exhibited by!identical quantum particles, the other being !Bose-Einstein statistics. Such particles are called fermions and bosons
Quantum Structure in Cognition
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 theoretical explanation for probability judgment errors.
TLDR
It is concluded that quantum information-processing principles provide a viable and promising new way to understand human judgment and reasoning.
The Heart of an Image: Quantum Superposition and Entanglement in Visual Perception
TLDR
This investigation uses insights and techniques coming from quantum cognition, and more specifically it is inspired by the correspondence of this principle with the phenomenon of the conjunction effect in human cognition to identify entities of meaning within artefacts of visual perception.
...
...