Quantum Bose-Einstein statistics for Indistinguishable Concepts in Human Language

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Samenvatting

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 extracting the statistical data from the World-Wide-Web utilizing the Google Search tool. By using the Kullback-Leibler divergence method, we then compare the obtained distribution with the Maxwell-Boltzmann as well as with the Bose-Einstein distributions and show that the Bose-Einstein's provides a better t as compared to the Maxwell-Boltzmann's.
Originele taal-2English
Pagina's (van-tot)43-55
Aantal pagina's13
TijdschriftFoundations of Science
Volume28
Nummer van het tijdschrift1
DOI's
StatusPublished - mrt. 2023

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Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature B.V.

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