Quantum Bose-Einstein Statistics for Indistinguishable Concepts in Human\n Language

2021/03/28 by Lester Beltran, Beltran, Lester · 1 citation
Computer Science · #Advanced Text Analysis Techniques #Computation and Language (cs.CL) #FOS: Biological sciences #FOS: Computer and information sciences #FOS: Physical sciences #Neurons and Cognition (q-bio.NC) #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2103.15125

openalex publication_date 2021/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the hypothesis that within a combination of a 'number concept'\nplus a 'substantive concept', such as 'eleven animals,' the identity and\nindistinguishability present on the level of the concepts, i.e., all eleven\nanimals are identical and indistinguishable, gives rise to a statistical\nstructure of the Bose-Einstein type similar to how Bose-Einstein statistics is\npresent for identical and indistinguishable quantum particles. We proceed by\nidentifying evidence for this hypothesis by extracting the statistical data\nfrom the World-Wide-Web utilizing the Google Search tool. By using the\nKullback-Leibler divergence method, we then compare the obtained distribution\nwith the Maxwell-Boltzmann as well as with the Bose-Einstein distributions and\nshow that the Bose-Einstein's provides a better fit as compared to the\nMaxwell-Boltzmanns.\n

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