Quantum Bose-Einstein Statistics for Indistinguishable Concepts in Human Language

• URL: http://arxiv.org/abs/2103.15125v1
• Date: Sun, 28 Mar 2021 13:07:12 GMT
• Title: Quantum Bose-Einstein Statistics for Indistinguishable Concepts in Human Language
• Authors: Lester Beltran
• Abstract summary: We investigate the hypothesis that within a combination of a 'number concept' plus a'substantive concept', such as 'eleven animals' 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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 fit as compared to the Maxwell-Boltzmanns.

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