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Quantum Bose–Einstein Statistics for Indistinguishable Concepts in Human Language
Foundations of Science ( IF 0.9 ) Pub Date : 2021-05-08 , DOI: 10.1007/s10699-021-09794-1
Lester Beltran

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–Boltzmann’s.



中文翻译:

不可区分的人类语言概念的量子玻色–爱因斯坦统计

我们研究了以下假设:在“数字概念”与“实体概念”(例如“十一只动物”)的组合中,存在于概念层次上的同一性和不可区分性,即所有十一只动物都是相同且不可区分的,得出Bose-Einstein类型的统计结构,类似于相同且不可区分的量子粒子的Bose-Einstein统计量。我们通过使用Google搜索工具从万维网中提取统计数据来确定该假设的证据。通过使用Kullback-Leibler发散方法,我们将获得的分布与Maxwell-Boltzmann分布以及Bose-Einstein分布进行比较,并表明Bose-Einstein分布与Maxwell-Boltzmann分布相比具有更好的拟合度。

更新日期:2021-05-08
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