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Identifying Quantum Mechanical Statistics in Italian Corpora

arXiv 2412.07919 ↗First posted 10 Dec 2024q-bio.NC cs.CL quant-phcited by 1

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Abstract (arXiv)

We present a theoretical and empirical investigation of the statistical behaviour of the words in a text produced by human language. To this aim, we analyse the word distribution of various texts of Italian language selected from a specific literary corpus. We firstly generalise a theoretical framework elaborated by ourselves to identify 'quantum mechanical statistics' in large-size texts. Then, we show that, in all analysed texts, words distribute according to 'Bose--Einstein statistics' and show significant deviations from 'Maxwell--Boltzmann statistics'. Next, we introduce an effect of 'word randomization' which instead indicates that the difference between the two statistical models is not as pronounced as in the original cases. These results confirm the empirical patterns obtained in texts of English language and strongly indicate that identical words tend to 'clump together' as a consequence of their meaning, which can be explained as an effect of 'quantum entanglement' produced through a phenomenon of 'contextual updating'. More, word randomization can be seen as the linguistic-conceptual equivalent of an increase of temperature which destroys 'coherence' and makes classical statistics prevail over quantum statistics. Some insights into the origin of quantum statistics in physics are finally provided.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 11 of its 59 references that are in the map. First posted on arXiv 10 Dec 2024.

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11 of 59 references.

References · 11

  1. 2019Quantum Structure in Cognition: Human Language as a Boson Gas of Entangled Wordscited by 9
  2. 2022A Planck Radiation and Quantization Scheme for Human Cognition and Languagecited by 8
  3. 2021Are Words the Quanta of Human Language? Extending the Domain of Quantum Cognitioncited by 7
  4. 2017Towards a Quantum World Wide Webcited by 6
  5. 2015On the Foundations of the Brussels Operational-Realistic Approach to Cognitioncited by 5
  6. 2018Modeling Human Decision-making: An Overview of the Brussels Quantum Approachcited by 5
  7. 2021Quantum Bose-Einstein Statistics for Indistinguishable Concepts in Human Languagecited by 5
  8. 2015Quantum Structure in Cognition, Origins, Developments, Successes and Expectationscited by 3
  9. 2022Development of a Thermodynamics of Human Cognition and Human Culturecited by 2
  10. 2024The Origin of Quantum Mechanical Statistics: Some Insights from the Research on Human Languagecited by 2
  11. 2023Entanglement as a Method to Reduce Uncertaintycited by 1

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