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Related papers: Quantum Structure in Cognition: Human Language as …

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In previous research, we showed that 'texts that tell a story' exhibit a statistical structure that is not Maxwell-Boltzmann but Bose-Einstein. Our explanation is that this is due to the presence of 'indistinguishability' in human language…

Neurons and Cognition · Quantitative Biology 2023-02-27 Diederik Aerts , Lester Beltran

As a result of the identification of 'identity' and 'indistinguishability' and strong experimental evidence for the presence of the associated Bose-Einstein statistics in human cognition and language, we argued in previous work for an…

Neurons and Cognition · Quantitative Biology 2023-02-27 Diederik Aerts , Lester Beltran

Inspired by foundational studies in classical and quantum physics, and by information retrieval studies in quantum information theory, we prove that the notions of 'energy' and 'entropy' can be consistently introduced in human language and,…

Neurons and Cognition · Quantitative Biology 2023-02-27 Diederik Aerts , Jonito Aerts Arguëlles , Lester Beltran , Sandro Sozzo

Identical systems, or entities, are indistinguishable in quantum mechanics (QM), and the symmetrization postulate rules the possible statistical distributions of a large number of identical quantum entities. However, a thorough analysis on…

Neurons and Cognition · Quantitative Biology 2024-09-16 Diederik Aerts , Jonito Aerts Arguēlles , Lester Beltran , Massimiliano Sassoli de Bianchi , Sandro Sozzo

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…

Neurons and Cognition · Quantitative Biology 2021-03-30 Lester Beltran

Increasing experimental evidence shows that humans combine concepts in a way that violates the rules of classical logic and probability theory. On the other hand, mathematical models inspired by the formalism of quantum theory are in…

Artificial Intelligence · Computer Science 2015-12-31 Diederik Aerts , Sandro Sozzo , Tomas Veloz

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…

Neurons and Cognition · Quantitative Biology 2025-04-15 Diederik Aerts , Jonito Aerts Arguëlles , Lester Beltran , Massimiliano Sassoli de Bianchi , Sandro Sozzo

Bose-Einstein condensation is unique among phase transitions between different states of matter in the sense that it occurs even in the absence of interactions between particles. In Einstein's textbook picture of an ideal gas, purely…

Experiments in cognitive science and decision theory show that the ways in which people combine concepts and make decisions cannot be described by classical logic and probability theory. This has serious implications for applied disciplines…

Artificial Intelligence · Computer Science 2013-01-08 Diederik Aerts , Liane Gabora , Sandro Sozzo , Tomas Veloz

We provide an overview of the results we have attained in the last decade on the identification of quantum structures in cognition and, more specifically, in the formalization and representation of natural concepts. We firstly discuss the…

Artificial Intelligence · Computer Science 2023-03-01 Diederik Aerts , Sandro Sozzo

The mathematical formalism of quantum theory has been successfully used in human cognition to model decision processes and to deliver representations of human knowledge. As such, quantum cognition inspired tools have improved technologies…

Computation and Language · Computer Science 2015-12-31 Diederik Aerts , Jan Broekaert , Sandro Sozzo , Tomas Veloz

Cognition and language seem closely related to the human cognitive process, although they have not been studied and investigated in detail. Our brain is too complex to fully comprehend the structures and connectivity, as well as its…

Neurons and Cognition · Quantitative Biology 2022-10-26 Zang-Hee Cho , Sun-Ha Paek , Young-Bo Kim , Taigyoun Cho , Hyejin Jeong , Haigun Lee

Bose-Einstein condensate of rarified atomic gases is considered as the state formed by exchange of virtual photons, resonant to the lowest levels of atoms; such representation corresponds to the Einstein opinion about an inter-influence of…

Other Condensed Matter · Physics 2008-04-14 Mark E. Perel'man

We elaborate the new interpretation of quantum theory that we recently proposed, according to which quantum particles are considered conceptual entities mediating between pieces of ordinary matter which are considered to act as memory…

Quantum Physics · Physics 2014-03-18 Diederik Aerts

A nonrelativistic Bose gas is represented as a grand-canonical ensemble of fluctuating closed spacetime strings of arbitrary shape and length. The loops are characterized by their string tension and the number of times they wind around the…

Condensed Matter · Physics 2009-10-31 S. Bund , Adriaan M. J. Schakel

At finite temperatures below the phase transition point, the Bose-Einstein condensation, the macroscopic occupation of a single quantum state by particles of integer spin, is not complete. In the language of superfluid helium, this means…

Mathematical Physics · Physics 2015-09-16 Dionisios Margetis

We consider the possible existence of gravitationally bound general relativistic strings consisting of Bose-Einstein condensate (BEC) matter which is described, in the Newtonian limit, by the zero temperature time-dependent nonlinear…

General Relativity and Quantum Cosmology · Physics 2015-09-29 Tiberiu Harko , Matthew J. Lake

Quantum information has suggested new forms of quantum logic, called quantum computational logics, where meanings of sentences are represented by pieces of quantum information (generally, density operators of some Hilbert spaces), which can…

Quantum Physics · Physics 2016-02-25 Giuseppe Sergioli , Roberto Leporini

This note is a friendly technical check of arXiv:2511.21731v1. I highlight a few places where the manuscript's interpretation of (i) the reported CHSH/Bell-type calculations and (ii) Bose--Einstein (BE) fits to rank-frequency data seems to…

Artificial Intelligence · Computer Science 2026-01-13 Krzysztof Sienicki

Quantum computation has suggested new forms of quantum logic, called quantum computational logics. The basic semantic idea is the following: the meaning of a sentence is identified with a quregister, a system of qubits, representing a…

Quantum Physics · Physics 2007-05-23 M. L. Dalla Chiara , R. Giuntini , R. Leporini
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