# A Planck Radiation and Quantization Scheme for Human Cognition and Language

arXiv: https://arxiv.org/abs/2201.03306 · HTML: https://mlsanity.com/paper/2201.03306/

## Key facts

- Cited by 8 papers in the map (data through 14 Oct 2026).
- Builds on 14 of its 90 references that are in the map.
- First posted on arXiv 10 Jan 2022.

## Builds on (most cited first, 14 of 14)

- [Quantum Structure in Cognition: Human Language as a Boson Gas of Entangled Words](https://mlsanity.com/paper/1909.06845/) (2019)
- [Are Words the Quanta of Human Language? Extending the Domain of Quantum Cognition](https://mlsanity.com/paper/2110.04913/) (2021)
- [Quantum Entanglement in Concept Combinations](https://mlsanity.com/paper/1302.3831/) (2013)
- [The Heart of an Image: Quantum Superposition and Entanglement in Visual Perception](https://mlsanity.com/paper/1802.02216/) (2018)
- [Quantum entanglement in physical and cognitive systems: a conceptual analysis and a general representation](https://mlsanity.com/paper/1903.09103/) (2019)
- [The Quantum Nature of Identity in Human Thought: Bose-Einstein Statistics for Conceptual Indistinguishability](https://mlsanity.com/paper/1410.6854/) (2014)
- [Spin and Wind Directions II: A Bell State Quantum Model](https://mlsanity.com/paper/1706.01188/) (2017)
- [Entanglement in Cognition violating Bell Inequalities Beyond Cirel'son's Bound](https://mlsanity.com/paper/2102.03847/) (2021)
- [Quantum Bose-Einstein Statistics for Indistinguishable Concepts in Human Language](https://mlsanity.com/paper/2103.15125/) (2021)
- [Introduction to the Special Issue on Quantum Cognition](https://mlsanity.com/paper/1309.5673/) (2013)
- [Spin and Wind Directions I: Identifying Entanglement in Nature and Cognition](https://mlsanity.com/paper/1508.00434/) (2015)
- [Toward a Quantum Theory of Humor](https://mlsanity.com/paper/1703.04647/) (2017)
- [Quantum Entanglement in Corpuses of Documents](https://mlsanity.com/paper/1810.12114/) (2018)
- [Quantum Cognitive Triad. Semantic geometry of context representation](https://mlsanity.com/paper/2002.11195/) (2020)

## Built on by (most cited first, 8 of 8)

- [Reservoir Computing Using Measurement-Controlled Quantum Dynamics](https://mlsanity.com/paper/2403.01024/) (2024)
- [The Physics of Preference: Unravelling Imprecision of Human Preferences through Magnetisation Dynamics](https://mlsanity.com/paper/2310.00267/) (2023)
- [Identifying Quantum Structure in AI Language: Evidence for Evolutionary Convergence of Human and Artificial Cognition](https://mlsanity.com/paper/2511.21731/) (2025)
- [Development of a Thermodynamics of Human Cognition and Human Culture](https://mlsanity.com/paper/2212.12795/) (2022)
- [Exploring Cognitive Paradoxes in Video Games: A Quantum Mechanical Perspective](https://mlsanity.com/paper/2307.08758/) (2023)
- [Identifying Quantum Mechanical Statistics in Italian Corpora](https://mlsanity.com/paper/2412.07919/) (2024)
- [Are Colors Quanta of Light for Human Vision? A Quantum Cognition Study of Visual Perception](https://mlsanity.com/paper/2403.18850/) (2024)
- [Quantum-Cognitive Tunnelling Neural Networks for Military-Civilian Vehicle Classification and Sentiment Analysis](https://mlsanity.com/paper/2507.18645/) (2025)

## Abstract (arXiv)

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 extension of the research domain of quantum cognition. In addition to quantum complex vector spaces and quantum probability models, we showed that quantization itself, with words as quanta, is relevant and potentially important to human cognition. In the present work, we build on this result, and introduce a powerful radiation quantization scheme for human cognition. We show that the lack of independence of the Bose-Einstein statistics compared to the Maxwell-Boltzmann statistics can be explained by the presence of a 'meaning dynamics', which causes words to be attracted to the same words. And so words clump together in the same states, a phenomenon well known for photons in the early years of quantum mechanics, leading to fierce disagreements between Planck and Einstein. Using a simple example, we introduce all the elements to get a better and detailed view of this 'meaning dynamics', such as micro and macro states, and Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac numbers and weights, and compare this example and its graphs, with the radiation quantization scheme of a Winnie the Pooh story, also with its graphs. By connecting a concept directly to human experience, we show that entanglement is a necessity for preserving the 'meaning dynamics' we identified, and it becomes clear in what way Fermi-Dirac addresses human memory. Within the human mind, as a crucial aspect of memory, in spaces with internal parameters, identical words can nevertheless be assigned different states and hence realize locally and contextually the necessary distinctiveness, structured by a Pauli exclusion principle, for human thought to thrive.