4 ms·
What a coincidence, isn't it ? I like this one too: huh, wait I found a fresh one while digging some material I couldn't find again. I think I found it at the
by blatant303 4y ago
What a coincidence, isn't it ?
I like this one too: huh, wait I found a fresh one while digging some material I couldn't find again. I think I found it at the very beginning of a paper by Coecke or the Iranian woman behind discocat. They mentioned Zipf, frequencies of frequencies inside frequency dictionary and partial order and how it was related to Bose Einstein condensates (where individual particle act as one ... incarnation, incarnation). Anyway I found something about that topic. Author: Aerts, Coecke's master. What a coincidence, I was just looking for anything relating zipf to Bose einstein in google scholar.
https://www.mdpi.com/1099-4300/24/1/6 https://www.mdpi.com/1099-4300/24/1/6
Are Words the Quanta of Human Language? Extending the Domain of Quantum Cognition
Abstract
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 as a result of the same words in different parts of the story being indistinguishable from one another, in much the same way that ’indistinguishability’ occurs in quantum mechanics, also there leading to the presence of Bose–Einstein rather than Maxwell–Boltzmann as a statistical structure. In the current article, we set out to provide an explanation for this Bose–Einstein statistics in human language. We show that it is the presence of ‘meaning’ in ‘texts that tell a story’ that gives rise to the lack of independence characteristic of Bose–Einstein, and provides conclusive evidence that ‘words can be considered the quanta of human language’, structurally similar to how ‘photons are the quanta of electromagnetic radiation’. Using several studies on entanglement from our Brussels research group, we also show, by introducing the von Neumann entropy for human language, that it is also the presence of ‘meaning’ in texts that makes the entropy of a total text smaller relative to the entropy of the words composing it. We explain how the new insights in this article fit in with the research domain called ‘quantum cognition’, where quantum probability models and quantum vector spaces are used in human cognition, and are also relevant to the use of quantum structures in information retrieval and natural language processing, and how they introduce ‘quantization’ and ‘Bose–Einstein statistics’ as relevant quantum effects there. Inspired by the conceptuality interpretation of quantum mechanics, and relying on the new insights, we put forward hypotheses about the nature of physical reality. In doing so, we note how this new type of decrease in entropy, and its explanation, may be important for the development of quantum thermodynamics. We likewise note how it can also give rise to an original explanatory picture of the nature of physical reality on the surface of planet Earth, in which human culture emerges as a reinforcing continuation of life.
That's some seriously all-encompassing shit. Very mystical if you ask me. Anyway, this is a few sentences into the paper:
1. Introduction
If we consider ‘a text that tells a story’, then the same words can be interchanged within the text without changing anything about the story told by the text. Let us demonstrate what we mean by using a concrete text which we call the ‘Example Text’
It mists over the flanks of the hillside. In a few hours the climbing sun will dispel the haze. The pine trees are slender against the horizon. The animal saunters slowly down toward the great river. Before reaching the water, the animal looks into the distance and lets its proud sound reverberate across the valley. The animal continues its way through the young grass to the riverbank where it will enjoy its favorite food. From the small grove of trees growing a little further along the riverbank, another animal appears, surveying the panorama.
We have underlined the four occurrences of the word Animal in the ‘Example Text’, and it is indeed evident that we can interchange these four words Animal with each other, and that this will not change the text as a story in any possible way (we will denote ‘words’ in italics and with an initial capital letter like we have denoted ‘concepts’ in our earlier works). Herein, ‘a text representing a story’ behaves differently from ‘a collection of macroscopic physical objects representing a landscape’ in physical reality. Indeed, let us now consider the physical landscape of ‘the animal sauntering down the hillside and the other animal appearing from the grove of trees along the riverbank’. If we swap these two animals in the physical landscape, this landscape will change essentially.
Uncanny, I told you