Quantum Structure in Cognition: Human Language as a Boson Gas of Entangled Words
Table 5: The eleven lowest energy levels of the novel Gulliver’s Travels by Jonathan Swift (Swift, 1726). The values of the Bose-Einstein model are compared with the data, i.e. the numbers of appearances of the words in the text in (a) without the introduction of a power coefficient and in (b) with the introduction of a power coefficient. The comparison for all energy levels can be seen for (a) in Figure 7 (a) and for (b) in Figure 7 (b).
['(a) Gulliver’s Travels without power coefficient Cogniton state', '(a) Gulliver’s Travels without power coefficient Energy level', '(a) Gulliver’s Travels without power coefficient Appearance number', '(a) Gulliver’s Travels without power coefficient Bose-Einstein value']
We can see right away that again the Bose-Einstein model is a much better representation of the data than the Maxwell-Boltzmann model, but we can also see that it is a less good representation of the data than it was the case for the Winnie the Pooh story and the H. G. Wells story. Indeed, the red graph indicates noticeably too high values in the low energy levels and for a large region in the middle energy levels it has values that are too low.