Cell Language Theory, The: Connecting Mind And Matter

The Universality of the Planckian Distribution Equation 355

“6x9” b2861 The Cell Language Theory: Connecting Mind and Matter

8.3.14 Word-Length Frequency Distributions in English Text

(Figure 8.6(n))

The word-length frequency distribution in English text can be almost

exactly reproduced by PDE, which may indicate that the writers of the

English text selected their words nonrandomly, since random selection of

words would have led to a Gaussian-like symmetric distribution, not a

long-tailed one.

8.3.15 Word-Length Frequency Distribution in Kerry’s Speech

(Figure 8.6(o))

The histogram of the word-length frequency distribution in a speech deliv-

ered by John Kerry in 2004 fits PDE almost perfectly (see Figure 8.6(o)).

What is most remarkable about Figure 8.6(o) is the fact that the histogram

also fits the Menzerath–Altmann equation discovered by glottometri-

cians [350–354] equally well. This may indicate that, in general, a given

histogram can be fit into more than one mathematical equation, which

may be referred to as the “unreasonable arbitrariness of mathematics”

(UAM) to contrast with to Wigner’s thesis that mathematics is unreason-

ably effective [356].

One possible explanation for the asymmetric distribution of the word-

length frequency in Kerry’s speech is that (a) a set of words from Kerry’s

memory came up to his consciousness more or less randomly, (b) Kerry

selected the right word from this set, and (c) this selection was triggered

by some signals generated in the audience, thus fitting the SID–TEM–

TOF mechanism postulated to underlie all Planckian processes.

8.3.16 The Pitch Histogram of Sylvia Plath’s Reading

of Her Poem (Figure 8.6(p))

Liberman [355] analyzed the pitch distributions in Sylvia Plath’s reading

of her own poem “Daddy” and displayed the results as a histogram as

shown in Figure 8.6(p). Although there appears to be three minor peaks at

semitone values of 3, 7, and 13 relative to A220, the overall shape of the

histogram seems reasonably well simulated by PDE. Liberman also ana-

lyzed the sounds of Ginsberg reading his poem “Supermarket in

California” [355] and displayed the results as a histogram which looked

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