Cell Language Theory, The: Connecting Mind And Matter

The Universality of the Planckian Distribution Equation 335

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

(GPE), or the Planckian distribution equation (PDE) (see Eqs. (8.2) and

(8.3)), has been found to fit the long-tailed histograms generated from not

only atomic physics Figures 8.2(b)–8.2(d) (Figure 8.6(a)), but also

1. protein folding (Figure 8.6(b));


2. single-molecule enzyme catalysis (Figure 8.6(c));


3. genome-wide RNA levels measured in yeast (Figure 8.6(d));


4. genome-wide RNA levels measured in human breast tissues
   (Figure 8.6(e));


5. human T-cell receptor gene sequence diversity (Figure 8.6(f));


6. 7-mer frequency distribution in Pyrococcus abyssi (Figure 8.6(g));


7. the codon profile in the human genome (Figure 8.6(h));


8. protein length frequency distribution in Haemophilus influenzae
   (Figure 8.6(i));


9. brain neuroarchitectural changes induced by stress in rats (Figure 8.6(j));


10. electrocorticographic responses of the olfactory cortex to impulses
    (Figure 8.6(k));


11. functional magnetic resonance imaging (fMRI) signals from the
    human brain before and after the infusion of the hallucinogen, psyilo-
    cybin (Figure 8.6(l));


12. sentence-length frequency distribution in private letters (Figure 8.6(m));


13. word-length frequency distribution in English text (Figure 8.6(n));


14. word-length frequency distribution in John Kerry’s speech in 2004
    (Figure 8.6(o));


15. the F0 histogram of the reading sound of a book (Figure 8.6(p));


16. the decision-time histogram (Figure 8.6(q));


17. the 1996 US annual income distribution (Figure 8.6(r));


18. the 2013 US annual income distribution (Figure 8.6(s)); and


19. the polarized cosmic microwave background (CMB) radiation
    (Figure 8.6(t)).

One of the main objectives of this chapter is to propose a possible

explanation for the seeming universality of PDE or BRE.

Due to the difficulties in obtaining the original numerical data of most

of the published graphs analyzed in this paper, it was necessary to

“hand-digitize” the graphs of interest in order to see if they fit PDE.

Our hand-digitization involved two steps: (a) amplifying a graph or a histo-

gram by 2–3-fold by xeroxing it at an expanded scale and (b) using a ruler or

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