The Universality of the Planckian Distribution Equation 347“6x9” b2861 The Cell Language Theory: Connecting Mind and Matterenzymes, to cells, to brains, and to the cosmos (Figure 8.6). This unex-
pected finding may indicate that, underlying all the varied phenomena
obeying the Planckian distribution law, there exists a common mecha-
nism, just as all the phenomena obeying the Gaussian distribution equa-
tion implicate a common mechanism, namely random processes. The
connection between the Gaussian and the Planckian distributions may not
be as haphazard as it may appear but much more substantial.
Some examples of the numerical values of PDE parameters fitting the
histograms in Figure 8.6 are given in Table 8.1. It is interesting to note that
the numerical values of A differ by a factor of about 10^9 between the
budding yeast and the human breast tissues, whereas the numerical values
for B and C differ only by a factor of about 10^2. The reasons for these dif-
ferences are not yet known.8.3.1 Atomic Physics (Figure 8.6(a))
PDE fitting the blackbody radiation spectra was discussed in connection
with Figure 8.2 in Section 8.2. Since PDE was derived from the Planck
radiation formula which fitted the blackbody radiation that reflects the
internal structure of atoms, it would be logical to conclude that the fitting
of the blackbody radiation spectra to PDE indicates that PDE is capable
of representing the organization of matter within an atom and any other
material systems whose long-tailed histograms fit PDE.8.3.2 Protein Folding (Figure 8.6(b))
Under normal biological conditions of constant temperature (T) and pres-
sure (P), all spontaneous changes, including protein folding from unfolded
to folded states, are driven by a decrease in Gibbs free energy [478, 479],
i.e., by a negative Gibbs free energy change, DG < 0. Conversely, whenFigure 8.6 (Continued) from [342]. (r) The 1996 US annual income distribution [358].
(s) The 2013 US annual income distribution in 2013 [358]; the dollar images were
retrieved from https://en.wikipedia.org/wiki/United_States_dollar. (t) Polarized cosmo-
logical microwave background radiation [477]; The Milky Way Galaxy image retrieved
from https://en.wikipedia.org/wiki/MilkyWay on May 01, 2016.b2861_Ch-08.indd 347 17-10-2017 12:09:15 PM