Cell Language Theory, The: Connecting Mind And Matter

The Universality of the Planckian Distribution Equation 359

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

8.3.19 Polarized Cosmological Microwave Background (CMB)

Radiation (Figure 8.6(t))

Although PDE has been found to fit most fat-tailed histograms generated

in various disciplines that we have examined so far (over about 50 as of

December 2015), the polarized CMB data shown in Figure 8.6(t) (see

the curve labeled “BICEP2 data”) is a rare exception in the sense that

they could not fit into PDE using the Solver software nor by any visual

fitting.

In general, if PDE fits the rising phase of a long-tailed histogram,

it usually fits the falling phase of the histogram, but this is not the case

with the polarized CMB data as evident in Figure 8.6(t). The areas

under the curve (AUCs) of the Gaussian-like distribution, CMB distri-

bution, and PDE were found to be, respectively, 10.30, 13.97, and

16.98, indicating that the CMB data are less organized as predicted by

PDE. Using Eq. (8.10), we can calculate two IP values, one associated

with CMB and the other with PDE — the former was to be 0.44 bits

and the latter 0.72 bits, almost twice the value of the former. One pos-

sible interpretation of this difference may be that the polarized CMB

radiation “lost” some of its information about the Big Bang due to the

randomizing effects of the galactic dust in agreement with Cowen in

[360] but in disagreement with the now dominant view that BICEP2

data are all due to the galactic dust in which case the BICEP2 curve

should have overlapped exactly with the Gaussian-like curve in

Figure 8.6(t) which is not the case.

8.4 The Universality of the PDE

We have demonstrated that the PDE in either the 4- or 3-parameter

version, i.e., Eq. (8.2) or (8.3), respectively, is a new distribution law,

comparable to the Gaussian distribution, that applies to a wide range of

experimental data measured from atoms, biopolymers, living cells, brains,

and the cosmos as demonstrated in Figure 8.6. One plausible explanation

for this finding may be that, underlying all Planckian processes, there are

common physical processes mediated by “standing waves” (electromag-

netic, gravitational, mechanical, and concentration) as represented by the

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