Cell Language Theory, The: Connecting Mind And Matter

368 The Cell Language Theory: Connecting Mind and Matter

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

8.6 Possible Relations among Planckian Information,

Quanta, and Entropy

One way to better understand the possible meaning of IP [26, 27] may be to

compare it with the Boltzmann–Gibbs and Shannon entropies which are

well-known measures of disorder. The meanings of the terms “entropy”

(and its derivative “negentropy”) and “information” are controversial [369].

However, this is fortunately not the case for the word “quantum of action”

or “quanta of action”. Hence, if “entropy” and “information” can be shown

to be related to “quanta” mathematically, such a triadic relation may help

clarify the true meanings of “entropy” and “information”.

The concepts of entropy, quanta, and information all share the common

property of being characterizable in three distinct ways: (a) experimentally/

empirically, (b) statistical mechanically, and (c) mathematically or category-

theoretically [370, 371], as summarized in Table 8.5.

There is a close formal similarity between the mathematical equations

for H and S (see rows 4 and 5, column 2). But this provides only a shallow

reason for giving both functions the same name, “entropy”, without first

checking that both mathematical functions share some common principles

or mechanisms. Since the meaning of “entropy” in thermodynamics is well

established (e.g., a measure of disorder, obeying the Second Law), giving

this same name to the H function may lead to unwittingly attributing the

same thermodynamic meaning of entropy to H. In fact, many prominent

scientists have taken this road, thereby creating confusions (see [369] for

a review).

Somewhat similar events have transpired during the last 7 years at

Rutgers. We derived a new equation, PDE (see row 5, column 3), by

replacing the universal constants and temperature in the PRE (see row

4, column 3) with free parameters, A, B, and C (see Section 8.1). For

convenience, we defined “Planckian processes” as those physicochem-

obiological, biomedical, psychological, socioeconomic, and cosmo-

logical processes that generate numerical data fitting PDE (see

Statement (8.8)) and there are many such processes found in natural

and human sciences (as shown in Figure 8.6). In a certain sense,

H function of Shannon is related to the S function of Boltzmann and

Gibbs just as the Planckian distribution equation is related to the

Planck radiation equation. (8.18)

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