Cell Language Theory, The: Connecting Mind And Matter

370 The Cell Language Theory: Connecting Mind and Matter

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

Therefore, if there are functors [370, 371] connecting PDE and PRE

(e.g., energy quantization, wave–particle duality), as I believe, it is likely

that there can be at least one functor connecting H and S which I do not

believe is the Second Law as some physicists and mathematicians claim

(see [369] for a review). The functor connecting H and S may well be, in

addition to the identical mathematical form, the “variety” of choices avail-

able to the system under consideration (e.g., see [369, p. 186]) or “disor-

ganized complexity” of Weaver [366].

In addition to the “mathematical functors” described above, there may

be “nonmathematical” or “qualitative” functors connecting H and S, on

the one hand, and PDE and Planck Radiation Equation (PRE), on the

other, and I am inclined to think that these “qualitative functors” may be

identified with the Peircean sign triad or ITR [27] (see Chapter 9).

There may be an ITR among thermodynamics (T), quantum mechan-

ics (Q), and informatics (I) (see row 2 of Table 8.5), thus generating a

mathematical category which may be referred to as the TQI category (see

Figure 8.10). This idea is represented diagrammatically as shown in

Figure 8.11.

The derivation of PRE (see row 4, column 3) by M. Planck in 1900

utilized the concept of thermodynamic entropy (row 4, column 2;

W. Vlasak, “Planck’s theory and thermodynamics”, http://pubs.acs.org/

subscribe/archive/ci/31/102/html/02learning.html; M. Fowler, “Planck’s

Route to the Black Body Radiation Formula and Quantization”, http://

Figure 8.10 The hypothesis that the TQI (thermodynamics, quantum mechanics, and

informatics) category is essential for communication or semiosis. f = quantization or

organization; g = selection; h = grounding, or correlation. (Naming of these arrows are of

secondary importance, because there may be more than one ways of naming them, depend-

ing on the context of discourse or the infological parameters [37]. The commutative condi-

tion is thought to be satisfied: f × g = h, i.e., f followed by g leads to the same result as h.

f g

1872-5) (1900) (2015) [26]

Boltzmann entropyeq. Planck radiation eq. Planckianinformation eq.

(

(Thermodynamics) (Quantum mechanics) (Informatics)

h

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