382 The Cell Language Theory: Connecting Mind and Matterb2861 The Cell Language Theory: Connecting Mind and Matter “6x9”Section 9.1, which was also called the ITR, and (b) the Planckian distribu-
tion equation (PDE), discovered at Rutgers University in 2008 [25, pp.
342–368] and discussed in Section 8.1.
Examples collected in Table 9.1 clearly demonstrate that ITR is
universal, since ITR can be applied to at least 19 different subjects, ranging
from (a) quantum mechanics to (b) enzymology, (c) gnergetics, the study of
the information-energy driving all self-organizations [7, 136], (d) semiotics,
(e) category theory, (f) philosophy, (g) religions and to (h) Einstein’s general
relativity. Moreover, most interestingly, ITR and the ur-category defined in
Table 9.1 and Figure 9.2 are formally equivalent. The ur-category is defined
as the category to which all categories belong.
It is convenient to define the ur-category as the simplest category to
which all other categories can be reduced. The ur-category can be
diagrammatically represented as shown in Figure 9.2.
Please note that ITR defined in Figure 9.1 and the ur-category defined
in Figure 9.2 are more or less synonymous and isomorphic (i.e., similar in
principle).
In Figures 9.1 and 9.2, A, B, and C are nodes (or absolute terms), and
f, g, and h are arrows (or relative terms, relatives, or relations in the
Peircean idiom). “X → Y” reads “X determines Y (in a broadest sense), and
the commutativity condition of the category theory [370, 371] is postulated
to hold, i.e., f × g = h, or f followed by g leads to the same result as h.
The specific nature of A, B, and C and the associated structure-
preserving mappings, f, g, and h, depend on the field of inquiry under
discussion and vary widely as evident in Table 9.1. The arrows f and g may
be identified with “causality” or “energy-mediated” interactions, and
arrow h with what was referred to as “codality”, i.e., “code-mediated” or
“information-mediated” interactions [25, p. 93]. Thus, the irreduciblyf g
ABChFigure 9.2 The “ur-category”, defined as the simplest category to which all other catego-
ries can be reduced. See Figure 9.1 for the definitions of the symbols.b2861_Ch-09.indd 382 17-10-2017 12:16:20 PM