## Seven essentialities LO17510

Winfried Dressler (winfried.dressler@voith.de)
Mon, 23 Mar 1998 19:38:34 +0100

In response to "Entropy and related stuff LO17490" by At de Lange.

Dear At,

Thank you very much for the pixel-picture-model. I love it!

And already while reading, I have started to work on it.

First let me try to formalise the missing two essentialities:

Again we start with the yellow picture, one pixel being blue. Watch the
movies created by changing the color of one pixel after the other from
yellow to blue by chance. The entropy will increase very fast in the
beginning, then slower and will reach a maximum at about 50% blue pixels.
More blue pixels will decrease the entropy again until D=0 with all pixels
blue. Thus quantity-limit (limitedness) is valid. (Further increase of
entropy is only possible as entropy of order through commutation or
connect-beget (fruitfulness) when patterns, rich in entropy emerge.)

If the dissolving of the picture is increased - using 1,000,000 pixels
instead of 10,000 for the same picture, making more details visible, the
entropy will increase - increase of knowledge about the microcosmos. It
will increase also when the picture is recognised as just a part of a
bigger picture (1,000,000 pixels in the same dissolving) - increase of
knowledge about the macrocosmos. Thus open-paradigm (openness) is valid.

So far we have all seven essentialities together. They fall within three
categories as I observe:

1.) The possibility to produce entropy in general: becoming-being
(aliveness)

2.) Changing the rules of the picture:

a) Beyond the frames of the given picture: open-paradigm (openness)

b) Within the frames of the given picture: quality-variety (rangeness)

(At, I am not sure about these two. If I made no mistake, I would call
open-paradigm (rangeness) and quality-varienty (contrast). But this is
another issue: To find the best "Ausdruck" (expression, form) for a
specific "Bedeutungsintention" (meaning, content) - using terminology of
Edmund Husserl.)

3.) Rules to maximise entropy within a given paradigm and variety (number
of pixels, number of colors).

a) limited quantity of each category (color) (includes far reaching
correlations, yet no order required)

b) "beget" entropy by connecting pixels (includes short correlation only
to neighbours, yet the local root of order)

c) "Wholeness" sounds like maximising entropy by looking at the whole
picture and its complexity and "beauty" (far reaching correlations, order
required). I do not really understand the words "associativity" and
"monadicity", latter because I am not familiar with Leibnitz' theory of

d) I couldn't follow your formalisation of identity-categoricity
(sureness) in this modell. Let me turn from "academical apartheid" to
"functional apartheid" in companies. If an organisation is structured by
functions (sales, R&D, production), it is a rainbow-organisation in the
sense that equal colors (functions) are allocated together. This is low
entropy with all the problems of missing commutation. To make sure, that
the right things happen, "scientific management" had to fix strict rules
for decision making - up the hierarchy, down the hierarchy.

Meanwhile, many companies gave up functional apartheid. They created
market or product oriented divisions. Necessary resources (categories) are
allocated around a variety of unique purposes (identities). More
selforganisation and less control is a sign for higher sureness (at least
for those managers who could follow the change mentally).

At, you said apartheid has "identities, but no categoricity". From my
understanding of funcional apartheid, I would say, the problem is, that
they have "categoricity, but no identity".

However it is, identity-categoricity (sureness) deals with middle range
correlations und middle range order.

So far the attempt to position the seven essentialities according to their
meaning for creating entropy. From here it cannot be too difficult to
derive rules or questions to identify impaired essentialities (diagnosis)
and to create suitable medicine. We may discuss this further later. But
this is also powerful for any kind of BO! Are you sure At, that you want
to publish your book? Or are you thinking, that BO's know already what
they need to know and wouldn't learn anything new for them, so that the
medicine-aspect of your work is in the foreground?

While writing, I collected some further questions and remarks:

- The question whether there are more or less essentialities now reads as:
Are there other ways to increase entropy production?

- The first law of Thermodynamics (Energy conservation) is a restriction
for the dynamics of becoming: Let us imagine 3 colors, each pixel
containing different energy, for example red (low energy), yellow (middle
energy) and blue (high energy). Energy conservation requires, that if one
pixel turns from yellow to red, another yellow one must become blue, or
another red one must become yellow.

- Entropy/form - energy/content: While the content keeps the same over
time, the form increased all the time. What does it mean "the form
increases"?

- Thermodynamics make use of socalled thermodynamic potentials, which
optimise, if written in their natural variables (which tells about the
process: isochoric, isobar, isotherm etc.) I learnt about Entropy, that
it does only increase necessarily in an "abgeschlossenes (isolated?)
System" i.e. no material and no heat exchange, no external labour. Thus
"inner energy" is the thermodynamic potential. In a not isolated system,
entropy can decrease while sufficient energy is pumped into it. Before I
started to learn from you, At, I had the quite simple picture that entropy
is a measure for chaos and that a constant stream of energy can decrease
entropy (chaos) in the favour of order. Of course entropy increases in
the total system.

I see that you come to entropy increase while order is created because of
commutational increase of entropy. I haven't heard about this method of
calculating entropy before. Where does this method come from (Prigogine?),
and how is it linked to the standard physical concept of entropy?

- You cautioned that the static nature of the pixel-picture-model is an
"immense drawback". Is this drawback resolved, when the picture is taken
as a movie?

If yes: What would be the dynamical rules of this movie? How does the
picture evolve? Increase of entropy of chaos, the bifurcation point,
emergence or immergence depending on the seven essentialities.

I am afraid no: One can calculate the entropy D for different patterns and
find those with maximum entropy. But I don't see bifurcation points and
immergences while entropy increases further.

Thus we have seen with this simple model, how the seven essentialities
contribute to entropy production, but the real work is still to be done:
How do they work together to make emergence happen instead of immergence
at the bifurcation point?

Liebe Gruesse,
Winfried

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