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Re: Rosenean theory, Nature article



Tim,

Good start on a letter to Nature. Some comments/excerpts:

Tim Gwinn wrote:

The question that arises here is that - if this is true - then what is
required of the models for such a system? Clearly, at the least, what is
required is that the models can reflect this nonfractionability.

However, state-based formalisms (and thus, models expressed in those
formalisms) do not have within them the capacity to express
nonfractionability. If material systems are reducible to some canonical
expression in a state-based formalism, then the imposition of additional
constraints (such as "power-law" relationships) to a state-based description
do not help the situation at all. Another way to state this is to say that
there is nothing in a state-based description that can entail
nonfractionable features or properties.(see LI 209-210)

These make sense to me, but I think we'll need more friendly words, clear definitions in easier words, or good examples to use for 1) state-based formalisms, 2) canonical expressions, 3) constraints, and 4) entail. Given the level knowledge of that Ottini I think we need to communicate to a general audience rather than experts.

This consideration informs us that other formalisms are required for
modelling complex systems, and that these formalisms do not take the form of
additional constraints on existing state-based formalisms. Instead, the
requirement is to invoke formalisms which inherently have the capacity to
express the nonfractionable properties, and which are thus incommensurable
with a state-based description. What this says is not that the 'laws of
physics' are wrong per se as currently expressed, but rather that the
assumption that the current laws of physics are exhaustive is wrong, and
that the quest for a single canonical formal description of all material
systems is not well-founded.

Other terms to deal with 1) complex, 2) incommensurable, 3) exhaustive, 4) single canonical formal description, 5) material system, 6) well-founded. I am just flagging these for myself as a note on what terms/concepts are most important to get across clearly.

On another note, I would be highly skeptical of calling the web and
power-grid systems "complex", insofar as they do not - of their own accord -
grow and adapt themselves. Without human direction, they are quite inert.

I can see your point, but one potential advantage such systems provide for revealing/developing/explaining Rosen theory is the combo of 1) existing science does not seem capable of predicting their behavior and guiding their management as in for robust and fault tolerant performance, and 2) to the degree that such understanding and management issues are involved with network topology and/or relational systems they ought to be great test cases for application of Rosen theory.

I don't have a specific proposal or great details on these points, but
I offer that they might be worth exploring. One quick idea that
comes to mind is to compare network topologies between human
(power grid, internet) and natural (ecosystems, neurons, etc.)
systems to see if there are general principles able to show major
similarities or differences.

I'll take your starter points above and try to draft a short letter.
I think we could start with a very short letter just to flag the
issue that based on this Ottini article and its foray into complexity
Nautre and anyone that wants to really work on complexity ought
to know about Rosen and his work/ideas. Then we can present a
few examples such as the ones you treat above. We might even
mention efforts such as current researchers, the lists, websites, etc.
Less of a science publication and more an informal letter to the
editor. Sound OK? (After that I think we should do a more formal
publication.)

So far it is you, me and Judith for authors...

Dan