Dear colleagues,
the term "string" as mentioned by Joseph triggers a comment.
We can use the term "string" like any of the terms "sqrt()", "sin()","route
between()", etc. The term "string" does have a solid concept behind it, but,
alas, it needs more arguments. A string is to be observed to connect
fragmentational states and spatial coordinates. HOW MANY spatial coordinates
(and fragmentational states) a string connects is one of the properties of
the string, as are properties of a string WHICH fragmentational states cum
spatial coordinates the string connects.
The idea of a string comes from observing elements of a set being
resequenced. If one reorders a set, the elements move in a way that is very
precisely given. Those elements that move together during a rearrangements
constitute a sequenced group. The movements of members of this sequenced
group are called a "string".
To visualise the concept, it helps to write up the first 136 additions and
then rearrange this collection. Let me quote from one of my papers: (here we
discuss the sequential place of an addition a+b=c among other additions.
Writing up 1+1, 1+2, 1+3, 1+4,..., 16+16 gives us the 136 cases we sort -
order, sequence - around. We then resort from sorting order ab - what we see
now in 1+1,1+2,1+3,...- into order ba, which runs like
1+1,1+2,2+2,1+3,2+4,3+3,1+4,...)
<quote>
Place As Such, Place of Each Case
The order implicates a place for each case. If the order changes, the place
of the case may or will change. E.g. in order AB the sequence of the cases
is (1,1),(1,2),(1,3),... In order BA this modifies into
(1,1),(1,2),(2,2),(1,3).... Place 3 in an ordered sequence is (1,3) if the
order is AB and (2,2) if the order is BA. The place* of* (1,3) – the place
now as an attribute of the specific pair of *(a,b)* – is 3 if the order is
AB and 4 if the order is BA.
Threads
The term *thread* can be demonstrated on the place changes that follow from
the change in order from AB to BA. The thread that involves (1,3) moving
from place 3 to place 4 concurrently causes successive place changes of
elements {3, 4, 7, 22, 23, 30, 107, 114, 115, 130, 133, 134, 120, 116, 66,
71, 21, 17}.
<endquote>
So, if one talks of strings, one has a clear definition of the term, but the
sentence gains on precision if one adds, which reorder one means. Like
pointing out the meaning of the "min()" function is one thing, and pointing
out which element we mean, it is helpful to provide the arguments, too.
The case is similar with the term "structure" for which there exists also a
clean definition. The idea behind the term "vacuum" can be demonstrated and
receive a definition by observing the spatial points to which no strings are
attached.
The idea of Strings is an implication of the idea of Order which is an
implication of the term Number of Summands.
Karl
2010/11/14 Srinandan Dasmahapatra <s...@ecs.soton.ac.uk>
> Hi,
>
> I've been meaning to send a note on Kevin Kirby's brief outline of
> Conrad's fluction framework, but haven't had the time to compose my
> thoughts coherently. I realised that I wouldn't really have the time
> to do so, so I had better send something half-baked along anyway to
> contribute to the discussion. Kevin concludes his piece with the
> following remark: <quote>Overall, within fluctuon theory "the
> interaction between the manifest organism and its unmanifest vacuum
> sea image abets the evolution, persistence, and maintenance of this
> unique complexity [of life]". This is a fascinating and rich notion.
> What can we unfold from this notion now in 2010?</quote>
>
> The way I see it, organisms are organisational units, and we tend to
> view genomic content as informational units. However, genomic
> identifiers are merely one way of providing information tags. Apart
> from the presence/absence of sequence, there is also the notion of the
> multiple/collective (to borrow Alain Badiou's language) -- collections
> of molecules that bear that signature. It is these collectives that
> comprise the dynamical state of cells and organisms, and the
> cardinalities of these sets may often be used as a proxy for snapshots
> of organismal state. This tells us that organisational units such as
> tissues may be characterised via such cardinalities -- liver cells and
> heart cells have different protein number distributions within the
> same organism yet protein distributions in liver cells are more
> similar across taxa. Hence the fluctuon concept may be viewed in this
> concept as the creation and annihilation of molecules following gene
> expression, or the transition into and out of active or inert
> molecular state, around the "vacuum" -- the steady state of an open
> dynamical network. The response characteristics of this proteomic or
> messenger RNA cloud and the entropy production (as measured in terms
> of fluctuating numbers around the steady state) offer dynamical
> proxies of the organism, extending the static snapshot. This becomes
> conceptually and mathematically accessible to perturbative ideas from
> quantum field theory, and the recasting of stochastic processes via
> Doi's 1976 work (Doi M (1976) Second quantized representation for
> classical many-particle systems. J Phys A: Math Gen 9: 1465–1477) has
> been used, for example, in Sasai M, Wolynes PG (2003) Stochastic gene
> expression as a many-body problem Proc Natl Acad Sci U S A 100(5):
> 2374–2379 to do that. Moreover, neutral evolution offers a landscape
> of adjacent "vacua" in the design space of possible gene expression
> clouds and their response characteristics. The protein identity
> matching test pointed out the significance of non-coding, regulatory
> sequences (King MC, Wilson AC, "Evolution at Two Levels in Humans and
> Chimpanzees," Science1975, 188:107-16) indicating the necessity of
> moving beyond identifiers as (sole) information carriers and to what
> is now called evo-devo. The "vacua" in the "fluctuon" picture
> provides a way of characterising the landscape in this metaphorical
> spatial remapping of a historical process which register the dynamical
> responses of gene expression clouds of organismal, histological and
> cytological collectives at multiple-generational evolutionary time
> scales, with neutrality exploring the "adjacent possible" of these
> vacua, via alternative cis-regulatory underpinnings of dynamical
> states. This has been explored in the popular press by Gerhart and
> Kirschner in The Plausibility of Life -- they reference Conrad in
> there, to bring it back to where the discussion started.
>
> Cheers,
> Sri
>
>
> Srinandan Dasmahapatra
> School of Electronics and Computer Science
> University of Southampton
> Southampton SO17 1BJ
> Phone: +44(0)2380594503
> s...@ecs.soton.ac.uk
>
>
> _______________________________________________
> fis mailing list
> fis@listas.unizar.es
> https://webmail.unizar.es/cgi-bin/mailman/listinfo/fis
>
_______________________________________________
fis mailing list
fis@listas.unizar.es
https://webmail.unizar.es/cgi-bin/mailman/listinfo/fis
