[Fis] Information and communication

> I am not a specialist of relativity. In the non relativistic model,
time and space are usually mixed via stochastic processes rather
than via 4-dimensional distributions. Now moving to some Minkowski
space, we have to exhibit a sigma-algebra before speaking of any
probability law. May be FISers aware of this stuff could tell us
whether or not the Minkowski space is indeed measurable ?

Dear Michel,

This is not the direction in which I would like to take this because it
might easily lead us away from information theory. The four-dimensional
probability distribution representing a hyperspace can encompass the
various geometrical and temporal subdynamics plus their interaction
terms.

In general, a structure can be modeled as a network at each moment in
time and thus, be represented as a two-dimensional probability
distribution (matrix). Over time this structure can develop along a
trajectory along the time axis. This can be modeled as three-dimensional
probability distribution. Interacting structures can then be modeled
using a four-dimensional probability distribution. Information theory
provides us with the tools for the statistical decomposition.

For example, I mentioned before the study of European monetary
integration. One can study the emergence of a monetary system (leading
to the Euro) using a trajectory of the exchange rates (transaction
matrices) over time. Economic integration, however, is different from
monetary integration. The interaction between monetary and economic
integration can be studied in terms of whether or not coevolution
emerges using a four-dimensional probability distribution.

Perhaps, the negative value of the mutual information in three
dimensions (Aleks's configuragional information) can be considered as an
effect of a fourth (hitherto) latent dimension operating and thus
reducing the uncertainty in the three dimensions interacting mutually. I
am not sure about this, but I would like to hear Aleks's (and perhaps
Bob's) ideas about such an approach.

With kind regards,

Loet

  _____

Loet Leydesdorff
Amsterdam School of Communications Research (ASCoR)
Kloveniersburgwal 48, 1012 CX Amsterdam
Tel.: +31-20- 525 6598; fax: +31-20- 525 3681
 <mailto:loet@leydesdorff.net> loet@leydesdorff.net ;
<http://www.leydesdorff.net/> http://www.leydesdorff.net/

 <http://www.upublish.com/books/leydesdorff-sci.htm> The Challenge of
Scientometrics ; <http://www.upublish.com/books/leydesdorff.htm> The
Self-Organization of the Knowledge-Based Society

 
Received on Tue Jun 1 11:54:27 2004