Accepted:
----
| |
/vol03/victor2/ | © Copyright 1996 | |||
| Volume 03 | Received: Accepted: |
---- ---- |
|||
|
Symmetry in Structural Complexity and a Model of Formation
Victor Korotkich |
|
| Abstract | |
| Basically, concepts of complexity are abstracted within an approach that investigates natural phenomena by assuming the existence of independent and separable parts. This approach is appropriate only in certain limited contexts, as in classical physics, and involves difficulties, as in quantum theory and cognitive science since, in principle, nature is one unbroken whole. In searching for an alternative, understanding the world as a dynamic web of relations is gaining recognition and embodies the idea that natural phenomena cannot be seen as isolated entities but only as integrated parts of a whole. The main problem that results is the translation of this viewpoint into an adequate mathematical form. The key idea of our translation is to try to use a web of relations between integers as a model for the dynamic web of relations. Practically, the idea is realised within the framework of a structural space wherein the web of integer relations emerges and acquires meaning. The main goal of this paper is to explain how the formalism of structural space tries to realise the idea and explore some facts about the possibility of defining a formation of structures in terms of the integer web. In this regard, a geometrical interpretation of structural space, which gives the possibility of visualisation, plays a very special role. | |
| Full Text |
|
|
Multimedia Links (none) Reference Links (none) Citation Reference |
Get viewers for PS & PDF   |
