Autocreative hierarchy II: dynamics self-organization, emergence and level-changing

Abstract

Natural systems are characterized more by the way they change than by their appearance at any one moment in time. There is, however, no self-consistent theory capable of ascribing the development of living hierarchical organisms to conventional scientific rationality. We have derived a generic model for the dynamics and evolution of natural hierarchical systems. This paper presents the resultant birational dynamics which may be attributed to a real hierarchy. We describe the nature of self-organization and of emergence in hierarchies, and the rationality which may be employed to move between scalar levels. We propose the use of diffusely-rational recursive Dempster-Shafer-probability to model inter-hierarchical-level complex regions, and consider its implications. The evolution of living from non-living systems is attributed to a change in the style of emergence which characterizes the appearance of new scalar levels.

The Future of Management: Where is Gary Hamel Leading Us?

“…9 We can observe the evolution of hierarchical structures during recent decades, and in particular, note how hierarchies of control based upon elaborate systems of monitoring, reporting and authorization have given way to hierarchies of integration where hierarchy supports subunit autonomy and may even facilitate self-organization. 10 The changes in hierarchical structures in recent years e delayering, greater informality, permeability of internal and external boundaries, increased lateral communication and collaboration, the shift of hierarchical control to performance-based management e point to the continuing efficacy of the basic structural features of organizations and the enduring relevance of the organizational principles that underlie them. Organizations exist to extend human creativity ... the essential task of management is to achieve cooperation and coordination among individuals organizational hierarchies of open source communities, coordination is achieved through detailed rules that relate to almost every aspect of operation and administration, extending from format specifications for submitting patches, to operational procedures for approving new code, to administrative processes for appointing officers and allocating roles.…”

Toward Artificial Sapience

“…In a world where Newtonian physics provides a good approximation across a wide range of scales, the former consists of a set of Newtonian potential wells (Cottam et al 1999a), which is reductive in terms of local level description towards the highest level. The latter then consists of the set of inter-Newtonian-level quantum-entanglement-like regions (Cottam, Ranson and Vounckx 2003b), each of which provides a rational ecosystem for its adjacent Newtonian level (Cottam, Ranson and Vounckx 1999b), and this set is reductive towards nonlocality (Cottam, Ranson, and Vounckx 1997). The complementarity of the two hierarchies is functionally symmetrical: the quantum-like system provides a rational ecosystem for the Newtonian one; the Newtonian system provides a rational ecosystem for the quantum-like one (see Fig.…”

“…3). Newtonian and quantum mechanical descriptions are not parallel scale-related physical models, they are complementary representations of our surroundings (Cottam et al 2003b).…”

“…One of the two hyperscalar systems corresponds to 'information which is accessible at specific scales of the global system' (i.e. 'normal' system models); the other corresponds to 'information which is inaccessible at specific scales, but which complements that which is accessible' (Cottam et al 2003b) (i.e. 'hidden variables' which promote transit between Fig.…”

Scale, Hyperscale and Metascalar Information in Living Systems

“…We have previously published [1,2] extensive details of the relationships between different scales or levels of organization in living systems, and here we will only refer to those characteristics which are relevant to our present purpose. Dodig-Crnkovic and Giovagnoli [3] have described Nature as a hierarchically-organized network of networks, which corresponds well to our own viewpoint.…”