[Show abstract][Hide abstract] ABSTRACT: We address the context within which ‘Natural’ computation can be carried out, and conclude that a birational ecosystemic hierarchical framework would provide for computation which is closer to Nature. This presages a major philosophical change in the way Science can be carried out. A consequence is that all system properties appear as intermediates between unattainable dimensional extremes; even existence itself. We note that Classical and Quantum mechanical paradigms make up a complementary pair. What we wish to do is to bring all of Science under a generalized umbrella of entity and its ecosystem, and then characterize different types of entity by their relationships with their relevant ecosystems. The most general way to do this is to move the ecosystemic paradigm up to the level of its encompassing logic, creating a complementary pair of conceivably different logics – one for the entity we are focusing on; one for the ecosystem within which it exists – and providing for their quasi-autonomous birational interaction.
[Show abstract][Hide abstract] ABSTRACT: The control of autonomous systems requires provision of at least a synthetic form of intelligence or sapience. While descriptions of these are common, there is no current model which relates their definitions to the structure of an information processing system. We have constructed a self-consistent birational general model of a hierarchical system, and associated data, information, understanding and sapience with aspects of its constitution. We describe the general hierarchical model and its characteristics relevant to sapient control. We associate data with single scalar levels of the hierarchy, information with birational level pairs, understanding with the integration of three adjacent levels, and sapience with the overall integration of the entire system.
[Show abstract][Hide abstract] 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. We present 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 nonliving systems is attributed to a change in the style of emergence which characterizes the appearance of new scalar levels.
[Show abstract][Hide abstract] ABSTRACT: The redefinition of mathematics as an emergent property of environmental reactive processing blurs the distinction between the evolution of living entities and "computation". We argue that the identification of hierarchical evolutionary metastates with quasi-particulate quantum states leads to a successful unified view of our surroundings. In this scheme an emergent process corresponds to the second half of an inter-quantum state transition, and the distinction between animate and inanimate becomes a quantifiable parameter.
No preview · Article · Jan 1998 · Acta Polytechnica Scandinavica Mathematics and Computing Series
[Show abstract][Hide abstract] ABSTRACT: An experimental study of diffraction gratings reactive ion etched in germanium is performed. Gratings are designed for the 10.6 mu m infrared CO2 laser. Different etchants have been compared to pattern 3-mu m-deep grooves in the germanium layers evaporated on a GaAs substrate. The experimental diffraction efficiency (maximum 30%) of the prototype gratings are in good accordance with the theoretical predictions, The U-shaped grooves have still to be further optimized. (C) 1996 American Institute of Physics.
No preview · Article · Dec 1996 · Applied Physics Letters
[Show abstract][Hide abstract] ABSTRACT: The examination of inherent defects in classical computing structures leads to the proposition of an intuitive computational machine based on distributed statistical processing. The implications of distributed processing and inter-model statistics are considered, and the usual fundamental requirement for computational inversion is discounted. A possible form of primary relational database is proposed, and the possibilities of differential model-fit mapping and the auto-generation of model rules are suggested. The desirable decomposition of computation into interrelational and decision-making processes presupposes an intermediate structure capable of linking the two in a bi-directional communicative manner. We propose a query-reflection architecture to achieve this and describe its required characteristics. The pseudo-implementation of such a structure demands a statistical treatment of the combination of counter-propagating data and knowledge, which suggests a new approach to the design of fast optical computers.