A CALCULUS FOR A BOOTSTRAP DYNAMICS.
Abstract
An outline and conceptual basis are presented for a calculus in which the elements are a finite set of similar entities capable of undergoing interactions, and the process of bringing two elements into consideration together constitutes a new element that is of the same kind as the original ones and is capable itself of being brought into consideration with the members of the first set. The elements form a hierarchy and under certain conditions can be simply ordered so that the sets are finite and their order calculable. The simple ordering is used to describe a bootstrap system for interactions between particles and to define the physical quantity of time. A relationship between levels in the hierarchy expresses the recursive nature of each decision by using the total possible number of decisions at each level as the algebraic basis for the set at the next more complex level. The system accounts for dynamic processes in terms of discrete interactions. Its non-formal expression is related to concepts of information transfer. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1965
- Accession Number
- AD0637560
Entities
People
- Edward W. Bastin