QUANTUM THEORY OF MEASUREMENT IN RELATION TO A GENERAL THEORY OF OBSERVATION AND CONTROL.
Final rept., 1 Jul 65-31 Jun 66,
BOSTON UNIV MASS DEPT OF PHYSICS
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Part I discusses the unsolved logical problems of quantum mechanics insofar as they affect its interpretation as a theory of observation and control. In particular the notion of interpretive sets is introduced as a way of avoiding the strong atomicity postulate which is considered to be the essential source of these difficulties. A basic postulate underlying the theory of physical measurement is then that these sets satisfy a certain three-way symmetry principle. Part II is concerned with the consequences of this principle Triality for a semi-classical field theory, that is one that does not make explicit use of interpretive sets. It is indicated in Part I that a full development of this theory would require a sheaf-theoretic approach, where the geometric structure is supported by an algebraic one. Author
- Operations Research
- Quantum Theory and Relativity