A NEW FORMULATION OF MEASUREMENT THEORY

Shiro Ishikawa (Japan)

Received November 24, 2007

Abstract

As a kind of generalization of dynamical system theory, we recently proposed measurement theory, which has two formulations, i.e., -algebraic formulation and -algebraic formulation. However, we now think that this assertion should be reconsidered, that is, the two formulations should be combined. Here we propose the new compromise formulation, which has both merits of -algebraic formulation and -algebraic formulation.

Keywords and phrases: measurement, mechanical world view, dynamical system theory, quantum mechanics, probability.