<一般論文>Everett 解釈成立における情報概念

Abstract

The Many Worlds Interpretation (hereafter MWI) is one of the most famous interpretation of quantum mechanics. MWI is based on Hugh Everett III's thesis written in 1957, but his own ideas are not MWI itself. Everett's interpretation is based on a universal wave function, a relative state formulation, states branching (splitting), and a correlation structure. Some of these ideas are similar to those used in MWI. But the role and background of correlation structure is vague in Everett (1957). Byanalyzing some hand-written papers and his draft of the dissertation, we can findroles and background of the correlation-structure. First his word "correlation" was defined by Shannon's information theory in his draft and some hand-written papers.In his draft, a correlation between a state and another state and between an operator and another one was defined. His trial to connect quantum mechanics with the informationtheory can be seen in a hand-written paper. Second, in Everett (1957) the correlation is defined only in observation processes. On the contrary, in his earlier works, the correlation plays some roles also in measurement processes, in particular time evolution of states interacting with another state. With this idea of correlations Everett proposed the quantum mechanics with out any superfluous hypothesis and his idea of correlation has a realistic character.