Linguistic interpretation of quantum mechanics : towards world-description in quantum language

Raoni Wohnrath Arroyo, Gilson Olegario da Silva

Shiro Ishikawa

Recently we proposed measurement theory (i.e., quantum language, or the linguistic interpretation of quantum mechanics), which is characterized as the linguistic turn of the Copenhagen interpretation of quantum mechanics. This turn from physics to language does not only extend quantum theory to classical theory but also yield the quantum mechanical world view (i.e., the (quantum) linguistic world view). Thus, we believe that the linguistic interpretation is the most powerful in all interpretations. Our purpose is to examine the power of measurement theory, that is, to try to formulate Heisenberg uncertainty principle (particulary, the relation between Ishikawa's formulation and so called Ozawa's inequality) and quantum Zeno effects in the linguistic interpretation. As our conclusions, we must say that our trials do not completely succeed. However, we want to believe that this does not imply that we must abandon our linguistic interpretation.

Roland L. Omnes

Shiro Ishikawa

Recently we proposed the linguistic interpretation of quantum mechanics (called quantum and classical measurement theory), which was characterized as a kind of metaphysical and linguistic turn of the Copenhagen interpretation. This turn from physics to language does not only extend quantum theory to classical systems but also yield the quantum mechanical world view (i.e., quantum philosophy or quantum language). The purpose of this paper is to formulate the double-slit experiment, the quantum eraser experiment, Wheeler's delayed choice experiment, Hardy's paradox and the three boxes paradox (the weak value associated with a weak measurement due to Aharonov, et al.) in the linguistic interpretation of quantum mechanics. Through these arguments, we assert that the linguistic interpretation is just the final version of so called Copenhagen interpretation. And therefore, we conclude that the Copenhagen interpretation does not belong to physics (i.e., the realistic world view) but the linguistic world view.

Shiro Ishikawa

As the fundamental theory of quantum information science, recently I proposed the linguistic interpretation of quantum mechanics, which was characterized as the linguistic turn of the Copenhagen interpretation of quantum mechanics. This turn from physics to language does not only extend quantum theory to classical theory but also yield the quantum mechanical world view. Although the wave function collapse (or more generally, the post-measurement state) is prohibited in the linguistic interpretation, in this paper I show that the phenomenon like wave function collapse can be realized. That is, the projection postulate is completely clarified in the linguistic interpretation.

Federico Holik