Heisenberg uncertainty principle and quantum Zeno effects in the linguistic interpretation of quantum mechanics

摘要

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