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

TL;DR

This paper explores the application of measurement theory, or quantum language, to formulate the Heisenberg uncertainty principle and quantum Zeno effects within the linguistic interpretation of quantum mechanics, highlighting partial successes and ongoing challenges.

Contribution

It attempts to extend the linguistic interpretation of quantum mechanics to include key quantum phenomena like uncertainty and Zeno effects, offering a novel perspective.

Findings

Partial formulation of Heisenberg uncertainty principle in linguistic terms

Initial attempts to describe quantum Zeno effects within the linguistic interpretation

Acknowledgment of challenges and incomplete success in these formulations

Abstract

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.