Truth problem in the context of interpretations of quantum logic

TL;DR

This paper explores the truth problem in quantum logic interpretations, proposing that modal expansions can reveal the relationship between quantum mechanics and logic, framing quantum research as a form of possible worlds semantics.

Contribution

It introduces a modal logic framework to analyze quantum logic, suggesting a new perspective on quantum research as a semantics of possible worlds.

Findings

Modal expansions reveal relations between quantum mechanics and quantum logic.

Quantum research can be viewed as a semantics of possible worlds.

Logical features of quantum phenomena can be distinguished as possible or necessary.

Abstract

The paper defends the thesis that analysis of truth problem in the context of interpretations of quantum logic allows to reveal the prospect of elicitation of specifics of the relations between quantum mechanics and quantum logic in a context of modal expansions of quantum logic. It is found the way for solution of the problem of detection of features of creation of quantum-mechanical researches as a single case of semantics of "the possible worlds". Studies in the field of logic foundation of quantum physics receive the status of "possible quantum mechanics". Therefore they can be presented not simply as "truth" and "false" distinction within judgments about the physical phenomena but also as display logically possible and (or) impossible, necessary and (or) casual constructions of physical sciences.