On the assumptions underlying KS-like contradictions

TL;DR

This paper critically examines the foundational assumptions behind the Kochen-Specker theorem, focusing on how concepts of identity and distinguishability of quantum objects contribute to the contradiction in quantum theory interpretations.

Contribution

It provides a detailed analysis of the ontological assumptions, especially identity and distinguishability, underlying the Kochen-Specker contradiction in quantum mechanics.

Findings

Highlights the role of object identity assumptions in the theorem

Clarifies the ontological basis of the Kochen-Specker contradiction

Suggests new perspectives on quantum object distinguishability

Abstract

The Kochen-Specker theorem is one of the fundamental no-go theorems in quantum theory. It has far-reaching consequences for all attempts trying to give an interpretation of the quantum formalism. In this work, we examine the hypotheses that, at the ontological level, lead to the KochenSpecker contradiction. We emphasize the role of the assumptions about identity and distinguishability of quantum objects in the argument.