Extracontextuality and Extravalence in Quantum Mechanics

TL;DR

This paper proposes a conceptual framework for understanding quantum mechanics through the interplay of modalities and contexts, emphasizing extracontextuality and extravalence, and relating these to foundational theorems.

Contribution

It introduces the concepts of extracontextuality and extravalence in quantum modalities, providing a new interpretative perspective linked to key theorems.

Findings

Highlights the roles of extracontextuality and extravalence in quantum foundations

Connects these concepts to Kochen-Specker and Gleason theorems

Offers a new interpretative framework for quantum mechanics

Abstract

We develop the point of view where Quantum Mechanics results from the interplay between the quantized number of "modalities" accessible to a quantum system, and the continuum of "contexts" that are required to define these modalities. We point out the specific roles of "extracontextuality" and "extravalence" of modalities, and relate them to the Kochen-Specker and Gleason theorems.