The Logos Categorical Approach to QM: II. Quantum Superpositions

TL;DR

This paper explores quantum superpositions through the logos categorical approach, offering a clearer visualization and objective interpretation of quantum phenomena by emphasizing structural features and the role of immanent powers.

Contribution

It introduces a novel categorical framework that enhances understanding of quantum superpositions and their relation to core quantum features like contextuality and measurement.

Findings

Provides a new visualization of quantum superpositions.

Restores an objective representation of quantum states.

Links superpositions to key quantum features such as contextuality and probability.

Abstract

In this paper we attempt to consider quantum superpositions from the perspective of the logos categorical approach presented in [26]. We will argue that our approach allows us not only to better visualize the structural features of quantum superpositions providing an anschaulich content to all terms, but also to restore --through the intensive valuation of graphs and the notion of immanent power-- an objective representation of what QM is really talking about. In particular, we will discuss how superpositions relate to some of the main features of the theory of quanta, namely, contextuality, paraconsistency, probability and measurement.