The Paraconsistent Logic of Quantum Superpositions

TL;DR

This paper proposes a novel paraconsistent logical framework to interpret quantum superpositions, emphasizing the role of contradictions as fundamental rather than problematic, offering a new perspective on quantum theory.

Contribution

It introduces a paraconsistent logic approach to quantum superpositions, challenging traditional avoidance of contradiction in quantum interpretations.

Findings

Develops a paraconsistent interpretation of quantum superpositions

Highlights contradictions as essential features of quantum states

Provides a preliminary framework for future quantum logic research

Abstract

Physical superpositions exist both in classical and in quantum physics. However, what is exactly meant by 'superposition' in each case is extremely different. In this paper we discuss some of the multiple interpretations which exist in the literature regarding superpositions in quantum mechanics. We argue that all these interpretations have something in common: they all attempt to avoid 'contradiction'. We argue in this paper, in favor of the importance of developing a new interpretation of superpositions which takes into account contradiction, as a key element of the formal structure of the theory, "right from the start". In order to show the feasibility of our interpretational project we present an outline of a paraconsistent approach to quantum superpositions which attempts to account for the contradictory properties present in general within quantum superpositions. This approach must not be understood as a closed formal and conceptual scheme but rather as a first step towards a different type of understanding regarding quantum superpositions.