Against Collapses, Purity and Separability Within the Definition of Quantum Entanglement

TL;DR

This paper critiques the traditional definition of quantum entanglement based on particle metaphysics and collapse postulates, proposing a non-collapse interpretation that redefines entanglement without referencing particles or separability.

Contribution

It introduces a non-collapse approach to quantum mechanics that avoids particle metaphysics and redefines entanglement accordingly.

Findings

Critiques the orthodox particle-based interpretation of entanglement.

Proposes a non-collapse interpretation that does not rely on space-time separability.

Concludes the need to redefine quantum entanglement in non-particle frameworks.

Abstract

In this paper we we will argue against the orthodox definition of quantum entanglement which has been implicitly grounded on several widespread (metaphysical) presuppositions which have no relation whatsoever to the formalism of QM. We will show how these presuppositions have been introduced through a naive interpretation of the quantum mathematical structure which assumes dogmatically that the theory talks about "small particles" represented by pure states (in general, superpositions) which suddenly "collapse" when a measurement takes place. In the second part of this paper we will present a non-collapse approach to QM which makes no use whatsoever of particle metaphysics, escaping the need to make reference to space-time separability or the restriction to certain predictions of definite valued binary properties. Our paper ends up concluding the essential need to redefine the notion of quantum entanglement, at least in the cases of: i) non-collapse interpretations of QM; or, ii) any other interpretation which abandons the idea that QM makes reference to "small particles".