Quantum measurement problem and cluster separability

TL;DR

This paper proposes a modified quantum measurement model that incorporates cluster separability and detector-based readings, addressing the measurement problem and objectification in quantum mechanics.

Contribution

It introduces new rules for system separation status changes during measurement, ensuring objectification without disrupting quantum mechanics' core principles.

Findings

A measurement model satisfying probability reproducibility and objectification.

New rules for separation status changes during measurement.

Similarities with wave function collapse.

Abstract

A modified Beltrametti-Cassinelli-Lahti model of measurement apparatus that satisfies both the probability reproducibility condition and the objectification requirement is constructed. Only measurements on microsystems are considered. The cluster separability forms a basis for the first working hypothesis: the current version of quantum mechanics leaves open what happens to systems when they change their separation status. New rules that close this gap can therefore be added without disturbing the logic of quantum mechanics. The second working hypothesis is that registration apparatuses for microsystems must contain detectors and that their readings are signals from detectors. This implies that separation status of a microsystem changes during both preparation and registration. A new rule that specifies what happens at these changes and that guarantees the objectification is formulated and discussed. A part of our result has certain similarity with 'collapse of the wave function'.