Quantum measurement problem and cluster separability

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'.

31 pages, no figure. Published version

References in corpus (2)

• Intrinsic properties of quantum systems
• Quantum models of classical mechanics: maximum entropy packets

Cited by in corpus (7)

• Survey of an approach to quantum measurement, classical properties and realist interpretation problems
• A new approach to quantum measurement problem: cluster separability
• Quantum models of classical world
• Changes of separation status during registration and scattering
• Realist model approach to quantum mechanics
• Emergence of classical theories from quantum mechanics
• Cluster separability, indispensability of detectors and quantum measurement problem