A new approach to quantum measurement problem: cluster separability

Hájı́ček, P.

doi:10.1088/1742-6596/306/1/012035

Cited by 4 publications

(9 citation statements)

References 10 publications

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“…This is different in the reformed quantum mechanics: only some subset of all self-adjoint operators contains observables and the subset even depends on preparation. Next, exceptions to the standard rule on composition of identical systems are described [5]:…”

Section: Basic Definitions and Rulesmentioning

confidence: 99%

“…Classical properties are understood as specific objective properties of high-entropy states of macroscopic quantum systems (including Newtonian mechanics) and classical limit is a suitably taken high-entropy limit [2,4]. The present paper is a continuation of our work on the measurement [3][4][5].…”

Section: Introductionmentioning

confidence: 95%

“…In several recent papers [1][2][3][4][5], a new understanding of quantum mechanics is proposed, called The Reformed Quantum Mechanics. While the statistical character and non-locality remain unchanged and are considered as facts of life, the main thrust of the reform is aimed at the emergence of classical theories.…”

Section: Introductionmentioning

confidence: 99%

“…The rule describes an objective process inside a macroscopic detector including a change of kinematic description, a unitary evolution and a state reduction. For details, see [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

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Changes of Separation Status During Registration and Scattering

Hájı́ček

2012

Found Phys

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In our previous work, a new approach to the notorious problem of quantum measurement was proposed. Existing treatments of the problem were incorrect because they ignored the disturbance of measurement by identical particles and standard quantum mechanics had to be modified to obey the cluster separability principle. The key tool was the notion of separation status. Changes of separation status occur during preparations, registrations and scattering on macroscopic targets. Standard quantum mechanics does not provide any correct rules that would govern these changes. This gives us the possibility to add new rules to quantum mechanics that would satisfy the objectification requirement. The method of the present paper is to start from the standard unitary evolution and then introduce minimal corrections.Several representative examples of registration and particle scattering on macroscopic targets are analysed case by case in order to see their common features. The resulting general Rule of Separation Status Changes is stated in the Conclusion.

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Section: Basic Definitions and Rulesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

“…The rule describes an objective process inside a macroscopic detector including a change of kinematic description, a unitary evolution and a state reduction. For details, see [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Changes of Separation Status During Registration and Scattering

Hájı́ček

2012

Found Phys

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“…The double-ruling and the Schrödinger-cat paradoxes are shown to be related. They can both be solved if the nature of cluster separability is clarified [31,32]. The meaning and the role of preparations and registrations appear then in a new light.…”

Section: Introductionmentioning

confidence: 99%

Survey of an approach to quantum measurement, classical properties and realist interpretation problems

Hájı́ček¹,

Tolar²

2010

Acta Physica Slovaca. Reviews and Tutorials

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The paper gives a systematic review of the basic ideas of (non-relativistic) quantum mechanics including all improvements that result from previous work of the authors. The aim is to show that the new theory is self-consistent and that it reproduces all measurable predictions of standard quantum mechanics. The most important improvements are: 1) A new realist interpretation of quantum mechanics assumes that all properties that are uniquely determined by preparations can be viewed as objective. These properties are then sufficient to justify the notion of quantum object. 2) Classical systems are defined as macroscopic quantum objects in states close to maximum entropy. For classical mechanics, new states of such kind are introduced, the so-called maximum-entropy packets, and shown to approximate classical dynamics better than Gaussian wave packets. 3) A new solution of quantum measurement problem is proposed for measurements that are performed on microsystems. First, it is assumed that readings of registration apparatuses are always signals from detectors. Second, an application of the cluster separability principle leads to a locality requirement on observables and to the key notion of separation status. Separation status of a microsystem is shown to change in preparation and registration processes. This gives preparation and registration new meaning and enhances the importance of these notions. Changes of separation status are alterations of kinematic description rather than some parts of dynamical trajectories and thus more radical than 'collapse of the wave function'. Standard quantum mechanics does not provide any information of how separation status changes run, hence new rules must be formulated. As an example of such a new rule, Beltrametti-Cassinelli-Lahti model of measurement is modified and shown then to satisfy both the probability-reproducibility and the objectification requirements.

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Emergence of classical theories from quantum mechanics

Hájı́ček

2012

J. Phys.: Conf. Ser.

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Three problems stand in the way of deriving classical theories from quantum mechanics: those of realist interpretation, of classical properties and of quantum measurement. Recently, we have identified some tacit assumptions that lie at the roots of these problems. Thus, a realist interpretation is hindered by the assumption that the only properties of quantum systems are values of observables. If one simply postulates the properties to be objective that are uniquely defined by preparation then all difficulties disappear. As for classical properties, the wrong assumption is that there are arbitrarily sharp classical trajectories. It turns out that fuzzy classical trajectories can be obtained from quantum mechanics by taking the limit of high entropy. Finally, standard quantum mechanics implies that any registration on a quantum system is disturbed by all quantum systems of the same kind existing somewhere in the universe. If one works out systematically how quantum mechanics must be corrected so that there is no such disturbance, one finds a new interpretation of von Neumann's "first kind of dynamics", and so a new way to a solution of the quantum measurement problem. The present paper gives a very short review of this work.

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A new approach to quantum measurement problem: cluster separability

Cited by 4 publications

References 10 publications

Changes of Separation Status During Registration and Scattering

Changes of Separation Status During Registration and Scattering

Survey of an approach to quantum measurement, classical properties and realist interpretation problems

Emergence of classical theories from quantum mechanics

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