# A conjecture concerning determinism, reduction, and measurement in quantum mechanics

@article{Jabs2012ACC, title={A conjecture concerning determinism, reduction, and measurement in quantum mechanics}, author={Arthur Jabs}, journal={Quantum Studies: Mathematics and Foundations}, year={2012}, volume={3}, pages={279-292} }

It is shown that it is possible to introduce determinism into quantum mechanics by tracing the probabilities in the Born rules back to pseudorandomness in the absolute phase constants of the wave functions. Each wave function is conceived to contain an individual phase factor $$\exp (\mathrm {i}\alpha )$$exp(iα). In an ensemble of systems, the phase constants $$\alpha $$α are taken to be pseudorandom numbers. A reduction process (collapse), independent of any measurement, is conceived to be a…

## 13 Citations

### Unitary-Only Quantum Theory Cannot Consistently Describe the Use of Itself: On the Frauchiger–Renner Paradox

- Philosophy
- 2020

The Frauchiger–Renner Paradox is an extension of paradoxes based on the “Problem of Measurement,” such as Schrödinger’s Cat and Wigner’s Friend. All these paradoxes stem from assuming that quantum…

### The complexity of a quantum system and the accuracy of its description

- PhysicsArXiv
- 2021

The quantization of the amplitude allows us to formally introduce a certain kind of determinism into quantum evolution, which is important for complex systems.

### Quantum mechanics in terms of realism

- Physics
- 2016

We expound an alternative to the Copenhagen interpretation of the formalism of nonrelativistic quantum mechanics. The basic difference is that the new interpretation is formulated in the language of…

### Conceiving Particles as Undulating Granular Systems Allows Fundamentally Realist Interpretation of Quantum Mechanics

- PhysicsEntropy
- 2021

By conceiving particles as granular systems composed of numerous extremely sensitive fluctuating subcorpuscles, this study proposes the possible existence of a local fundamentally realist interpretation of quantum mechanics.

### Dense Quantum Measurement Theory

- Physics, Computer ScienceScientific Reports
- 2019

The dense measurement strategy aims at fixing the main drawbacks of standard quantum measurements by achieving a significant reduction in the number of necessary measurement rounds and by radically improving the success probabilities of finding global optimal outputs.

### Two-path interference of single-particle pulses measured by the Unruh–DeWitt-type quantum detector

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2022

We study the two-path interference of single-particle pulses measured by the Unruh–DeWitt-type quantum detector, which itself is a quantum state as well as the incoming pulse, and of which the…

### Value Is a (Quantum) State

- Philosophy
- 2020

Abstract This work describes the fundamental features of value that have roots in modern physics. Contrary to the traditional view, we believe that value does not have a proper existence, neither as…

### How quantum mechanics with deterministic collapse localizes macroscopic objects

- Physics
- 2019

Why microscopic objects exhibit wave properties (are delocalized), but macroscopic do not (are localized)? Traditional quantum mechanics attributes wave properties to all objects. When complemented…

### Timing-induced quantum collapse of wave-particle duality in a two-path interferometer

- Physics
- 2019

We propose an experiment of two-path interference in which the optical path difference between the two interferometer arms is much larger than the spatial spread of single-photon pulses, thereby…

### Schr\"odinger's cat in a realist quantum mechanics

- Philosophy, Physics
- 2016

There is no paradox with Schr\"odinger's cat in a realist interpretation because in such an interpretation wave functions which represent the same object at different times are not to be superposed.

## References

SHOWING 1-10 OF 78 REFERENCES

### Decoherence, einselection, and the quantum origins of the classical

- Physics
- 2003

as quantum engineering. In the past two decades it has become increasingly clear that many (perhaps all) of the symptoms of classicality can be induced in quantum systems by their environments. Thus…

### Quantum mechanics in terms of realism

- Physics
- 1996

We expound an alternative to the Copenhagen interpretation of the formalism of nonrelativistic quantum mechanics. The basic difference is that the new interpretation is formulated in the language of…

### Extension of Quantum Mechanics to Individual Systems

- Mathematics
- 1999

The Copenhagen Interpretation describes individual systems, using the same Hilbert space formalism as does the statistical ensemble interpretation (SQM). This leads to the well-known paradoxes…

### The hidden phase of Fock states; quantum non-local effects

- Physics
- 2005

Abstract.We revisit the question of how a definite phase between Bose-Einstein
condensates can spontaneously appear under the effect of measurements.
We first consider a system that is the…

### The Quantum Theory of the Emission and Absorption of Radiation

- Physics
- 1927

The new quantum theory, based on the assumption that the dynamical variables do not obey the commutative law of multiplication, has by now been developed sufficiently to form a fairly complete theory…

### The emergence of classical properties through interaction with the environment

- Physics
- 1985

The dependence of macroscopic systems upon their environment is studied under the assumption that quantum theory is universally valid. In particular scattering of photons and molecules turns out to…

### THE INTERPRETATION OF QUANTUM MECHANICS*

- PhilosophyThe British Journal for the Philosophy of Science
- 1953

THE following pages are a reply to Erwin Schrodinger's article, ' Are There Quantum Jumps ? Parts I and II ' , published in August and November 1952, in this Journal. A discussion on this subject was…

### Quantum Mechanics of One- and Two-Electron Atoms

- Physics
- 1957

One of the simplest, and most completely treated, fields of application of quantum mechanics is the theory of atoms with one or two electrons. For hydrogen and the analcgous ions He+, Li++, etc., the…

### A realist view on the treatment of identical particles

- Physics
- 2010

Some basic concepts concerning systems of identical particles are dis- cussed in the framework of a realist interpretation, where the wave function is the quantum object and j (r)j 2 d 3 r is the…