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arXiv:1711.02987

Deterministic nonlinear quantum evolution. Experimental verification

Alexey Yur'evich Samarin

Published Nov 5, 2017• 0 citations
arXivHTMLPDF

Abstract

It is described a nonlocal interaction between entangled quantum objects, which is initiated by a process different from the reduction of the wave function. The scheme of an experiment realizing a deterministic nonlocal quantum evolution is proposed. In the case of the negative result of the experiment, the universal character of the integral wave equation with a kernel in the form of a path integral is questionable, otherwise faster-then-light communication is possible

DOI
10.48550/arxiv.1711.02987

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It is described a nonlocal interaction between entangled quantum objects, which is initiated by a process different from the reduction of the wave function. The scheme of an experiment realizing a deterministic nonlocal quantum evolution is proposed. In the case of the negative result of the experiment, the universal character of the integral wave equation with a kernel in the form of a path integral is questionable, otherwise faster-then-light communication is possible
Quantum mechanics is characterized by features that are counterintuitive if looked at from the point of view of everyday's life experience. The most intriguing feature is perhaps the possibility, for a close-by object, to influence an object that stands far away, if the two objects were entangled in the past. Such a feature was named `spooky action at distance' by Einstein, so to underline that it was something he was not comfortable with. Notwithstanding such long distance influence, the No-Communication theorem -- which has been developed within the framework of Quantum Mechanics -- forbids instantaneous information transfer between distant observers. Within such a theorem, a measurement is considered a single act of extracting information from the quantum system at a particular instant of time. Any measurement process involves a wavefunction reduction (or collapse), which entails, for the quantum system, an abrupt and non-deterministic evolution which lies outside the domain of the Schrodinger equation. By exploiting this, here we show that, when more measurements are performed in a row, only the first one is subject to the No-Communication theorem, since the following ones are made on the quantum system that already underwent a non-deterministic evolution due to the first one. As example, we construct a thought experiment, with the aim to show how the spooky action at distance could be recorded.
The history of the double-slit experiment (DSE) is more than two centuries old. Its results played a significant role in the discovery of the wave nature of light, and then formed the basis for important provisions of quantum mechanics. However, the results are still difficult to interpret unequivocally. In particular, they have been treated recently even outside the framework of the universally accepted, experimentally verifiable science. For example, the results were tried to connect with the influence on the experiment of the experimenter’s consciousness or with the influence of worlds which exist parallel to our world. At the same time, indeed, the interpretation of the results is extremely difficult and the situation with the understanding of these results, especially in light of recent researches, is becoming more and more complicated. The purpose of our study is to analyze the results of several recent experiments and to introduce a new understanding of them taking into account the possibility of resonant (synchronous) interaction of all physical fields that influence the process of the experiment. We believe that it is necessary to take into account the nonlinear nature of the interacting fields where extreme particle-waves can exist.
A possible mechanism of nonlinear quantum evolution is introduced and its implications for quantum communication are investigated. First, it is argued that an appropriate combination of wavefunction collapse and the consciousness of observer may permit the observer to distinguish nonorthogonal quantum states in principle, and thus consciousness will introduce certain nonlinearity into quantum dynamics. Next, it is shown that the distinguishability of nonorthogonal states can be used to achieve quantum superluminal communication, by which information can be transmitted nonlocally and faster than the speed of light. Finally, the issue of apparent incompatibility between superluminal communication and special relativity is briefly addressed.
The change with time of the system consisting of the quantum object and the macroscopic measuring instrument is described on the base of the uniform dynamic law, which is suitable both evolution and reduction processes description. It is the integral wave equation with kernel in the form of a path integral. It is shown, that wave function collapse is the specific transformation which is fundamentally differ from Shrödinger's evolution. Specifically, a formal cause of the collapse is a local time derivative (infinite large) of the potential energy. Such transformation can not be described using mathematical apparatus of conventional quantum mechanics.