Preface of the Special Issue Probing the Limits of Quantum Mechanics: Theory and Experiment, Volume 2
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Preface of the Special Issue Probing the Limits of Quantum Mechanics: Theory and Experiment, Volume 2 Andrei Khrennikov1 · Hans de Raedt2 · Arkady Plotnitsky3 · Sergey Polyakov4
Received: 14 August 2015 / Accepted: 24 August 2015 © Springer Science+Business Media New York 2015
This volume is the second of the two volumes presenting theoretical and experimental viewpoints on foundational problems of quantum physics that are directly related to quantum information and technology. Contributions are clustered in the following three sections: • General problems of quantum foundations • Philosophical significance of quantum reconstruction theorems • Quantum-like models: from molecular biology to cognitive psychology and economics
1 General Problems of Quantum Foundations This section contains contributions, by both theoreticians and experimentalists, to quantum foundations, along with contributions devoted to related mathematical problems. Here we highlight some of these contributions. On the experimental side, we would like to mention the article by Curceanu et al. “Spontaneously emitted X-rays: an experimental signature of the dynamical reduction models”, which presents the novel idea of searching for X-rays as a signature of the mechanism inducing the spontaneous collapse of the wave function. This type of signal is predicted by the continuous
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Andrei Khrennikov [email protected]
1
International Center for Mathematical Modeling in Physics, Engineering, Economics, and Cognitive Science, Linnaeus University, Växjö, Sweden
2
Zernike Institute for Advanced Materials, University of Groningen, Groningen, The Netherlands
3
Theory and Cultural Studies Program, Purdue University, West Lafayette, IN, USA
4
National Institute of Standards and Technology, Gaithersburg, MD, USA
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spontaneous localization theories, which aim to solve the “measurement problem” by modifying the Schrödinger equation to accommodate the spontaneous collapse. Finding or, conversely, failing to find this signal will help to either establish the viability of such a theory or make it less likely to be correct. Stochastic electrodynamics (SED) is among the more successful attempts to interpret quantum electrodynamics on classical lines, although the approach is not without problems. In quantum theory, the leading non-relativistic corrections to the ground state energy dominate the Lamb shift related to the photon cloud that should cause the quantum-like behavior of SED. Nieuwenhuizen and Liska’s article “Simulation of the hydrogen ground state in SEDs-2: Inclusion of relativistic corrections” takes these corrections into account in a numerical modeling of this process. The article shows that they have little effect: the self-ionisation that occurs without them remains present. The relationships and mutual influences (in both directions) between physics and mathematics play a major role in foundational studies in quantum theory. Rosinger, in his provocative article “Five departures in logic, mathematics, and thus—either w
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