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Quantum Foundations, Probability and Information

  • Book
  • © 2018

Overview

Editors:
  1. Andrei Khrennikov

    1. International Center for Mathematical, Modeling in Physics and Cognitive Science, Linnaeus University, Växjö, Sweden

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    You can also search for this editor in PubMed   Google Scholar

  2. Bourama Toni

    1. Department of Mathematics, Howard University, Washington, DC, USA

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    You can also search for this editor in PubMed   Google Scholar

  • Summarizes the latest research in quantum foundations and mathematical physics
  • Rich with multi-disciplinary mathematical content
  • Illustrates applications of partial differential equations, differential geometry, and oscillatory processes

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. The Dirac Equation as One Fourth-Order Equation for One Function: A General, Manifestly Covariant Form

    • Andrey Akhmeteli
    Pages 1-11

  3. At the Crossroads of Three Seemingly Divergent Approaches to Quantum Mechanics

    • Carlos Baladrón, Andrei Khrennikov
    Pages 13-21

  4. Implications of Einstein-Weyl Causality on Quantum Mechanics

    • D. J. BenDaniel
    Pages 23-29

  5. The Action Reaction Principle in Quantum Mechanics

    • Carlos López
    Pages 31-38

  6. Replacing Nothing with Something Special: Contextuality-by-Default and Dummy Measurements

    • Ehtibar N. Dzhafarov
    Pages 39-44

  7. A Computational Proof of Locality in Entanglement

    • Han Geurdes
    Pages 45-58

  8. Efficient Energy Transfer in Network Model of Photosynthesis

    • Yuta Mitome, Satoshi Iriyama, Keiko Sato, Igor V. Volivich
    Pages 59-69

  9. Clockwork Rebooted: Is the Universe a Computer?

    • Gregg Jaeger
    Pages 71-91

  10. External Observer Reflections on QBism, Its Possible Modifications, and Novel Applications

    • Andrei Khrennikov
    Pages 93-118

  11. Epistemic View of Quantum Communication

    • Subhash Kak
    Pages 119-128

  12. Quantum Decoherence Emulated in a Classical Device

    • Brian R. La Cour, Corey I. Ostrove, Michael J. Starkey, Granville E. Ott
    Pages 129-139

  13. Local Realism Without Hidden Variables

    • Ghenadie N. Mardari
    Pages 141-154

  14. Underground Test of Quantum Mechanics: The VIP2 Experiment

    • Johann Marton, S. Bartalucci, A. Bassi, M. Bazzi, S. Bertolucci, C. Berucci et al.
    Pages 155-168

  15. Feynman Integrals for a New Class of Time-Dependent Exponentially Growing Potentials

    • Hammah Mohameden, Habib Ouerdiane
    Pages 169-196

  16. Classical Field Theory of the Photoelectric Effect

    • Sergey A. Rashkovskiy
    Pages 197-214

  17. Classification Problem in a Quantum Framework

    • Enrica Santucci, Giuseppe Sergioli
    Pages 215-228

  18. On Complexity for Open System Dynamics

    • Noboru Watanabe
    Pages 229-254

  19. Bell Correlations and the Common Future

    • Ämin Baumeler, Julien Degorre, Stefan Wolf
    Pages 255-268

  20. Temporal Vibrations in a Quantized Field

    • Hou Yau
    Pages 269-286
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Keywords

About this book

Composed of contributions from leading experts in quantum foundations, this volume presents viewpoints on a number of complex problems through informational, probabilistic, and mathematical perspectives and features novel mathematical models of quantum and subquantum phenomena. Rich with multi-disciplinary mathematical content, this book includes applications of partial differential equations in quantum field theory, differential geometry, oscillatory processes and vibrations, and Feynman integrals for quickly growing potential functions. 


Due to rapid growth in the field in recent years, this volume aims to promote interdisciplinary collaboration in the areas of quantum probability, information, communication and foundation, and mathematical physics. Many papers discuss complex yet novel problems that depart from the mainstream of quantum physical studies. Others devote explanation to fundamental problems of the conventional quantum theory, including its mathematical formalism. Overall, authors cover a diverse set of topics, including quantum and classical field theory and oscillatory processing, quantum mechanics from a Darwinian evolutionary perspective, and biological applications of quantum theory.


Together in one volume, these essays will be useful to experts in the corresponding areas of quantum theory. Theoreticians, experimenters, mathematicians, and even philosophers in quantum physics and quantum probability and information theory can consider this book a valuable resource. 




Editors and Affiliations

  • International Center for Mathematical, Modeling in Physics and Cognitive Science, Linnaeus University, Växjö, Sweden

    Andrei Khrennikov

  • Department of Mathematics, Howard University, Washington, DC, USA

    Bourama Toni

About the editors

Professor Andrei Khrennikov is the author of roughly 380 papers published in physical and mathematical journals and 18 monographs. He is currently the director of the International Center for Math Modeling in PHysics and Cognitive Science and the head of research at the Mathematical Institute in Linnaeus University. Khrennikov also organizes Quantum and Beyond, a world-famous series of conferences on quantum foundations, quantum information and probability held in Växjö annually.


Bourama Toni is a Professor of Mathematics in the College of Engineering and Technology at Virginia State University. He received his PhD from the University of Montreal, and his research interests include bifurcation theory, abstract differential equations in Banach and Hilbert spaces, quasi-limit cycles, mathematical modeling in biosciences, and game & utility Theory.

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