**Quantum Foundations, Probability and Information by Andrei Khrennikov, ISBN-13: 978-3319749709**

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- Publisher: Springer; 1st ed. 2018 edition (June 25, 2018)
- Language: English
- 310 pages
- ISBN-10: 3319749706
- ISBN-13: 978-3319749709

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

*and quantum probability and information theory can consider this book a valuable resource.*

**quantum physics****Table of Contents:**

The Dirac Equation as One Fourth-Order Equation for One

Function: A General, Manifestly Covariant Form . . . . . . . . . . . . . . . . . . . . . . . 1

Andrey Akhmeteli

At the Crossroads of Three Seemingly Divergent Approaches

to Quantum Mechanics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

Carlos Baladrón and Andrei Khrennikov

Implications of Einstein-Weyl Causality on Quantum Mechanics. . . . . . . . . . 23

D. J. BenDaniel

The Action Reaction Principle in Quantum Mechanics . . . . . . . . . . . . . . . 31

Carlos López

Replacing Nothing with Something Special:

Contextuality-by-Default and Dummy Measurements . . . . . . . . . . . . . . . . . 39

Ehtibar N. Dzhafarov

A Computational Proof of Locality in Entanglement . . . . . . . . . . . .. . . . . . . 45

Han Geurdes

Efficient Energy Transfer in Network Model of Photosynthesis . . . . . . . . . . . . 59

Yuta Mitome, Satoshi Iriyama, Keiko Sato, and Igor V. Volivich

Clockwork Rebooted: Is the Universe a Computer? . . . . . . . . . . . . . . . .. . . . . 71

Gregg Jaeger

External Observer Reflections on QBism, Its Possible Modifications,

and Novel Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . 93

Andrei Khrennikov

Epistemic View of Quantum Communication . . . . . . . . . . . . . . . . .. . . . . 119

Subhash Kak

Quantum Decoherence Emulated in a Classical Device . . . . . . . . . . . . . . . . 129

Brian R. La Cour, Corey I. Ostrove, Michael J. Starkey,

and Granville E. Ott

Local RealismWithout Hidden Variables . . . . . . . . . . . . . . . . . . . . . 141

Ghenadie N. Mardari

Underground Test of Quantum Mechanics: The VIP2 Experiment . . . . . . . . 155

Johann Marton, S. Bartalucci, A. Bassi, M. Bazzi, S. Bertolucci,

C. Berucci, M. Bragadireanu, M. Cargnelli, A. Clozza, C. Curceanu,

L. De Paolis, S. Di Matteo, S. Donadi, J.-P. Egger, C. Guaraldo, M. Iliescu,

M. Laubenstein, E. Milotti, A. Pichler, D. Pietreanu, K. Piscicchia,

A. Scordo, H. Shi, D. Sirghi F. Sirghi, L. Sperandio, O. Vazquez-Doce,

E. Widmann and J. Zmeskal

Feynman Integrals for a New Class of Time-Dependent

Exponentially Growing Potentials. . . . . . . . . . . . . . . . . . . . . . . . . . . 169

Hammah Mohameden and Habib Ouerdiane

Classical Field Theory of the Photoelectric Effect . . . . . . . . . . . . . . . . 197

Sergey A. Rashkovskiy

Classification Problem in a Quantum Framework . . . . . . . . . . . . . . . . . . . 215

Enrica Santucci and Giuseppe Sergioli

On Complexity for Open System Dynamics. . . . . . . . . . . . . . . . . . . 229

Noboru Watanabe

Bell Correlations and the Common Future . . . . . . . . . . . . . . . . . . . . . . 255

Ämin Baumeler, Julien Degorre, and Stefan Wolf

Temporal Vibrations in a Quantized Field . . . . . . . . . . . . . . . . . . . . . . . . 269

Hou Yau

Index . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . 287

* 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

*. Khrennikov also organizes Quantum and Beyond, a world-famous series of conferences on quantum foundations, quantum information and probability held in Växjö annually.*

**Linnaeus University*** Bourama Toni *is a Professor of Mathematics in the College of Engineering and Technology at

*. 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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