Quantum Foundations, Probability and Information

Description

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. Front Matter ....Pages i-xv The Dirac Equation as One Fourth-Order Equation for One Function: A General, Manifestly Covariant Form (Andrey Akhmeteli)....Pages 1-11 At the Crossroads of Three Seemingly Divergent Approaches to Quantum Mechanics (Carlos Baladrón, Andrei Khrennikov)....Pages 13-21 Implications of Einstein-Weyl Causality on Quantum Mechanics (D. J. BenDaniel)....Pages 23-29 The Action Reaction Principle in Quantum Mechanics (Carlos López)....Pages 31-38 Replacing Nothing with Something Special: Contextuality-by-Default and Dummy Measurements (Ehtibar N. Dzhafarov)....Pages 39-44 A Computational Proof of Locality in Entanglement (Han Geurdes)....Pages 45-58 Efficient Energy Transfer in Network Model of Photosynthesis (Yuta Mitome, Satoshi Iriyama, Keiko Sato, Igor V. Volivich)....Pages 59-69 Clockwork Rebooted: Is the Universe a Computer? (Gregg Jaeger)....Pages 71-91 External Observer Reflections on QBism, Its Possible Modifications, and Novel Applications (Andrei Khrennikov)....Pages 93-118 Epistemic View of Quantum Communication (Subhash Kak)....Pages 119-128 Quantum Decoherence Emulated in a Classical Device (Brian R. La Cour, Corey I. Ostrove, Michael J. Starkey, Granville E. Ott)....Pages 129-139 Local Realism Without Hidden Variables (Ghenadie N. Mardari)....Pages 141-154 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 Feynman Integrals for a New Class of Time-Dependent Exponentially Growing Potentials (Hammah Mohameden, Habib Ouerdiane)....Pages 169-196 Classical Field Theory of the Photoelectric Effect (Sergey A. Rashkovskiy)....Pages 197-214 Classification Problem in a Quantum Framework (Enrica Santucci, Giuseppe Sergioli)....Pages 215-228 On Complexity for Open System Dynamics (Noboru Watanabe)....Pages 229-254 Bell Correlations and the Common Future (Ämin Baumeler, Julien Degorre, Stefan Wolf)....Pages 255-268 Temporal Vibrations in a Quantized Field (Hou Yau)....Pages 269-286 Back Matter ....Pages 287-295