This book offers a history of the instrumentation used to materialize the early thought experiments devised in the Einstein-Bohr disputes over the foundations of quantum mechanics. It shows how the second world war and cold war fostered the development of materials, instruments, and systems that made it possible to create, manipulate, and detect single quantum systems, thus creating the material conditions for experiments in foundations of quantum mechanics and for a broad spectrum of experimental inquiries on the structure and properties of matter which underlay the creation of new research fields such as quantum optics, quantum information, and atomic, molecular, and optical physics. Discussing research and development performed in diverse contexts, this book reveals how physicists carried instruments, and the knowledge they embodied, through disciplinary and geographic frontiers to probe entanglement, a most intriguing feature of the quantum world.

This volume provides a sample of the present research on the foundations of quantum mechanics and related topics by collecting the papers of the Italian scholars who attended the conference entitled ?The Foundations of Quantum Mechanics ? Historical Analysis and Open Questions? (Lecce, 1998). The perspective of the book is interdisciplinary, and hence philosophical, historical and technical papers are gathered together so as to allow the reader to compare different viewpoints and cultural approaches. Most of the papers confront, directly or indirectly, the objectivity problem, taking into account the positions of the founders of QM or more recent developments. More specifically, the technical papers in the book pay special attention to the interpretation of the experiments on Bell's inequalities and to decoherence theory, but topics on unsharp QM, the consistent-history approach, quantum probability and alternative theories are also discussed. Furthermore, a number of historical and philosophical papers are devoted to Planck's, Weyl's and Pauli's thought, but topics such as quantum ontology, predictivity of quantum laws, etc., are treated.

Taking a new perspective provided by a generalization of the mathematical formalism encompassing positive operator-valued measures, this book views old and new problems of the foundations of quantum mechanics. It demonstrates the crucial role of the generalized formalism in fundamental issues and practical applications.

This book offers a history of the instrumentation used to materialize the early thought experiments devised in the Einstein-Bohr disputes over the foundations of quantum mechanics. It shows how the second world war and cold war fostered the development of materials, instruments, and systems that made it possible to create, manipulate, and detect single quantum systems, thus creating the material conditions for experiments in foundations of quantum mechanics and for a broad spectrum of experimental inquiries on the structure and properties of matter which underlay the creation of new research fields such as quantum optics, quantum information, and atomic, molecular, and optical physics. Discussing research and development performed in diverse contexts, this book reveals how physicists carried instruments, and the knowledge they embodied, through disciplinary and geographic frontiers to probe entanglement, a most intriguing feature of the quantum world.

Crucial to most research in physics, as well as leading to the development of inventions such as the transistor and the laser, quantum mechanics approaches its centenary with an impressive record. However, the field has also long been the subject of ongoing debates about the foundations and interpretation of the theory, referred to as the quantum controversy. This Oxford Handbook offers a historical overview of the contrasts which have been at the heart of quantum physics for the last 100 years. Drawing on the wide-ranging expertise of several contributors working across physics, history, and philosophy, the handbook outlines the main theories and interpretations of quantum physics. It goes on to tackle the key controversies surrounding the field, touching on issues such as determinism, realism, locality, classicality, information, measurements, mathematical foundations, and the links between quantum theory and gravity. This engaging introduction is an essential guide for all those interested in the history of scientific controversies and history of quantum physics. It also provides a fascinating examination of the potential of quantum physics to influence new discoveries and advances in fields such quantum information and computing.

An explicit theory with Lorentz violation is deduced. Overwhelming experimental evidences are found and pointed out. Divergence and singularity problems and infrared (IR) catastrophe are solved and removed. Massless particles are disproved by DE fact and IR fact. Dark matter is explained by new field equations with energy-momentum tensor containing Lorentz factor and a new factor with very large values for high speed photons and neutrinos. Quark confinement, asymptotic freedom, empirical smooth running of the effective strong coupling constant without divergent pole, absence of radially excited states of composite hadrons, absence of gluon spectrum, and the small differences between baryon-octet and their spin 3/2 excited states are explained in a single renormalizable unified theory of massive vector fields with massive Lagrangian of Lee-Yang's type. The merit of the standard model is preserved except for the nonexistence of Higgs particles, gauge-self couplings, and gluon balls.

This book is made up of two essays on the role of time in probability and quantum physics. In the first one, K L Chung explains why, in his view, probability theory starts where random time appears. This idea is illustrated in various probability schemes and the deep impact of those random times on the theory of the stochastic process is shown.In the second essay J-C Zambrini shows why quantum physics is not a regular probabilistic theory, but also why stochastic analysis provides new tools for analyzing further the meaning of Feynman's path integral approach and a number of foundational issues of quantum physics far beyond what is generally considered. The role of the time parameter, in this theory, is critically re-examined and a fresh way to approach the long-standing problem of the quantum time observable is suggested.

John von Neumann (1903-1957) was undoubtedly one of the scientific geniuses of the 20th century. The main fields to which he contributed include various disciplines of pure and applied mathematics, mathematical and theoretical physics, logic, theoretical computer science, and computer architecture. Von Neumann was also actively involved in politics and science management and he had a major impact on US government decisions during, and especially after, the Second World War. There exist several popular books on his personality and various collections focusing on his achievements in mathematics, computer science, and economy. Strangely enough, to date no detailed appraisal of his seminal contributions to the mathematical foundations of quantum physics has appeared. Von Neumann's theory of measurement and his critique of hidden variables became the touchstone of most debates in the foundations of quantum mechanics. Today, his name also figures most prominently in the mathematically rigorous branches of contemporary quantum mechanics of large systems and quantum field theory. And finally - as one of his last lectures, published in this volume for the first time, shows - he considered the relation of quantum logic and quantum mechanical probability as his most important problem for the second half of the twentieth century. The present volume embraces both historical and systematic analyses of his methodology of mathematical physics, and of the various aspects of his work in the foundations of quantum physics, such as theory of measurement, quantum logic, and quantum mechanical entropy. The volume is rounded off by previously unpublished letters and lectures documenting von Neumann's thinking about quantum theory after his 1932 Mathematical Foundations of Quantum Mechanics. The general part of the Yearbook contains papers emerging from the Institute's annual lecture series and reviews of important publications of philosophy of science and its history.

Karl Menger (1902-1985) was the mathematician son of the famous economist Carl Menger. When he was professor of geometry at the University of Vienna from 1927 to 1938, he joined the Vienna Circle and founded his Mathematical Colloquium. This title offers the transcription of those parts of Menger's notes.