Opening Remarks.- Imagery, Probability and the Roots of Werner Heisenberg's Uncertainty Principle Paper.- Against An Exposition of Bell's Theorem.- Wave-Particle Duality: A Case Study.- Sein Kann Was Nicht Sein Darf, Or the Prehistory of the EPR, 1909-1935: Einstein's Early Worries About the Quantum Mechanics of Composite Systems.- to Two-Particle Interferometry.- A New View on the Uncertainty Principle.- Measurement Problems in Quantum Field Theory in the 1930's.- On the Collapse of the Wave Function.- Old and New Ideas in the Theory of Quantum Measurement.- Toward a Relativistic Theory of Statevector Reduction.- The Breakdown of the Superposition Principle.- Mathematical and Philosophical Questions in the Theory of Open and Macroscopic Quantum Systems.- Induced Nonlinear Time Evolution of Open Quantum Objects.- Quantum Logic: A Summary of Some Issues.- Remarks on the Measurement of Discrete Physical Quantities.- Some Comments and Reflections.- Invited Lecturers.
Opening Remarks.- Imagery, Probability and the Roots of Werner Heisenberg's Uncertainty Principle Paper.- Against An Exposition of Bell's Theorem.- Wave-Particle Duality: A Case Study.- Sein Kann Was Nicht Sein Darf, Or the Prehistory of the EPR, 1909-1935: Einstein's Early Worries About the Quantum Mechanics of Composite Systems.- to Two-Particle Interferometry.- A New View on the Uncertainty Principle.- Measurement Problems in Quantum Field Theory in the 1930's.- On the Collapse of the Wave Function.- Old and New Ideas in the Theory of Quantum Measurement.- Toward a Relativistic Theory of Statevector Reduction.- The Breakdown of the Superposition Principle.- Mathematical and Philosophical Questions in the Theory of Open and Macroscopic Quantum Systems.- Induced Nonlinear Time Evolution of Open Quantum Objects.- Quantum Logic: A Summary of Some Issues.- Remarks on the Measurement of Discrete Physical Quantities.- Some Comments and Reflections.- Invited Lecturers.
New Perspectives on Fundamental Problems in Quantum Mechanics: Theory of Measurement Macroscopic Interpretability of Quantum Subsystems Objective Background for Quantum Theory Operational Probability Theory (OPT) and Conditional Probabilities Entanglement and Non-Locality Wave-Particle Duality, Double Slit Experiments Complementarity Operational Definition of Observables Simulation of Quantum Features De Broglie-Bohm Model Interdisciplinary Issues: Parastatistics in Econophysics Propositions in Classical and Quantum Physics Statistical Criticism of the Double Slit Experiment Chemical Valence as Relational Property Quantum Computer View (QCV) at the Planck Scale Historical, Philosophical and Epistemological Inquiries: The First Steps of Quantum Electrodynamics Electromagnetism and Quantum Physics Mathematics and Epistemology in Planck's Work Logic and Mathematics in Heisenberg's Formulation Reality and Nanotechnologies Non-Empirically Decidable Properties in Modern Physics Computability of Physical Theories Entrance of Quantum Mechanics in Italy Gramsci and Quantum Mechanics Italic Tradition on the Question of Physical Objectivity.
The objective of Chapter 4 is to give an overview of the basic concepts of quantum mechanics and their interpretation. Thus this chapter functions as a theoretical preparation for a better understanding of the quantum world and of the knowledge measurement process. First, the terminology of the word “quantum” and its impact on the derivation of the term “knowledge quantum” is explained in Chapter 4.1. Then, the discussion moves to the historical development of quantum mechanics. The key issues and current research field for quantum theory will be given in an overview. The following chapters show some insights into key quantum mechanical concepts such as slit-experiments, wave-particle duality, the Copenhagener interpretation, and quantum probability. Chapter 4 closes with an explanation of the Uncertainty Principle of Werner Heisenberg, especially since the Uncertainty Principle is used to derive the knowledge measurement process through the method of analogical reasoning. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Quantum mechanics originated with a paper of 24-year-old Werner Heisenberg in early July 1925 seeking "to establish a quantum-theoretical mechanics based entirely on relations between quantities that are observable in principle". Heisenberg argues that experimental conditions limit simultaneous use of both kinematic and dynamic concepts in the description of an atomic object, complementarity more broadly enjoined an essential limitation in application of classical concepts to the quantum domain. The quantum-to-classical transition argument then targets the purported universality of quantum mechanics, the claim that descriptions of "real states" of macroscopic systems can be recovered as the classical limit of the more fundamental underlying quantum mechanical ones. The looming problem in quantum-to-classical transition is wave-particle duality and in particular the principle of superposition. As quantum mechanics holds that all possible physical information about the state of the individual system is represented by Ψ, the theory must be incomplete. Einstein suggest quantum orthodoxy holds a completely different sense of quantum mechanical completeness.
1. Quantum Mechanics, Reality and Separability: Physical Developments of the Einstein-Podolsky-Rosen Argument.- Realism in Quantum Mechanics and a New Version of the EPR Experiment.- Discussion: M. Cini, F. De Martini, K. Kraus, T.W. Marshall, K.R. Popper, H. Rauch, M.C. Robinson, F. Selleri, J. Six, G. Tarozzi, J.-P. Vigier..- The Physical Origin of the Einstein-Podolsky-Rosen Paradox.- Does the Bell Inequality Hold for All Local Theories?.- Is it Possible to Save Causality and Locality in Quantum Mechanics?.- Einstein-Podolsky-Rosen Experiments and Macroscopic Locality.- On the Compatibility of Local Realism with Atomic Cascade Experiments.- Is the Einstein-Podolsky-Rosen Paradox Demanded by Quantum Mechanics?.- Infinite Wave Resolution of the EPR Paradox.- On Non Local Influences.- Einstein Locality for Individual Systems and for Statistical Ensembles.- Can Nondetected Photons Simulate Nonlocal Effects in Two-Photon Polarization Correlation Experiments?.- 2. The Stochastic Interpretation of Quantum Processes.- Quantum Theory of Measurement without Wave Packet Collapse.- A Causal Fluidodynamical Model for the Relativistic Quantum Mechanics.- On the Nonlinear Schrodinger Equation.- Recent Developments in de Broglie Nonlinear Wave Mechanics.- The Role of the Quantum Potential in Determining Particle Trajectories and the Resolution of the Measurement Problem.- When is Statistical Theory Causal?.- Radiation Damping and Nonlinearity in the Pilot Wave Interpretation of Quantum Mechanics.- Stochastic Electrodynamics and the Bell Inequalities.- Nonlocal Quantum-Potential Interpretation of Relativistic Actions at a Distance in Many-Body Problems.- 3. The Realistic Interpretation of the Wave Function: Experimental Tests on the Wave-Particle Dualism.- Third Kind Measurements and Wave-Particle Dualism.- Quantum Effects in the Interference of Light.- Tests of Quantum Mechanics by Neutron Interferometry.- A Unified Experiment for Testing both the Interpretation and the Reduction Postulate of the Quantum Mechanical Wave Function.- Epilogue.- Evolutionary Epistemology.
100±Δt Years of Quantum Uncertainty: From Origins to Modern Insights
Heisenberg's uncertainty principle is a cornerstone of quantum mechanics, marking a decisive departure from classical physics. Conceived almost a century ago through a thought experiment showing that measuring an electron's position inevitably disturbs its momentum, it began as a deceptively simple idea that sparked countless studies and grew into the rich research field it is today. This review traces its development into a spectrum of mathematical formulations -- known as uncertainty relations -- and explores their interconnections and wide-ranging applications. We highlight its central role in quantum metrology, where it underpins strategies for extracting information from quantum systems with ever-increasing precision, and its links to multiparameter estimation and squeezed states. This review, dedicated to the centenary of the uncertainty principle, reflects on how it has deepened our understanding of quantum theory and driven practical advances, and looks ahead to a century poised for further surprising and transformative discoveries.
Although it is 70 years old, there are still areas of quantum theory which are open to interpretation. This book deals with such interpretational problems, and in particular with the issue of the measurement process. The main theme is whether quantum mechanics can be viewed as a (semantically) complete theory, namely as a theory capable of describing not only the physical object under observation but also the measuring instruments used to detect the properties of that physical object. The problematic aspects arise from the fact that the measuring instruments themselves behave as classical physical systems. Thus, we are faced with the open problem of the transition from the quantum to the classical, or more explicitly, the problem of why the composition of many quantum micro-objects gives rise to classical macro-objects. This book goes carefully, exhaustively, and deeply into the interpretational problems of quantum mechanics induced by the measurement process. The solution of many relevant issues, as well as the problems that remain unsolved, emerge clearly. The discussion itself is self-contained and the technical parts are reader-friendly. This book is of value to graduate students and researchers who have an interest in the physical, mathematical, and philosophical foundations of quantum mechanics.