Introduction To The Modal Hamiltonian Interpretation Of Quantum Mechanics

This book presents a comprehensive account of a new member of the family of the modal interpretations of quantum mechanics. According to the modal-Hamiltonian interpretation, the Hamiltonian of the quantum system plays a decisive role in the definition of systems and subsystems, and in the rule that selects the observables whose possible values become actual. This book begins by introducing the main interpretative postulates and by proving their Galilean invariance. Also discussed herein is an argument for the physical relevance of the interpretation.

According to the modal interpretation, the standard mathematical framework of quantum mechanics specifies the physical magnitudes of a system, which have definite values. Probabilities are assigned to the possible values that these magnitudes may adopt. The interpretation is thus concerned with physical properties rather than with measurement results: it is a realistic interpretation (in the sense of scientific realism). One of the notable achievements of this interpretation is that it dissolves the notorious measurement problem. The papers collected here, together with the introduction and concluding critical appraisal, explain the various forms of the modal interpretation, survey its achievements, and discuss those problems that have yet to be solved. Audience: Philosophers of science, theoretical physicists, and graduate students in these disciplines.

Modal interpretations provide a general framework within which quantum mechanics can be considered as a theory that describes reality in terms of physical systems possessing definite properties. Modal interpretations are relatively new attempts to present quantum mechanics as a theory which, like other physical theories, describes an observer-independent reality. In this book, Pieter Vermaas details the results of this work. He provides both an accessible survey and a systematic reference work about how to understand quantum mechanics using a modal interpretation. The book will be of great value to undergraduates, graduate students and researchers in philosophy of science and physics departments with an interest in learning about modal interpretations of quantum mechanics.

The notion of controversy space is the key element of the new model of scientific and philosophical change introduced in this book. Devised as an alternative to classical models, the model of Controversy Spaces is a heuristic tool for the reconstruction of processes of conceptual change in the history of science and philosophy. The first chapter of this volume outlines in its initial section the historical trajectory of the dialectical, adversarial approach to the progress of knowledge, from its ancient flourishing and its almost complete oblivion in modernity up to its contemporary revival. Then the main features that characterize the structure and dynamics of controversy spaces are identified and examined. In the rest of the book the reader will find a detailed, fascinating series of case studies that apply the CS model in a variety of scientific areas, ranging from physics to linguistics, as well as the philosophy of mind and the philosophy of historiography.

Offers a comprehensive and up-to-date volume on the conceptual and philosophical problems related to the interpretation of quantum mechanics.

This book discusses the philosophical work of Décio Krause. Non-individuality, as a new metaphysical category, was thought to be strongly supported by quantum mechanics. No one did more to promote this idea than the Brazilian philosopher Décio Krause, whose works on the metaphysics and logic of non-individuality are now widely regarded as part of the consolidated literature on the subject. This volume brings together chapters elaborating on the ideas put forward and defended by Krause, developing them in many different directions, commenting on aspects not completely developed so far, and, more importantly, critically addressing their current formulations and defenses by Krause himself. Given that Krause’s ideas do connect directly and indirectly with a wide array of subjects, such as the philosophy of quantum mechanics, more broadly understood, the philosophy of logic and logical philosophy, non-classical logics, metaphysics, and ontology, this volume contains important material for the research on logic and foundations of science, broadly understood. All the invited contributors have already worked with the ideas developed by Décio (some of them still work with them), being also distinct authors and extremely relevant in their areas of expertise. The volume is aimed at philosophers, including those of physics and quantum mechanics.

The book Metaphysics in Contemporary Physics offers various perspectives on the relation and mutual influence between modern physical theories and analytic metaphysics. The authors of the contributions are philosophers of science, physicists and metaphysicians of international renown, and their work represents the cutting edge in modern metaphysics of physical sciences.