Quantum Physics and Linguistics

Quantum Physics and Linguistics
Author: Chris Heunen
Publisher: OUP Oxford
Total Pages: 430
Release: 2013-02-21
Genre: Science
ISBN: 0191650315

New scientific paradigms typically consist of an expansion of the conceptual language with which we describe the world. Over the past decade, theoretical physics and quantum information theory have turned to category theory to model and reason about quantum protocols. This new use of categorical and algebraic tools allows a more conceptual and insightful expression of elementary events such as measurements, teleportation and entanglement operations, that were obscured in previous formalisms. Recent work in natural language semantics has begun to use these categorical methods to relate grammatical analysis and semantic representations in a unified framework for analysing language meaning, and learning meaning from a corpus. A growing body of literature on the use of categorical methods in quantum information theory and computational linguistics shows both the need and opportunity for new research on the relation between these categorical methods and the abstract notion of information flow. This book supplies an overview of how categorical methods are used to model information flow in both physics and linguistics. It serves as an introduction to this interdisciplinary research, and provides a basis for future research and collaboration between the different communities interested in applying category theoretic methods to their domain's open problems.

Quantum Physics and Linguistics

Quantum Physics and Linguistics
Author: Christiaan Johan Marie Heunen
Publisher:
Total Pages: 409
Release: 2013
Genre: Computational linguistics
ISBN: 9780191747847

A growing body of literature on the use of categorical methods in quantum information theory and computational linguistics shows both the need and opportunity for new research on the relation between these categorical methods and the abstract notion of information flow. This book supplies an overview of how categorical methods are used to model information flow in both physics and linguistics.

Quantum Physics and Linguistics

Quantum Physics and Linguistics
Author: Chris Heunen
Publisher: Oxford University Press, USA
Total Pages: 430
Release: 2013-02-21
Genre: Computers
ISBN: 0199646295

An interdisciplinary attempt to bring together physicists and linguists who use the same compositional mathematical methods. Although seemingly unrelated, due to the complexity and dynamics of the compound phenomena they aim to model, and also advances in their high level methods, these fields have come to share a common mathematical structure.

Coherent Quantum Physics

Coherent Quantum Physics
Author: Arnold Neumaier
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 376
Release: 2019-10-21
Genre: Science
ISBN: 3110667363

This book introduces mathematicians, physicists, and philosophers to a new, coherent approach to theory and interpretation of quantum physics, in which classical and quantum thinking live peacefully side by side and jointly fertilize the intuition. The formal, mathematical core of quantum physics is cleanly separated from the interpretation issues. The book demonstrates that the universe can be rationally and objectively understood from the smallest to the largest levels of modeling. The thermal interpretation featured in this book succeeds without any change in the theory. It involves one radical step, the reinterpretation of an assumption that was virtually never questioned before - the traditional eigenvalue link between theory and observation is replaced by a q-expectation link: Objective properties are given by q-expectations of products of quantum fields and what is computable from these. Averaging over macroscopic spacetime regions produces macroscopic quantities with negligible uncertainty, and leads to classical physics. - Reflects the actual practice of quantum physics. - Models the quantum-classical interface through coherent spaces. - Interprets both quantum mechanics and quantum field theory. - Eliminates probability and measurement from the foundations. - Proposes a novel solution of the measurement problem.

Quantum Language and the Migration of Scientific Concepts

Quantum Language and the Migration of Scientific Concepts
Author: Jennifer Burwell
Publisher: MIT Press
Total Pages: 338
Release: 2018-02-09
Genre: Science
ISBN: 0262037556

How highly abstract quantum concepts were represented in language, and how these concepts were later taken up by philosophers, literary critics, and new-age gurus. The principles of quantum physics—and the strange phenomena they describe—are represented most precisely in highly abstract algebraic equations. Why, then, did these mathematically driven concepts compel founders of the field, particularly Erwin Schrödinger, Niels Bohr, and Werner Heisenberg, to spend so much time reflecting on ontological, epistemological, and linguistic concerns? What is it about quantum concepts that appeals to latter-day Eastern mystics, poststructuralist critics, and get-rich-quick schemers? How did their interpretations and misinterpretations of quantum phenomena reveal their own priorities? In this book, Jennifer Burwell examines these questions and considers what quantum phenomena—in the context of the founders' debates over how to describe them—reveal about the relationship between everyday experience, perception, and language. Drawing on linguistic, literary, and philosophical traditions, Burwell illuminates representational and linguistic problems posed by quantum concepts—the fact, for example, that quantum phenomena exist only as probabilities or tendencies toward being and cannot be said to exist in a particular time and place. She traces the emergence of quantum theory as an analytic tool in literary criticism, in particular the use of wave/particle duality in interpretations of gender differences in the novels of Virginia Woolf and critics' connection of Bohr's Principle of Complementarity to poetic form; she examines the “quantum mysticism” of Fritjof Capra and Gary Zukav; and she concludes by analyzing “nuclear discourse” in the context of quantum concepts, arguing that it, too, adopts a language of the unthinkable and the indescribable.

Quantum Mechanics

Quantum Mechanics
Author: Gregory L. Naber
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 507
Release: 2021-09-20
Genre: Science
ISBN: 3110752042

This work covers quantum mechanics by answering questions such as where did the Planck constant and Heisenberg algebra come from, what motivated Feynman to introduce his path integral and why does one distinguish two types of particles, the bosons and fermions. The author addresses all these topics with utter mathematical rigor. The high number of instructive Appendices and numerous Remark sections supply the necessary background knowledge.

Quantum Physics

Quantum Physics
Author: Alastair Rae
Publisher: Cambridge University Press
Total Pages: 157
Release: 2012-03-26
Genre: Law
ISBN: 1107604648

Quantum physics is believed to be the fundamental theory underlying our understanding of the physical universe. However, it is based on concepts and principles that have always been difficult to understand and controversial in their interpretation. This book aims to explain these issues using a minimum of technical language and mathematics. After a brief introduction to the ideas of quantum physics, the problems of interpretation are identified and explained. The rest of the book surveys, describes and criticises a range of suggestions that have been made with the aim of resolving these problems; these include the traditional, or 'Copenhagen' interpretation, the possible role of the conscious mind in measurement, and the postulate of parallel universes. This new edition has been revised throughout to take into account developments in this field over the past fifteen years, including the idea of 'consistent histories' to which a completely new chapter is devoted.

Quantum Theory and Measurement

Quantum Theory and Measurement
Author: John Archibald Wheeler
Publisher: Princeton University Press
Total Pages: 841
Release: 2014-07-14
Genre: Science
ISBN: 1400854555

The forty-nine papers collected here illuminate the meaning of quantum theory as it is disclosed in the measurement process. Together with an introduction and a supplemental annotated bibliography, they discuss issues that make quantum theory, overarching principle of twentieth-century physics, appear to many to prefigure a new revolution in science. Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Picturing Quantum Processes

Picturing Quantum Processes
Author: Bob Coecke
Publisher: Cambridge University Press
Total Pages: 847
Release: 2017-03-16
Genre: Science
ISBN: 1108107710

The unique features of the quantum world are explained in this book through the language of diagrams, setting out an innovative visual method for presenting complex theories. Requiring only basic mathematical literacy, this book employs a unique formalism that builds an intuitive understanding of quantum features while eliminating the need for complex calculations. This entirely diagrammatic presentation of quantum theory represents the culmination of ten years of research, uniting classical techniques in linear algebra and Hilbert spaces with cutting-edge developments in quantum computation and foundations. Written in an entertaining and user-friendly style and including more than one hundred exercises, this book is an ideal first course in quantum theory, foundations, and computation for students from undergraduate to PhD level, as well as an opportunity for researchers from a broad range of fields, from physics to biology, linguistics, and cognitive science, to discover a new set of tools for studying processes and interaction.