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Foundations of Relational Realism
A Topological Approach to Quantum Mechanics and the Philosophy of Nature
Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9780739180334
Veröffentl:
2013
Seiten:
422
Autor:
Michael Epperson
Serie:
Contemporary Whitehead Studies
eBook Typ:
EPUB
Kopierschutz:
Adobe DRM [Hard-DRM]
Sprache:
Englisch
Beschreibung:
Foundations of Relational Realism presents an intuitive interpretation of quantum mechanics, based on a revised decoherent histories interpretation, structured within a category theoretic topological formalism.
If there is a central conceptual framework that has reliably borne the weight of modern physics as it ascends into the twenty-first century, it is the framework of quantum mechanics. Because of its enduring stability in experimental application, physics has today reached heights that not only inspire wonder, but arguably exceed the limits of intuitive vision, if not intuitive comprehension. For many physicists and philosophers, however, the currently fashionable tendency toward exotic interpretation of the theoretical formalism is recognized not as a mark of ascent for the tower of physics, but rather an indicator of sway—one that must be dampened rather than encouraged if practical progress is to continue.
In this unique two-part volume, designed to be comprehensible to both specialists and non-specialists, the authors chart out a pathway forward by identifying the central deficiency in most interpretations of quantum mechanics: That in its conventional, metrical depiction of extension, inherited from the Enlightenment, objects are characterized as fundamental to relations—i.e., such that relations presuppose objects but objects do not presuppose relations. The authors, by contrast, argue that quantum mechanics exemplifies the fact that physical extensiveness is fundamentally topological rather than metrical, with its proper logico-mathematical framework being category theoretic rather than set theoretic.
By this thesis, extensiveness fundamentally entails not only relations of objects, but also relations of relations. Thus, the fundamental quanta of quantum physics are properly defined as units of logico-physical relation rather than merely units of physical relata as is the current convention. Objects are always understood as relata, and likewise relations are always understood objectively. In this way, objects and relations are coherently defined as mutually implicative. The conventional notion of a history as “a story about fundamental objects” is thereby reversed, such that the classical “objects” become the story by which we understand physical systems that are fundamentally histories of quantum events.
These are just a few of the novel critical claims explored in this volume—claims whose exemplification in quantum mechanics will, the authors argue, serve more broadly as foundational principles for the philosophy of nature as it evolves through the twenty-first century and beyond.
In this unique two-part volume, designed to be comprehensible to both specialists and non-specialists, the authors chart out a pathway forward by identifying the central deficiency in most interpretations of quantum mechanics: That in its conventional, metrical depiction of extension, inherited from the Enlightenment, objects are characterized as fundamental to relations—i.e., such that relations presuppose objects but objects do not presuppose relations. The authors, by contrast, argue that quantum mechanics exemplifies the fact that physical extensiveness is fundamentally topological rather than metrical, with its proper logico-mathematical framework being category theoretic rather than set theoretic.
By this thesis, extensiveness fundamentally entails not only relations of objects, but also relations of relations. Thus, the fundamental quanta of quantum physics are properly defined as units of logico-physical relation rather than merely units of physical relata as is the current convention. Objects are always understood as relata, and likewise relations are always understood objectively. In this way, objects and relations are coherently defined as mutually implicative. The conventional notion of a history as “a story about fundamental objects” is thereby reversed, such that the classical “objects” become the story by which we understand physical systems that are fundamentally histories of quantum events.
These are just a few of the novel critical claims explored in this volume—claims whose exemplification in quantum mechanics will, the authors argue, serve more broadly as foundational principles for the philosophy of nature as it evolves through the twenty-first century and beyond.
Preface
Part I: Philosophical Foundations of Quantum Relational Realism
Chapter 1: Introduction: Relational Realism: A Program in Speculative Philosophy
Chapter 2: Substance and Logic in Quantum Mechanics
Chapter 3: Predication in Quantum Mechanics
Chapter 4: Logical Causality in Quantum Mechanics: A Relational Realist Ontology
Chapter 5: Integrating Logical Relation and Extensive Relation: Mereotopology and Quantum Mechanics
Interlude: Part II: Mathematical Foundations of Quantum Relational Realism
Chapter 6: Notion of Localization Processes
Chapter 7: Sheaves of Germs: The Topological Case
Chapter 8: Sheaves of Boolean Germs: The Quantum Topological Case
Chapter 9: Functorial Entanglement and Logical Classification
Chapter 10: Quantum Localization in a Broader Conceptual Perspective
Chapter 11: Recapitulation: A Semantic Bridge Between Process Metaphysics and Quantum Theory via Sheaves
Bibliography
Index
About the Authors
Part I: Philosophical Foundations of Quantum Relational Realism
Chapter 1: Introduction: Relational Realism: A Program in Speculative Philosophy
Chapter 2: Substance and Logic in Quantum Mechanics
Chapter 3: Predication in Quantum Mechanics
Chapter 4: Logical Causality in Quantum Mechanics: A Relational Realist Ontology
Chapter 5: Integrating Logical Relation and Extensive Relation: Mereotopology and Quantum Mechanics
Interlude: Part II: Mathematical Foundations of Quantum Relational Realism
Chapter 6: Notion of Localization Processes
Chapter 7: Sheaves of Germs: The Topological Case
Chapter 8: Sheaves of Boolean Germs: The Quantum Topological Case
Chapter 9: Functorial Entanglement and Logical Classification
Chapter 10: Quantum Localization in a Broader Conceptual Perspective
Chapter 11: Recapitulation: A Semantic Bridge Between Process Metaphysics and Quantum Theory via Sheaves
Bibliography
Index
About the Authors