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If there is a central conceptual framework that has reliably borne the weight of modern physics as it ascends into the 21st 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, and indeed, in modern philosophy more generally: That in the 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 in quantum mechanics physical extensiveness fundamentally entails not only relations of objects, but also relations of relations. In this way, quantum mechanics exemplifies a concept of extensive connection that it is fundamentally topological rather than metrical, and thus requires a logico-mathematical framework grounded in category theory rather than set theory.
By this thesis, 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. Objects and relations are thus 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 21st century and beyond.
- Sales Rank: #1489822 in eBooks
- Published on: 2013-06-20
- Released on: 2013-06-21
- Format: Kindle eBook
Review
"A startling development in the lastcentury has been the overflowing of theoretical and observational sciences intothe fields of philosophy, particularly by quantum mechanics and cosmology. Thepresent book is twice valuable on this fascinating subject in my opinion: onone hand for its clear and lucid exposition and application of Whitehead'sontology as a most attractive framework for this kind of query, and on theother hand, for its extension of the dialectics of ontology through an originaluse of advanced concepts from modern mathematics."
ROLANDOMNÈS, Professor Emeritus of Theoretical Physics at the University ofParis-Sud, author of The Interpretationof Quantum Mechanics and Converging Realities (both Princeton UniversityPress).
"This is a unique book in its scope, approach andmethod. A novel physical and philosophical interpretation of sheaf theory shedsnew light on the quantum measurement problem, entanglement, locality and truth.A new systematic and rigorous relational realistic paradigm for naturalphilosophy has emerged, rooted on the same principles with Abstract (Modern)Differential Geometry, that transmutes the above into a fully fledged dynamicaltheory."
ANASTASIOSMALLIOS, Professor Emeritus of Mathematics, Department ofMathematics, University of Athens, author of Geometry of VectorSheaves (Springer) and Modern Differential Geometry inGauge Theories (Birkhäuser).
Review
“Recommended reading for graduate students and researchers/faculty. One of the driving contentions in modern physics has been the inability to reconcile the dominance of classical thought in the theory of relativity with the indeterminate nature of quantum mechanics. Some would argue that one such attempt at a compromise had arrived in the form of quantum field theories, with multiple ideas for resolving the asymmetrical features between relativity and ordinary quantum mechanics. Here, Epperson and Zafiris decide to return to ordinary quantum mechanics and propose sheaf theory, a theory that grew out of the abstract algebra of topology and set theory, as a solution to the stubborn paradoxes found in quantization attempts. They then compare the theory's interpretive value to the category scheme found in Whitehead's Process and Reality (1929). Epperson's earlier work, Quantum Mechanics and the Philosophy of Alfred North Whitehead (2004), is a good predecessor to the current book.”
CHOICE (March 2014, reviewed by C. Lee, Duke University)
Review
"This is a unique book in its scope, approach and method. A novel physical and philosophical interpretation of sheaf theory sheds new light on the quantum measurement problem, entanglement, locality and truth. A new systematic and rigorous relational realistic paradigm for natural philosophy has emerged, rooted on the same principles with Abstract (Modern) Differential Geometry, that transmutes the above into a fully fledged dynamical theory."
ANASTASIOS MALLIOS, Professor Emeritus of Mathematics, Department of Mathematics, University of Athens, author of Geometry of Vector Sheaves (Springer) and Modern Differential Geometry in Gauge Theories (Birkhäuser).
Most helpful customer reviews
8 of 8 people found the following review helpful.
Important breakthrough in understanding the quantum world
By Timothy E. Eastman
Leveraging rigorously-tested core quantum physics results, in combination with careful philosophical distinctions and new mathematical developments (topology and category theory), Drs. Epperson and Zafiris have achieved a uniquely viable interpretation of all known quantum experiments (including many rigorously- checked Bell inequality tests) in a way that is intuitively reasonable and avoids the usual exotica. In addition, their predictions on non-local quantum correlations associated with global topological phases have been confirmed in recent experiments. Epperson provides very readable yet in-depth philosophical and interpretive foundations (210 pages) followed by Zafiris' rigorous treatment of mathematical foundations (177 pages). This work is a must read for all those interested in the philosophy of physics, as well as those concerned with foundational philosophical questions impacted by such new physics results.
Tim Eastman, PhD, Physics
8 of 8 people found the following review helpful.
A new view of the world
By RSW
This work presents a profound new epistemological view of the world - based on the subtle and under appreciated schemata of A. N. Whitehead - and backs it up with hard mathematics. It is consequently not an easy read but will greatly reward close study. It belongs on the shelf of every serious student of philosophy, mathematics or physics.
2 of 14 people found the following review helpful.
sad to say, Epperson and Zafiris have been sucked in by the Bell fallacy
By Christoph
While it is good to use the Whitehead concept of an occasion of activity as an analytic device for interpretation of experiments, sad to say Epperson and Zafiris have not come to grips with the basic fallacy of the famous Bell argumentation. They uncritically accept the Bell argumentation and so their book is largely drivel, dressed up in fancy language and very technical theorizing. I am sorry to report this, but I think it best to speak plainly about such an important matter.
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