Partitions Objective Indefiniteness And Quantum Reality

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Partitions Objective Indefiniteness And Quantum Reality

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Author : David Ellerman
language : en
Publisher: Springer Nature
Release Date : 2024-08-20

Partitions Objective Indefiniteness And Quantum Reality written by David Ellerman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-20 with Mathematics categories.

This book presents a new ‘partitional' approach to understanding or interpreting the math of standard quantum mechanics (QM). The thesis is that the mathematics (not the physics) of QM is the Hilbert space version of the math of partitions on a set and, conversely, the math of partitions is a skeletonized set level version of the math of QM. Since at the set level, partitions are the mathematical tool to represent distinctions and indistinctions (or definiteness and indefiniteness), this approach shows how to interpret the key non-classical QM notion of superposition in terms of (objective) indefiniteness between definite alternatives (as opposed to seeing it as the sum of ‘waves'). Thus, the book develops a new mathematical, or indeed, logical, approach to the century-old problem of interpreting quantum mechanics, ensure it is of interest to philosophers of science as well as mathematicians and physicists.

Liberating Sociology From Newtonian Toward Quantum Imaginations Volume 1 Unriddling The Quantum Enigma

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Author : Mohammad H. Tamdgidi
language : en
Publisher: Ahead Publishing House (imprint: Okcir Press)
Release Date : 2020-01-20

Liberating Sociology From Newtonian Toward Quantum Imaginations Volume 1 Unriddling The Quantum Enigma written by Mohammad H. Tamdgidi and has been published by Ahead Publishing House (imprint: Okcir Press) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-20 with Social Science categories.

In this major new study in the sociology of scientific knowledge, social theorist Mohammad H. Tamdgidi reports having unriddled the so-called ‘quantum enigma.’ This book opens the lid of the Schrödinger’s Cat box of the ‘quantum enigma’ after decades and finds something both odd and familiar: Not only the cat is both alive and dead, it has morphed into an elephant in the room in whose interpretation Einstein, Bohr, Bohm, and others were each both right and wrong because the enigma has acquired both localized and spread-out features whose unriddling requires both physics and sociology amid both transdisciplinary and transcultural contexts. The book offers, in a transdisciplinary and transcultural sociology of self-knowledge framework, a relativistic interpretation to advance a liberating quantum sociology. Deeper methodological grounding to further advance the sociological imagination requires investigating whether and how relativistic and quantum scientific revolutions can induce a liberating reinvention of sociology in favor of creative research and a just global society. This, however, necessarily leads us to confront an elephant in the room, the ‘quantum enigma.’ In Unriddling the Quantum Enigma, the first volume of the series commonly titled Liberating Sociology: From Newtonian toward Quantum Imaginations, sociologist Mohammad H. Tamdgidi argues that unriddling the ‘quantum enigma’ depends on whether and how we succeed in dehabituating ourselves in favor of unified relativistic and quantum visions from the historically and ideologically inherited, classical Newtonian modes of imagining reality that have subconsciously persisted in the ways we have gone about posing and interpreting (or not) the enigma itself for more than a century. Once this veil is lifted and the enigma unriddled, he argues, it becomes possible to reinterpret the relativistic and quantum ways of imagining reality (including social reality) in terms of a unified, nonreductive, creative dialectic of part and whole that fosters quantum sociological imaginations, methods, theories, and practices favoring liberating and just social outcomes. The essays in this volume develop a set of relativistic interpretive solutions to the quantum enigma. Following a survey of relevant studies, and an introduction to the transdisciplinary and transcultural sociology of self-knowledge framing the study, overviews of Newtonianism, relativity and quantum scientific revolutions, the quantum enigma, and its main interpretations to date are offered. They are followed by a study of the notion of the “wave-particle duality of light” and the various experiments associated with the quantum enigma in order to arrive at a relativistic interpretation of the enigma, one that is shown to be capable of critically cohering other offered interpretations. The book concludes with a heuristic presentation of the ontology, epistemology, and methodology of what Tamdgidi calls the creative dialectics of reality. The volume essays involve critical, comparative/integrative reflections on the relevant works of founding and contemporary scientists and scholars in the field. This study is the first in the monograph series “Tayyebeh Series in East-West Research and Translation” of Human Architecture: Journal of the Sociology of Self-Knowledge (XIII, 2020), published by OKCIR: Omar Khayyam Center for Integrative Research in Utopia, Mysticism, and Science (Utopystics). OKCIR is dedicated to exploring, in a simultaneously world-historical and self-reflective framework, the human search for a just global society. It aims to develop new conceptual (methodological, theoretical, historical), practical, pedagogical, inspirational and disseminative structures of knowledge whereby the individual can radically understand and determine how world-history and her/his selves constitute one another. Reviews “Mohammad H. Tamdgidi’s Liberating Sociology: From Newtonian Toward Quantum Imaginations, Volume 1, Unriddling the Quantum Enigma hits the proverbial nail on the head of an ongoing problem not only in sociology but also much social science—namely, many practitioners’ allegiance, consciously or otherwise, to persisting conceptions of ‘science’ that get in the way of scientific and other forms of theoretical advancement. Newtonianism has achieved the status of an idol and its methodology a fetish, the consequence of which is an ongoing failure to think through important problems of uncertainty, indeterminacy, multivariation, multidisciplinarity, and false dilemmas of individual agency versus structure, among many others. Tamdgidi has done great service to social thought by bringing to the fore this problem of disciplinary decadence and offering, in effect, a call for its teleological suspension—thinking beyond disciplinarity—through drawing upon and communicating with the resources of quantum theory not as a fetish but instead as an opening for other possibilities of social, including human, understanding. The implications are far-reaching as they offer, as the main title attests, liberating sociology from persistent epistemic shackles and thus many disciplines and fields connected to things ‘social.’ This is exciting work. A triumph! The reader is left with enthusiasm for the second volume and theorists of many kinds with proverbial work to be done.” — Professor Lewis R. Gordon, Honorary President of the Global Center for Advanced Studies and author of Disciplinary Decadence: Living Thought in Trying Times (Routledge/Paradigm, 2006), and Freedom, Justice, and Decolonization (Routledge, forthcoming 2020) "Social sciences are still using metatheoretical models of science based on 19th century newtonian concepts of "time and space". Mohammad H. Tamdgidi has produced a 'tour de force' in social theory leaving behind the old newtonian worldview that still informs the social sciences towards a 21st century non-dualistic, non-reductionist, transcultural, transdisciplinary, post-Einsteinian quantum concept of TimeSpace. Tamdgidi goes beyond previous efforts done by titans of social theory such as Immanuel Wallerstein and Kyriakos Kontopoulos. This book is a quantum leap in the social sciences at large. Tamdgidi decolonizes the social sciences away from its Eurocentric colonial foundations bringing it closer not only to contemporary natural sciences but also to its convergence with the old Eastern philosophical and mystical worldviews. This book is a masterpiece in social theory for a 21st century decolonial social science. A must read!" — Professor Ramon Grosfoguel, University of California at Berkeley​​​​​​​ "Tamdgidi’s Liberating Sociology succeeds in adding physical structures to the breadth of the world-changing vision of C. Wright Mills, the man who mentored me at Columbia. Relativity theory and quantum mechanics can help us to understand the human universe no less than the physical universe. Just as my Creating Life Before Death challenges bureaucracy’s conformist orientation, so does Liberating Sociology“liberate the infinite possibilities inherent in us.” Given our isolation in the Coronavirus era, we have time to follow Tamdgidi in his journey into the depth of inner space, where few men have gone before. It is there that we can gain emotional strength, just as Churchill, Roosevelt and Mandela empowered themselves. That personal development was needed to address not only their own personal problems, but also the mammoth problems of their societies. We must learn to do the same." — Bernard Phillips, Emeritus Sociology Professor, Boston University

What Caused The Big Bang

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Author : Rem B. Edwards
language : en
Publisher: BRILL
Release Date : 2021-07-26

What Caused The Big Bang written by Rem B. Edwards and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-26 with Philosophy categories.

This book critically explores answers to the big question, What produced our universe around fifteen billion years ago in a Big Bang? It critiques contemporary atheistic cosmologies, including Steady State, Oscillationism, Big Fizz, Big Divide, and Big Accident, that affirm the eternity and self-sufficiency of the universe without God. This study defends and revises Process Theology and arguments for God's existence from the universe's life-supporting order and contingent existence.

Convex Optimization Euclidean Distance Geometry

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Author : Jon Dattorro
language : en
Publisher: Meboo Publishing USA
Release Date : 2005

Convex Optimization Euclidean Distance Geometry written by Jon Dattorro and has been published by Meboo Publishing USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

The study of Euclidean distance matrices (EDMs) fundamentally asks what can be known geometrically given onlydistance information between points in Euclidean space. Each point may represent simply locationor, abstractly, any entity expressible as a vector in finite-dimensional Euclidean space.The answer to the question posed is that very much can be known about the points;the mathematics of this combined study of geometry and optimization is rich and deep.Throughout we cite beacons of historical accomplishment.The application of EDMs has already proven invaluable in discerning biological molecular conformation.The emerging practice of localization in wireless sensor networks, the global positioning system (GPS), and distance-based pattern recognitionwill certainly simplify and benefit from this theory.We study the pervasive convex Euclidean bodies and their various representations.In particular, we make convex polyhedra, cones, and dual cones more visceral through illustration, andwe study the geometric relation of polyhedral cones to nonorthogonal bases biorthogonal expansion.We explain conversion between halfspace- and vertex-descriptions of convex cones,we provide formulae for determining dual cones,and we show how classic alternative systems of linear inequalities or linear matrix inequalities and optimality conditions can be explained by generalized inequalities in terms of convex cones and their duals.The conic analogue to linear independence, called conic independence, is introducedas a new tool in the study of classical cone theory; the logical next step in the progression:linear, affine, conic.Any convex optimization problem has geometric interpretation.This is a powerful attraction: the ability to visualize geometry of an optimization problem.We provide tools to make visualization easier.The concept of faces, extreme points, and extreme directions of convex Euclidean bodiesis explained here, crucial to understanding convex optimization.The convex cone of positive semidefinite matrices, in particular, is studied in depth.We mathematically interpret, for example,its inverse image under affine transformation, and we explainhow higher-rank subsets of its boundary united with its interior are convex.The Chapter on "Geometry of convex functions",observes analogies between convex sets and functions:The set of all vector-valued convex functions is a closed convex cone.Included among the examples in this chapter, we show how the real affinefunction relates to convex functions as the hyperplane relates to convex sets.Here, also, pertinent results formultidimensional convex functions are presented that are largely ignored in the literature;tricks and tips for determining their convexityand discerning their geometry, particularly with regard to matrix calculus which remains largely unsystematizedwhen compared with the traditional practice of ordinary calculus.Consequently, we collect some results of matrix differentiation in the appendices.The Euclidean distance matrix (EDM) is studied,its properties and relationship to both positive semidefinite and Gram matrices.We relate the EDM to the four classical axioms of the Euclidean metric;thereby, observing the existence of an infinity of axioms of the Euclidean metric beyondthe triangle inequality. We proceed byderiving the fifth Euclidean axiom and then explain why furthering this endeavoris inefficient because the ensuing criteria (while describing polyhedra)grow linearly in complexity and number.Some geometrical problems solvable via EDMs,EDM problems posed as convex optimization, and methods of solution arepresented;\eg, we generate a recognizable isotonic map of the United States usingonly comparative distance information (no distance information, only distance inequalities).We offer a new proof of the classic Schoenberg criterion, that determines whether a candidate matrix is an EDM. Our proofrelies on fundamental geometry; assuming, any EDM must correspond to a list of points contained in some polyhedron(possibly at its vertices) and vice versa.It is not widely known that the Schoenberg criterion implies nonnegativity of the EDM entries; proved here.We characterize the eigenvalues of an EDM matrix and then devisea polyhedral cone required for determining membership of a candidate matrix(in Cayley-Menger form) to the convex cone of Euclidean distance matrices (EDM cone); \ie,a candidate is an EDM if and only if its eigenspectrum belongs to a spectral cone for EDM^N.We will see spectral cones are not unique.In the chapter "EDM cone", we explain the geometric relationship betweenthe EDM cone, two positive semidefinite cones, and the elliptope.We illustrate geometric requirements, in particular, for projection of a candidate matrixon a positive semidefinite cone that establish its membership to the EDM cone. The faces of the EDM cone are described,but still open is the question whether all its faces are exposed as they are for the positive semidefinite cone.The classic Schoenberg criterion, relating EDM and positive semidefinite cones, isrevealed to be a discretized membership relation (a generalized inequality, a new Farkas''''''''-like lemma)between the EDM cone and its ordinary dual. A matrix criterion for membership to the dual EDM cone is derived thatis simpler than the Schoenberg criterion.We derive a new concise expression for the EDM cone and its dual involvingtwo subspaces and a positive semidefinite cone."Semidefinite programming" is reviewedwith particular attention to optimality conditionsof prototypical primal and dual conic programs,their interplay, and the perturbation method of rank reduction of optimal solutions(extant but not well-known).We show how to solve a ubiquitous platonic combinatorial optimization problem from linear algebra(the optimal Boolean solution x to Ax=b)via semidefinite program relaxation.A three-dimensional polyhedral analogue for the positive semidefinite cone of 3X3 symmetricmatrices is introduced; a tool for visualizing in 6 dimensions.In "EDM proximity"we explore methods of solution to a few fundamental and prevalentEuclidean distance matrix proximity problems; the problem of finding that Euclidean distance matrix closestto a given matrix in the Euclidean sense.We pay particular attention to the problem when compounded with rank minimization.We offer a new geometrical proof of a famous result discovered by Eckart \& Young in 1936 regarding Euclideanprojection of a point on a subset of the positive semidefinite cone comprising all positive semidefinite matriceshaving rank not exceeding a prescribed limit rho.We explain how this problem is transformed to a convex optimization for any rank rho.

Why Greatness Cannot Be Planned

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Author : Kenneth O. Stanley
language : en
Publisher: Springer
Release Date : 2015-05-05

Why Greatness Cannot Be Planned written by Kenneth O. Stanley and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-05 with Computers categories.

Why does modern life revolve around objectives? From how science is funded, to improving how children are educated -- and nearly everything in-between -- our society has become obsessed with a seductive illusion: that greatness results from doggedly measuring improvement in the relentless pursuit of an ambitious goal. In Why Greatness Cannot Be Planned, Stanley and Lehman begin with a surprising scientific discovery in artificial intelligence that leads ultimately to the conclusion that the objective obsession has gone too far. They make the case that great achievement can't be bottled up into mechanical metrics; that innovation is not driven by narrowly focused heroic effort; and that we would be wiser (and the outcomes better) if instead we whole-heartedly embraced serendipitous discovery and playful creativity. Controversial at its heart, yet refreshingly provocative, this book challenges readers to consider life without a destination and discovery without a compass.

How Is Quantum Field Theory Possible

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Author : Sunny Y. Auyang
language : en
Publisher: Oxford University Press, USA
Release Date : 1995

How Is Quantum Field Theory Possible written by Sunny Y. Auyang and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.

How can we know the microscopic world without a measurement theory? What are the general conditions of the world that make possible such knowledge? What are the presuppositions of physical theories? This book includes an analysis of quantum field theory, and quantum mechanics and interacting systems are addressed in a unified framework.

The Ontology Of Spacetime

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Author :
language : en
Publisher: Elsevier
Release Date : 2006-07-10

The Ontology Of Spacetime written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-10 with Science categories.

This book contains selected papers from the First International Conference on the Ontology of Spacetime. Its fourteen chapters address two main questions: first, what is the current status of the substantivalism/relationalism debate, and second, what about the prospects of presentism and becoming within present-day physics and its philosophy? The overall tenor of the four chapters of the book's first part is that the prospects of spacetime substantivalism are bleak, although different possible positions remain with respect to the ontological status of spacetime. Part II and Part III of the book are devoted to presentism, eternalism, and becoming, from two different perspectives. In the six chapters of Part II it is argued, in different ways, that relativity theory does not have essential consequences for these issues. It certainly is true that the structure of time is different, according to relativity theory, from the one in classical theory. But that does not mean that a decision is forced between presentism and eternalism, or that becoming has proved to be an impossible concept. It may even be asked whether presentism and eternalism really offer different ontological perspectives at all. The writers of the last four chapters, in Part III, disagree. They argue that relativity theory is incompatible with becoming and presentism. Several of them come up with proposals to go beyond relativity, in order to restore the prospects of presentism.· Space and time in present-day physics and philosophy · Introduction from scratch of the debates surrounding time · Broad spectrum of approaches, coherently represented

Suffering Time Philosophical Kabbalistic And Asidic Reflections On Temporality

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Author : Elliot R. Wolfson
language : en
Publisher: BRILL
Release Date : 2021-05-25

Suffering Time Philosophical Kabbalistic And Asidic Reflections On Temporality written by Elliot R. Wolfson and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-25 with Philosophy categories.

No one theory of time is pursued in these essays, but a major theme that threads them together is Wolfson’s signature idea of the timeswerve as a linear circularity or a circular linearity, expressions that are meant to avoid the conventional split between the two temporal modalities of the line and the circle. The conception of time elicited by Wolfson from a host of philosophical and mystical sources—both Jewish and non-Jewish—buttresses the contention that it is precisely structural invariability that engenders interpretive variation. This hermeneutical axiom is justified, in turn, by the presumption regarding the cadence of time as the constant return of what has always been what is yet to be. The telling of time wells forth from the time of telling. One cannot speak of the being of time, consequently, except from the standpoint of the time of being, nor of the time of being except from the standpoint of the being of time.

Reality And Measurement In Algebraic Quantum Theory

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Author : Masanao Ozawa
language : en
Publisher: Springer
Release Date : 2018-11-29

Reality And Measurement In Algebraic Quantum Theory written by Masanao Ozawa and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-29 with Mathematics categories.

This volume contains papers based on presentations at the “Nagoya Winter Workshop 2015: Reality and Measurement in Algebraic Quantum Theory (NWW 2015)”, held in Nagoya, Japan, in March 2015. The foundations of quantum theory have been a source of mysteries, puzzles, and confusions, and have encouraged innovations in mathematical languages to describe, analyze, and delineate this wonderland. Both ontological and epistemological questions about quantum reality and measurement have been placed in the center of the mysteries explored originally by Bohr, Heisenberg, Einstein, and Schrödinger. This volume describes how those traditional problems are nowadays explored from the most advanced perspectives. It includes new research results in quantum information theory, quantum measurement theory, information thermodynamics, operator algebraic and category theoretical foundations of quantum theory, and the interplay between experimental and theoretical investigations on the uncertainty principle. This book is suitable for a broad audience of mathematicians, theoretical and experimental physicists, and philosophers of science.

From Point To Pixel

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Author : Meredith Hoy
language : en
Publisher: Dartmouth College Press
Release Date : 2017-01-03

From Point To Pixel written by Meredith Hoy and has been published by Dartmouth College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-03 with Art categories.

In this fiercely ambitious study, Meredith Anne Hoy seeks to reestablish the very definitions of digital art and aesthetics in art history. She begins by problematizing the notion of digital aesthetics, tracing the nineteenth- and twentieth-century movements that sought to break art down into its constituent elements, which in many ways predicted and paved the way for our acceptance of digital art. Through a series of case studies, Hoy questions the separation between analog and digital art and finds that while there may be sensual and experiential differences, they fall within the same technological categories. She also discusses computational art, in which the sole act of creation is the building of a self-generating algorithm. The medium isn't the message - what really matters is the degree to which the viewer can sense a creative hand in the art.