Operational Spacetime

Author : Heinrich Saller
Publisher : Springer Science & Business Media
Page : 349 pages
File Size : 40,6 Mb
Release : 2009-10-28
Category : Science
ISBN : 9781441908988

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Operational Spacetime by Heinrich Saller Pdf

The book provides readers with an understanding of the mutual conditioning of spacetime and interactions and matter. The spacetime manifold will be looked at to be a reservoir for the parametrization of operation Lie groups or subgroup classes of Lie groups. With basic operation groups or Lie algebras, all physical structures can be interpreted in terms of corresponding realizations or representations. Physical properties are related eigenvalues or invariants. As an explicit example of operational spacetime is proposed, called electroweak spacetime, parametrizing the classes of the internal hypercharge - isospin group in the general linear group in two complex dimensions, i.e., the Lorentz cover group, extended by the casual (dilation) and phase group. Its representations and invariants will be investigated with the aim to connect them, qualitatively and numerically, with the properties of interactions and particles as arising in the representations of its tangent Minkowski spaces.

Author : Charles Heal,Robert J. Bunker
Publisher : iUniverse
Page : 268 pages
File Size : 47,5 Mb
Release : 2014-07-15
Category : Political Science
ISBN : 9781491738733

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Fifth Dimensional Operations by Charles Heal,Robert J. Bunker Pdf

Examples of 5th dimensional practical applications derived from advanced weaponry which generates an invisible pain barrier and a video camera & infrared attachment which allows for crossing the human-sensing dimensional barrier and seeing into barricaded rooms.

Author : Shamik Dasgupta,Ravit Dotan,Brad Weslake
Publisher : Routledge
Page : 213 pages
File Size : 47,7 Mb
Release : 2020-10-27
Category : Philosophy
ISBN : 9781317497158

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Current Controversies in Philosophy of Science by Shamik Dasgupta,Ravit Dotan,Brad Weslake Pdf

Current Controversies in Philosophy of Science asks twelve philosophers to debate six questions that are driving contemporary work in this area of philosophy. The questions are: I. Are Boltzmann Brains Bad? II. Does Mathematical Explanation Require Mathematical Truth? III. Does Quantum Mechanics Suggest Spacetime is Nonfundamental? IV. Is Evolution Fundamental When It Comes to Defining Biological Ontology? V. Is Chance Ontologically Fundamental? VI. Are Sexes Natural Kinds? These debates explore the philosophical foundations of particular scientific disciplines, while also examining more general issues in the philosophy of science. The result is a book that’s perfect for the advanced philosophy student, building up their knowledge of the foundations of the field and engaging with its cutting-edge questions. Preliminary descriptions of each chapter, annotated lists of further readings for each controversy, and study questions for each chapter help provide clearer and richer snapshots of active controversies for all readers.

Author : Jaqueline Rossignol,LuAnn Wandsnider
Publisher : Springer Science & Business Media
Page : 320 pages
File Size : 40,8 Mb
Release : 1992-08-31
Category : Social Science
ISBN : 0306441616

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Space, Time, and Archaeological Landscapes by Jaqueline Rossignol,LuAnn Wandsnider Pdf

The last 20 years have witnessed a proliferation of new approaches in archaeolog ical data recovery, analysis, and theory building that incorporate both new forms of information and new methods for investigating them. The growing importance of survey has meant an expansion of the spatial realm of traditional archaeological data recovery and analysis from its traditional focus on specific locations on the landscape-archaeological sites-to the incorporation of data both on-site and off-site from across extensive regions. Evolving survey methods have led to experiments with nonsite and distributional data recovery as well as the critical evaluation of the definition and role of archaeological sites in data recovery and analysis. In both survey and excavation, the geomorphological analysis of land scapes has become increasingly important in the analysis of archaeological ma terials. Ethnoarchaeology-the use of ethnography to sharpen archaeological understanding of cultural and natural formation processes-has concentrated study on the formation processes underlying the content and structure of archae ological deposits. These actualistic studies consider patterns of deposition at the site level and the material results of human organization at the regional scale. Ethnoarchaeological approaches have also affected research in theoretical ways by expanding investigation into the nature and organization of systems of land use per se, thus providing direction for further study of the material results of those systems.

Author : Ulrich Majer,Heinz-Ju rgen Schmidt
Publisher : Unknown
Page : 276 pages
File Size : 49,8 Mb
Release : 1994
Category : Relativity (Physics)
ISBN : STANFORD:36105016395043

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Semantical Aspects of Spacetime Theories by Ulrich Majer,Heinz-Ju rgen Schmidt Pdf

Author : Frank Arntzenius
Publisher : Oxford University Press
Page : 128 pages
File Size : 43,8 Mb
Release : 2012-01-19
Category : Philosophy
ISBN : 9780191629143

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Space, Time, and Stuff by Frank Arntzenius Pdf

Frank Arntzenius presents a series of radical new ideas about the structure of space and time. Space, Time, and Stuff is an attempt to show that physics is geometry: that the fundamental structure of the physical world is purely geometrical structure. Along the way, he examines some non-standard views about the structure of spacetime and its inhabitants, including the idea that space and time are pointless, the idea that quantum mechanics is a completely local theory, the idea that antiparticles are just particles travelling back in time, and the idea that time has no structure whatsoever. The main thrust of the book, however, is that there are good reasons to believe that spaces other than spacetime exist, and that it is the existence of these additional spaces that allows one to reduce all of physics to geometry. Philosophy, and metaphysics in particular, plays an important role here: the assumption that the fundamental laws of physics are simple in terms of the fundamental physical properties and relations is pivotal. Without this assumption one gets nowhere. That is to say, when trying to extract the fundamental structure of the world from theories of physics one ignores philosophy at one's peril!

Author : Abdenacer Makhlouf,Eugen Paal,Sergei D. Silvestrov,Alexander Stolin
Publisher : Springer
Page : 680 pages
File Size : 48,5 Mb
Release : 2014-06-17
Category : Mathematics
ISBN : 9783642553615

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Algebra, Geometry and Mathematical Physics by Abdenacer Makhlouf,Eugen Paal,Sergei D. Silvestrov,Alexander Stolin Pdf

This book collects the proceedings of the Algebra, Geometry and Mathematical Physics Conference, held at the University of Haute Alsace, France, October 2011. Organized in the four areas of algebra, geometry, dynamical symmetries and conservation laws and mathematical physics and applications, the book covers deformation theory and quantization; Hom-algebras and n-ary algebraic structures; Hopf algebra, integrable systems and related math structures; jet theory and Weil bundles; Lie theory and applications; non-commutative and Lie algebra and more. The papers explore the interplay between research in contemporary mathematics and physics concerned with generalizations of the main structures of Lie theory aimed at quantization and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry and applications in physics and beyond. The book benefits a broad audience of researchers and advanced students.

Author : Edward Craig
Publisher : Taylor & Francis
Page : 896 pages
File Size : 41,6 Mb
Release : 1998
Category : Philosophy
ISBN : 0415187095

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Routledge Encyclopedia of Philosophy: Genealogy to Iqbal by Edward Craig Pdf

Volume four of a ten volume set which provides full and detailed coverage of all aspects of philosophy, including information on how philosophy is practiced in different countries, who the most influential philosophers were, and what the basic concepts are.

Author : Meinard Kuhlmann,Holger Lyre,Andrew Wayne
Publisher : World Scientific
Page : 376 pages
File Size : 51,8 Mb
Release : 2002-11-26
Category : Science
ISBN : 9789814487337

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Ontological Aspects of Quantum Field Theory by Meinard Kuhlmann,Holger Lyre,Andrew Wayne Pdf

Quantum field theory (QFT) provides the framework for many fundamental theories in modern physics, and over the last few years there has been growing interest in its historical and philosophical foundations. This anthology on the foundations of QFT brings together 15 essays by well-known researchers in physics, the philosophy of physics, and analytic philosophy. Many of these essays were first presented as papers at the conference “Ontological Aspects of Quantum Field Theory”, held at the Zentrum für interdisziplinäre Forschung (ZiF), Bielefeld, Germany. The essays contain cutting-edge work on ontological aspects of QFT, including: the role of measurement and experimental evidence, corpuscular versus field-theoretic interpretations of QFT, the interpretation of gauge symmetry, and localization. This book is ideally suited to anyone with an interest in the foundations of quantum physics, including physicists, philosophers and historians of physics, as well as general readers interested in philosophy or science. Contents:Approaches to Ontology:Candidate General Ontologies for Situating Quantum Field Theory (P Simons)‘Quanta’, Tropes, or Processes: Ontologies for QFT Beyond the Myth of Substance (J Seibt)Analytical Ontologists in Action: A Comment on Seibt and Simons (M Kuhlmann)How Do Field Theories Refer to Entities in a Field? (S Y Auyang)Field Ontologies for QFT:A Naive View of the Quantum Field (A Wayne)Comments on Paul Teller's Book, “An Interpretive Introduction to Quantum Field Theory” (G Fleming)So What Is the Quantum Field? (P Teller)Relativity, Measurement and Renormalization:On the Nature of Measurement Records in Relativistic Quantum Field Theory (J A Barrett)No Place for Particles in Relativistic Quantum Theories? (H Halvorson & R Clifton)Events and Covariance in the Interpretation of Quantum Field Theory (D Dieks)Measurement and Ontology: What Kind of Evidence Can We Have for Quantum Fields? (B Falkenburg)Renormalization and the Disunity of Science (N Huggett)Gauge Symmetries and the Vacuum:The Interpretation of Gauge Symmetry (M Redhead)Comment on Redhead: The Interpretation of Gauge Symmetry (M Drieschner et al.)Is the Zero-Point Energy Real? (S Saunders)Two Comments on the Vacuum in Algebraic Quantum Field Theory (M Rédei) Readership: Physicists, historians of physics and philosophers. Keywords:Quantum Field Theory;Ontology;Foundations of Physics;Philosophy;Measurement;Gauge Field TheoryReviews:“A strength of the volume is its inclusion of commentaries and exchanges.”Studies in History and Philosophy of Modern Physics

Author : Dennis Lehmkuhl,Gregor Schiemann,Erhard Scholz
Publisher : Birkhäuser
Page : 335 pages
File Size : 43,9 Mb
Release : 2017-01-05
Category : Mathematics
ISBN : 9781493932108

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Towards a Theory of Spacetime Theories by Dennis Lehmkuhl,Gregor Schiemann,Erhard Scholz Pdf

This contributed volume is the result of a July 2010 workshop at the University of Wuppertal Interdisciplinary Centre for Science and Technology Studies which brought together world-wide experts from physics, philosophy and history, in order to address a set of questions first posed in the 1950s: How do we compare spacetime theories? How do we judge, objectively, which is the “best” theory? Is there even a unique answer to this question? The goal of the workshop, and of this book, is to contribute to the development of a meta-theory of spacetime theories. Such a meta-theory would reveal insights about specific spacetime theories by distilling their essential similarities and differences, deliver a framework for a class of theories that could be helpful as a blueprint to build other meta-theories, and provide a higher level viewpoint for judging which theory most accurately describes nature. But rather than drawing a map in broad strokes, the focus is on particularly rich regions in the “space of spacetime theories.” This work will be of interest to physicists, as well as philosophers and historians of science working with or interested in General Relativity and/or Space, Time and Gravitation more generally.

Author : David Hestenes
Publisher : Birkhäuser
Page : 122 pages
File Size : 51,6 Mb
Release : 2015-04-25
Category : Mathematics
ISBN : 9783319184135

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Space-Time Algebra by David Hestenes Pdf

This small book started a profound revolution in the development of mathematical physics, one which has reached many working physicists already, and which stands poised to bring about far-reaching change in the future. At its heart is the use of Clifford algebra to unify otherwise disparate mathematical languages, particularly those of spinors, quaternions, tensors and differential forms. It provides a unified approach covering all these areas and thus leads to a very efficient ‘toolkit’ for use in physical problems including quantum mechanics, classical mechanics, electromagnetism and relativity (both special and general) – only one mathematical system needs to be learned and understood, and one can use it at levels which extend right through to current research topics in each of these areas. These same techniques, in the form of the ‘Geometric Algebra’, can be applied in many areas of engineering, robotics and computer science, with no changes necessary – it is the same underlying mathematics, and enables physicists to understand topics in engineering, and engineers to understand topics in physics (including aspects in frontier areas), in a way which no other single mathematical system could hope to make possible. There is another aspect to Geometric Algebra, which is less tangible, and goes beyond questions of mathematical power and range. This is the remarkable insight it gives to physical problems, and the way it constantly suggests new features of the physics itself, not just the mathematics. Examples of this are peppered throughout ‘Space-Time Algebra’, despite its short length, and some of them are effectively still research topics for the future. From the Foreward by Anthony Lasenby

Author : Michael Soffel,Ralf Langhans
Publisher : Springer Science & Business Media
Page : 321 pages
File Size : 43,5 Mb
Release : 2012-10-19
Category : Science
ISBN : 9783642302268

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Space-Time Reference Systems by Michael Soffel,Ralf Langhans Pdf

The high accuracy of modern astronomical spatial-temporal reference systems has made them considerably complex. This book offers a comprehensive overview of such systems. It begins with a discussion of ‘The Problem of Time’, including recent developments in the art of clock making (e.g., optical clocks) and various time scales. The authors address the definitions and realization of spatial coordinates by reference to remote celestial objects such as quasars. After an extensive treatment of classical equinox-based coordinates, new paradigms for setting up a celestial reference system are introduced that no longer refer to the translational and rotational motion of the Earth. The role of relativity in the definition and realization of such systems is clarified. The topics presented in this book are complemented by exercises (with solutions). The authors offer a series of files, written in Maple, a standard computer algebra system, to help readers get a feel for the various models and orders of magnitude. Beyond astrometry, the main fields of application of high-precision astronomical spatial-temporal reference systems and frames are navigation (GPS, interplanetary spacecraft navigation) and global geodynamics, which provide a high-precision Celestial Reference System and its link to any terrestrial spatial-temporal reference system. Mankind’s urgent environmental questions can only be answered in the context of appropriate reference systems in which both aspects, space and time, are realized with a sufficiently high level of accuracy. This book addresses all those interested in high-precision reference systems and the various techniques (GPS, Very Long Baseline Interferometry, Satellite Laser Ranging, Lunar Laser Ranging) necessary for their realization, including the production and dissemination of time signals.

Author : Stanislas Dehaene,Elizabeth Brannon
Publisher : Academic Press
Page : 374 pages
File Size : 44,6 Mb
Release : 2011-07-13
Category : Medical
ISBN : 9780123859495

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Space, Time and Number in the Brain by Stanislas Dehaene,Elizabeth Brannon Pdf

The study of mathematical cognition and the ways in which the ideas of space, time and number are encoded in brain circuitry has become a fundamental issue for neuroscience. How such encoding differs across cultures and educational level is of further interest in education and neuropsychology. This rapidly expanding field of research is overdue for an interdisciplinary volume such as this, which deals with the neurological and psychological foundations of human numeric capacity. A uniquely integrative work, this volume provides a much needed compilation of primary source material to researchers from basic neuroscience, psychology, developmental science, neuroimaging, neuropsychology and theoretical biology. The first comprehensive and authoritative volume dealing with neurological and psychological foundations of mathematical cognition Uniquely integrative volume at the frontier of a rapidly expanding interdisciplinary field Features outstanding and truly international scholarship, with chapters written by leading experts in a variety of fields

Author : James E. Smith
Publisher : Morgan & Claypool Publishers
Page : 245 pages
File Size : 52,9 Mb
Release : 2017-05-18
Category : Computers
ISBN : 9781627058902

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Space-Time Computing with Temporal Neural Networks by James E. Smith Pdf

Understanding and implementing the brain's computational paradigm is the one true grand challenge facing computer researchers. Not only are the brain's computational capabilities far beyond those of conventional computers, its energy efficiency is truly remarkable. This book, written from the perspective of a computer designer and targeted at computer researchers, is intended to give both background and lay out a course of action for studying the brain's computational paradigm. It contains a mix of concepts and ideas drawn from computational neuroscience, combined with those of the author. As background, relevant biological features are described in terms of their computational and communication properties. The brain's neocortex is constructed of massively interconnected neurons that compute and communicate via voltage spikes, and a strong argument can be made that precise spike timing is an essential element of the paradigm. Drawing from the biological features, a mathematics-based computational paradigm is constructed. The key feature is spiking neurons that perform communication and processing in space-time, with emphasis on time. In these paradigms, time is used as a freely available resource for both communication and computation. Neuron models are first discussed in general, and one is chosen for detailed development. Using the model, single-neuron computation is first explored. Neuron inputs are encoded as spike patterns, and the neuron is trained to identify input pattern similarities. Individual neurons are building blocks for constructing larger ensembles, referred to as "columns". These columns are trained in an unsupervised manner and operate collectively to perform the basic cognitive function of pattern clustering. Similar input patterns are mapped to a much smaller set of similar output patterns, thereby dividing the input patterns into identifiable clusters. Larger cognitive systems are formed by combining columns into a hierarchical architecture. These higher level architectures are the subject of ongoing study, and progress to date is described in detail in later chapters. Simulation plays a major role in model development, and the simulation infrastructure developed by the author is described.

Author : Nhu D. Le,James V. Zidek
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 55,5 Mb
Release : 2006-09-13
Category : Science
ISBN : 9780387354293

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Statistical Analysis of Environmental Space-Time Processes by Nhu D. Le,James V. Zidek Pdf

This book provides a broad introduction to the subject of environmental space-time processes, addressing the role of uncertainty. It covers a spectrum of technical matters from measurement to environmental epidemiology to risk assessment. It showcases non-stationary vector-valued processes, while treating stationarity as a special case. In particular, with members of their research group the authors developed within a hierarchical Bayesian framework, the new statistical approaches presented in the book for analyzing, modeling, and monitoring environmental spatio-temporal processes. Furthermore they indicate new directions for development.