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# Symmetry Structure And Spacetime

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**📒Symmetry Structure And Spacetime ✍ Dean Rickles**

**Symmetry Structure and Spacetime**

✏Author :

**Dean Rickles**

✏Publisher :

**Elsevier**

✏Release Date :

**2008**

✏Pages :

**229**

✏ISBN :

**9780444531162**

✏Available Language :

**English, Spanish, And French**

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**✏Symmetry Structure and Spacetime Book Summary :** In this book Rickles considers several interpretative difficulties raised by gauge-type symmetries (those that correspond to no change in physical state). The ubiquity of such symmetries in modern physics renders them an urgent topic in philosophy of physics. Rickles focuses on spacetime physics, and in particular classical and quantum general relativity. Here the problems posed are at their most pathological, involving the apparent disappearance of spacetime! Rickles argues that both traditional ontological positions should be replaced by a structuralist account according to which relational structure is what the physics is about. · Unified treatment of gauge symmetries and their relationship to ontology in physics · Brings philosophy of space and time into step with developments in modern physics · Argues against the received view on the implications of symmetries in physics · Provides elementary treatments of technical issues · Illustrates a novel defense of structuralism

**📒Symmetries And Curvature Structure In General Relativity ✍ Hall Graham S**

**Symmetries And Curvature Structure In General Relativity**

✏Author :

**Hall Graham S**

✏Publisher :

**World Scientific**

✏Release Date :

**2004-04-27**

✏Pages :

**440**

✏ISBN :

**9789814505314**

✏Available Language :

**English, Spanish, And French**

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**✏Symmetries And Curvature Structure In General Relativity Book Summary :** This is a text on classical general relativity from a geometrical viewpoint. Introductory chapters are provided on algebra, topology and manifold theory, together with a chapter on the basic ideas of space-time manifolds and Einstein's theory. There is a detailed account of algebraic structures and tensor classification in general relativity and also of the relationships between the metric, connection and curvature structures on space-times. The latter includes chapters on holonomy and sectional curvature. An extensive study is presented of symmetries in general relativity, including isometries, homotheties, conformal symmetries and affine, projective and curvature collineations. Several general properties of such symmetries are studied and a preparatory section on transformation groups and on the properties of Lie algebras of vector fields on manifolds is provided.

**📒Space Time Structure ✍ Erwin Schrödinger**

**Space Time Structure**

✏Author :

**Erwin Schrödinger**

✏Publisher :

**Cambridge University Press**

✏Release Date :

**1985-10-17**

✏Pages :

**119**

✏ISBN :

**0521315204**

✏Available Language :

**English, Spanish, And French**

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**✏Space Time Structure Book Summary :** Reprint of a classical book. First published in 1950, and reprinted in 1954 and 1960, this lucid and profound exposition of Einstein's 1915 theory of gravitation is still essential reading.

**📒Symmetries In Physics ✍ Katherine Brading**

**Symmetries in Physics**

✏Author :

**Katherine Brading**

✏Publisher :

**Cambridge University Press**

✏Release Date :

**2003-12-04**

✏Pages :

✏ISBN :

**1139442023**

✏Available Language :

**English, Spanish, And French**

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**✏Symmetries in Physics Book Summary :** Symmetry considerations dominate modern fundamental physics, both in quantum theory and in relativity. This book presents a collection of philosophy-on-physics papers, highlighting the main issues and controversies, and providing an entry into the subject for both physicists and philosophers. It covers topical issues such as the significance of gauge symmetry, particle identity in quantum theory, how to make sense of parity violation, the role of symmetry-breaking, the empirical status of symmetry principles, and so forth, along with more traditional problems in the philosophy of science. These include the status of the laws of nature, the relationships between mathematics, physical theory, and the world, and the extent to which mathematics dictates physics. A valuable reference for students and researchers, it will also be of interest to those studying the foundations of physics, philosophy of physics and philosophy of science.

**Spinors and Space Time Volume 1 Two Spinor Calculus and Relativistic Fields**

✏Author :

**Roger Penrose**

✏Publisher :

**Cambridge University Press**

✏Release Date :

**1984**

✏Pages :

**472**

✏ISBN :

**0521337070**

✏Available Language :

**English, Spanish, And French**

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**✏Spinors and Space Time Volume 1 Two Spinor Calculus and Relativistic Fields Book Summary :** Volume 1 introduces and systematically develops the calculus in a first detailed exposition of this technique which provides shortcuts for some very tedious calculations.

**📒God Time And Eternity ✍ W.L. Craig**

**God Time and Eternity**

✏Author :

**W.L. Craig**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2001-09-30**

✏Pages :

**321**

✏ISBN :

**1402000111**

✏Available Language :

**English, Spanish, And French**

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**✏God Time and Eternity Book Summary :** hose who think about time are thinking deeply. Those who think about God T are thinking even more deeply still. Those who try to think about God and time are pressing the very limits of human understanding. Undaunted, this is precisely the project which we have set for ourselves in this study: to try to grasp the nature of divine eternity, to understand what is meant by the amnnation that God is etemal, to fonnulate a coherent doctrine ofGod's relationship with time. This study, the second installment of a long-range research pro gram devoted to a philosophical analysis of the principal attributes of God, flows naturally out of my previous exploration of divine omniscience. ! For the most contentious issue with respect to God's being omniscient concerns divine foreknowledge of future contingents, such as free acts of human agents. The very concept of foreknowledge presupposes that God is temporal, and a good many thinkers, from Boethius to certain contemporary philosophers, have thought to avoid the alleged incompatibility of divine foreknowledge and human freedom by afflnning the timelessness of God. Thus, in examining the complex of issues surrounding the foreknowledge question, we found ourselves already immersed in the question of divine eternity.

**📒The Tenseless Theory Of Time ✍ W.L. Craig**

**The Tenseless Theory of Time**

✏Author :

**W.L. Craig**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2000-11-30**

✏Pages :

**256**

✏ISBN :

**0792366352**

✏Available Language :

**English, Spanish, And French**

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**✏The Tenseless Theory of Time Book Summary :** The central question in the philosophy of time is whether time is tensed or tenseless, viz., whether the moments of time are objectively past, present or future, or whether they are ordered merely by the tenseless temporal relations earlier than, simultaneous with, and later than. In this book and the companion volume The Tensed Theory of Time: A Critical Examination, Craig undertakes the first thorough appraisal of the arguments for and against the tensed and tenseless theories of time. The discussions range widely over issues in the philosophy of language, phenomenology, relativity theory, philosophy of space and time, metaphysics, and philosophy of religion. The Tenseless Theory of Time sets out to discover whether the ineliminability of tense from language and our experience of tense warrants a belief in its objective ontological status, or whether the defeaters raised by McTaggart's paradox and the Myth of Passage serve to undermine any warrant that the tensed theory of time may be supposed to enjoy.

**📒The Structure And Interpretation Of The Standard Model ✍ Gordon McCabe**

**The Structure and Interpretation of the Standard Model**

✏Author :

**Gordon McCabe**

✏Publisher :

**Elsevier**

✏Release Date :

**2011-08-30**

✏Pages :

**264**

✏ISBN :

**0080498302**

✏Available Language :

**English, Spanish, And French**

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**✏The Structure and Interpretation of the Standard Model Book Summary :** This book provides a philosophically informed and mathematically rigorous introduction to the 'standard model' of particle physics. The standard model is the currently accepted and experimentally verified model of all the particles and interactions in our universe. All the elementary particles in our universe, and all the non-gravitational interactions -the strong nuclear force, the weak nuclear force, and the electromagnetic force - are collected together and, in the case of the weak and electromagnetic forces, unified in the standard model. Rather than presenting the calculational recipes favored in most treatments of the standard model, this text focuses upon the elegant mathematical structures and the foundational concepts of the standard model. · Combines an exposition of the philosophical foundations and rigorous mathematical structure of particle physics · Demonstrates the standard model with elegant mathematics, rather than a medley of computational recipes · Promotes a group-theoretical and fibre-bundle approach to the standard model, rather than the Lagrangian approach favoured by calculationalists · Explains the different approaches to particle physics and the standard model which can be found within the literature

**📒Cartesian Spacetime ✍ E. Slowik**

**Cartesian Spacetime**

✏Author :

**E. Slowik**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2013-03-14**

✏Pages :

**252**

✏ISBN :

**9789401709750**

✏Available Language :

**English, Spanish, And French**

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**✏Cartesian Spacetime Book Summary :** Although Descartes' natural philosophy marked an advance in the development of modern science, many critics over the years, such as Newton, have rejected his particular `relational' theory of space and motion. Nevertheless, it is also true that most historians and philosophers have not sufficiently investigated the viability of the Cartesian theory. This book explores, consequently, the success of the arguments against Descartes' theory of space and motion by determining if it is possible to formulate a version that can eliminate its alleged problems. In essence, this book comprises the first sustained attempt to construct a consistent `Cartesian' spacetime theory: that is, a theory of space and time that consistently incorporates Descartes' various physical and metaphysical concepts. Intended for students in the history of philosophy and science, this study reveals the sophisticated insights, and often quite successful elements, in Descartes' unjustly neglected relational theory of space and motion.

**📒The Large Scale Structure Of Space Time ✍ S. W. Hawking**

**The Large Scale Structure of Space Time**

✏Author :

**S. W. Hawking**

✏Publisher :

**Cambridge University Press**

✏Release Date :

**1975-02-27**

✏Pages :

✏ISBN :

**9781139810951**

✏Available Language :

**English, Spanish, And French**

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**✏The Large Scale Structure of Space Time Book Summary :** Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.

**📒Gravitation And Gauge Symmetries ✍ M Blagojevic**

**Gravitation and Gauge Symmetries**

✏Author :

**M Blagojevic**

✏Publisher :

**CRC Press**

✏Release Date :

**2001-10-25**

✏Pages :

**522**

✏ISBN :

**9781420034264**

✏Available Language :

**English, Spanish, And French**

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**✏Gravitation and Gauge Symmetries Book Summary :** In the course of the development of electromagnetic, weak and strong interactions, the concept of (internal) gauge invariance grew up and established itself as an unavoidable dynamical principle in particle physics. It is less known that the principle of equivalence, and the basic dynamical properties of the gravitational interaction can also be ex

**📒Proceedings Of The Fifth Meeting On Cpt And Lorentz Symmetry Bloomington Usa 28 June 2 July 2010 ✍ V. Alan Kostelecky**

**Proceedings of the Fifth Meeting on CPT and Lorentz Symmetry Bloomington USA 28 June 2 July 2010**

✏Author :

**V. Alan Kostelecky**

✏Publisher :

**World Scientific**

✏Release Date :

**2011**

✏Pages :

**298**

✏ISBN :

**9789814327671**

✏Available Language :

**English, Spanish, And French**

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**✏Proceedings of the Fifth Meeting on CPT and Lorentz Symmetry Bloomington USA 28 June 2 July 2010 Book Summary :** This book contains the Proceedings of the Fifth Meeting on CPT and Lorentz Symmetry, held at Indiana University in Bloomington from June 28 to July 2, 2010. The Meeting focused on tests of these fundamental symmetries and on related theoretical issues, including scenarios for possible violations. Topics covered at the meeting include searches for CPT and Lorentz violations involving: birefringence and dispersion from cosmological sources, clock-comparison measurements, CMB polarization, electromagnetic resonant cavities, equivalence principle, gauge and Higgs particles, high-energy astrophysical observations, laboratory and gravimetric tests of gravity, matter interferometry, neutrino oscillations, oscillations and decays of K, D, B mesons, particle-antiparticle comparisons, post-newtonian gravity in the solar system and beyond, second- and third-generation particles, space-based missions, spectroscopy of hydrogen and antihydrogen, and spin polarized matter. Theoretical discussions include physical effects at the level of the Standard Model, General Relativity, and beyond; the possible origins and mechanisms for Lorentz and CPT violations; and related classical and quantum issues in field theory, particle physics, gravity, and string theory.

**A Collection of Polish Works on Philosophical Problems of Time and Spacetime**

✏Author :

**Helena Eilstein**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2002-06-30**

✏Pages :

**148**

✏ISBN :

**1402006705**

✏Available Language :

**English, Spanish, And French**

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**✏A Collection of Polish Works on Philosophical Problems of Time and Spacetime Book Summary :** These works concern fundamental philosophical problems of time and spacetime, such as the implications of the absolute and relations concepts of motion for the disputes about the character of spacetime, the role of relativity, quantum mechanics, quantum gravity and noncommutative geometry with respect to the controversy concerning the objectivity of the flow of time, the existence of the future, the concept of branching spacetime. One paper presents the views on time of an outstanding representative of phenomenology, Roman Ingarden, thus enriching the book with some questions of philosophical anthropology and ethics. The collection is mainly addressed to research workers and graduate students.

**Spinors and Space Time Volume 2 Spinor and Twistor Methods in Space Time Geometry**

✏Author :

**Roger Penrose**

✏Publisher :

**Cambridge University Press**

✏Release Date :

**1984**

✏Pages :

**512**

✏ISBN :

**0521347866**

✏Available Language :

**English, Spanish, And French**

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**✏Spinors and Space Time Volume 2 Spinor and Twistor Methods in Space Time Geometry Book Summary :** Volume 2 introduces the theory of twistors and two-spinors and shows how it can be applied. Includes a comprehensive treatment of the conformal approach to space-time infinity with results on general relativistic mass and angular momentum.

**📒Quantum Fluctuations Of Spacetime ✍ Lawrence B. Crowell**

**Quantum Fluctuations of Spacetime**

✏Author :

**Lawrence B. Crowell**

✏Publisher :

**World Scientific Publishing Company Incorporated**

✏Release Date :

**2005**

✏Pages :

**373**

✏ISBN :

**9789812565150**

✏Available Language :

**English, Spanish, And French**

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**✏Quantum Fluctuations of Spacetime Book Summary :** Three key aspects of quantum gravity are considered in this book: phenomenology, potential experimental aspects and foundational theory. The phenomenology is the treatment of metric quantum fluctuations as torsional curves that deviate from classical expectations. This leads to possible experimental configurations that may detect such fluctuations. Most of these proposed experiments are quantum optical measurements of subtle quantum gravity effects in the interaction of photons and atoms. The foundational discussions attempt to find an substratum to string theories, which are motivated by the phenomenological treatment. Quantum gravity is not the quantization of general relativity, but is instead the embedding of quantum theory and gravitation into a more fundamental field theoretic framework.

**📒Symmetries Lie Algebras And Representations ✍ Jürgen Fuchs**

**Symmetries Lie Algebras and Representations**

✏Author :

**Jürgen Fuchs**

✏Publisher :

**Cambridge University Press**

✏Release Date :

**2003-10-07**

✏Pages :

**464**

✏ISBN :

**0521541190**

✏Available Language :

**English, Spanish, And French**

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**✏Symmetries Lie Algebras and Representations Book Summary :** This book gives an introduction to Lie algebras and their representations. Lie algebras have many applications in mathematics and physics, and any physicist or applied mathematician must nowadays be well acquainted with them.

**📒Transcendental Arguments And Science ✍ P. Bieri**

**Transcendental Arguments and Science**

✏Author :

**P. Bieri**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2012-12-06**

✏Pages :

**326**

✏ISBN :

**9789400994102**

✏Available Language :

**English, Spanish, And French**

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**✏Transcendental Arguments and Science Book Summary :** The goal of the present volume is to discuss the notion of a 'conceptual framework' or 'conceptual scheme', which has been dominating much work in the analysis and justification of knowledge in recent years. More specifi cally, this volume is designed to clarify the contrast between two competing approaches in the area of problems indicated by this notion: On the one hand, we have the conviction, underlying much present-day work in the philosophy of science, that the best we can hope for in the justifi cation of empirical knowledge is to reconstruct the conceptual means actually employed by science, and to develop suitable models for analyzing conceptual change involved in the progress of science. This view involves the assumption that we should stop taking foundational questions of epistemology seriously and discard once and for all the quest for uncontrovertible truth. The result ing program of justifying epistemic claims by subsequently describing patterns of inferentially connected concepts as they are at work in actual science is closely connected with the idea of naturalizing epistemology, with concep tual relativism, and with a pragmatic interpretation of knowledge. On the other hand, recent epistemology tends to claim that no subsequent reconstruction of actually employed conceptual frameworks is sufficient for providing epistemic justification for our beliefs about the world. This second claim tries to resist the naturalistic and pragmatic approach to epistemology and insists on taking the epistemological sceptic seriously.

**📒Deformed Spacetime ✍ Fabio Cardone**

**Deformed Spacetime**

✏Author :

**Fabio Cardone**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2007-09-04**

✏Pages :

**506**

✏ISBN :

**9781402062834**

✏Available Language :

**English, Spanish, And French**

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**✏Deformed Spacetime Book Summary :** This volume provides a detailed discussion of the mathematical aspects and physical applications of a new geometrical structure of space-time, based on a generalization ("deformation") of the usual Minkowski space, as supposed to be endowed with a metric whose coefficients depend on the energy. This new five-dimensional scheme (Deformed Relativity in Five Dimensions, DR5) represents a true generalization of the usual Kaluza-Klein (KK) formalism.

**📒Discovering The Natural Laws ✍ Milton A. Rothman**

**Discovering the Natural Laws**

✏Author :

**Milton A. Rothman**

✏Publisher :

**Courier Corporation**

✏Release Date :

**1989-01-01**

✏Pages :

**242**

✏ISBN :

**0486261786**

✏Available Language :

**English, Spanish, And French**

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**✏Discovering the Natural Laws Book Summary :** Accessible, nonmathematical introduction to theory, experiments underlying laws of gravitation, motion, conservation of energy, electromagnetism, relativity, more. New epilogue. Bibliography.

**📒Group Theory In Physics A Practitioner S Guide ✍ Traubenberg M Rausch De**

**Group Theory In Physics A Practitioner s Guide**

✏Author :

**Traubenberg M Rausch De**

✏Publisher :

**World Scientific**

✏Release Date :

**2018-09-19**

✏Pages :

**760**

✏ISBN :

**9789813273627**

✏Available Language :

**English, Spanish, And French**

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**✏Group Theory In Physics A Practitioner s Guide Book Summary :** This book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples.The first half reviews the algebraic, geometrical and topological notions underlying the theory of Lie groups, with a review of the representation theory of finite groups. The topic of Lie algebras is revisited from the perspective of realizations, useful for explicit computations within these groups. The second half is devoted to applications in physics, divided into three main parts — the first deals with space-time symmetries, the Wigner method for representations and applications to relativistic wave equations. The study of kinematical algebras and groups illustrates the properties and capabilities of the notions of contractions, central extensions and projective representations. Gauge symmetries and symmetries in Particle Physics are studied in the context of the Standard Model, finishing with a discussion on Grand-Unified Theories.

**📒Symmetry And The Monster ✍ Mark Ronan**

**Symmetry and the Monster**

✏Author :

**Mark Ronan**

✏Publisher :

**OUP Oxford**

✏Release Date :

**2006-05-18**

✏Pages :

**272**

✏ISBN :

**9780191579387**

✏Available Language :

**English, Spanish, And French**

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**✏Symmetry and the Monster Book Summary :** Imagine a giant snowflake in 196,884 dimensions... This is the story of a mathematical quest that began two hundred years ago in revolutionary France, led to the biggest collaboration ever between mathematicians across the world, and revealed the 'Monster' - not monstrous at all, but a structure of exquisite beauty and complexity. Told here for the first time in accessible prose, it is a story that involves brilliant yet tragic characters, curious number 'coincidences' that led to breakthroughs in the mathematics of symmetry, and strange crystals that reach into many dimensions. And it is a story that is not yet over, for we have yet to understand the deep significance of the Monster - and its tantalizing hints of connections with the physical structure of spacetime. Once we understand the full nature of the Monster, we may well have revealed a whole new and deeper understanding of the nature of our Universe.

**📒Aging And The Art Of Living ✍ Jan Baars**

**Aging and the Art of Living**

✏Author :

**Jan Baars**

✏Publisher :

**JHU Press**

✏Release Date :

**2012-10-01**

✏Pages :

**304**

✏ISBN :

**9781421407098**

✏Available Language :

**English, Spanish, And French**

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**✏Aging and the Art of Living Book Summary :** In this deeply considered meditation on aging in Western culture, Jan Baars argues that, in today’s world, living longer does not necessarily mean living better. He contends that there has been an overall loss of respect for aging, to the point that understanding and "dealing with" aging people has become a process focused on the decline of potential and the advance of disease rather than on the accumulation of wisdom and the creation of new skills. To make his case, Baars compares and contrasts the works of such modern-era thinkers as Foucault, Heidegger, and Husserl with the thought of Plato, Aristotle, Sophocles, Cicero, and other Ancient and Stoic philosophers. He shows how people in the classical periodâ€”less able to control health hazardsâ€”had a far better sense of the provisional nature of living, which led to a philosophical and religious emphasis on cultivating the art of living and the idea of wisdom. This is not to say that modern society’s assessments of aging are insignificant, but they do need to balance an emphasis on the measuring of age with the concept of "living in time." Gerontologists, philosophers, and students will find Baars' discussion to be a powerful, perceptive conversation starter.

**📒Noncommutative Spacetimes ✍ Paolo Aschieri**

**Noncommutative Spacetimes**

✏Author :

**Paolo Aschieri**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2009-07-14**

✏Pages :

**199**

✏ISBN :

**9783540897927**

✏Available Language :

**English, Spanish, And French**

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**✏Noncommutative Spacetimes Book Summary :** There are many approaches to noncommutative geometry and to its use in physics. This volume addresses the subject by combining the deformation quantization approach, based on the notion of star-product, and the deformed quantum symmetries methods, based on the theory of quantum groups. The aim of this work is to give an introduction to this topic and to prepare the reader to enter the research field quickly. The order of the chapters is "physics first": the mathematics follows from the physical motivations (e.g. gauge field theories) in order to strengthen the physical intuition. The new mathematical tools, in turn, are used to explore further physical insights. A last chapter has been added to briefly trace Julius Wess' (1934-2007) seminal work in the field.

**📒The Necessary Structure Of The All Pervading Aether ✍ Peter Forrest**

**The Necessary Structure of the All pervading Aether**

✏Author :

**Peter Forrest**

✏Publisher :

**Walter de Gruyter**

✏Release Date :

**2013-05-02**

✏Pages :

**226**

✏ISBN :

**9783110325928**

✏Available Language :

**English, Spanish, And French**

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**✏The Necessary Structure of the All pervading Aether Book Summary :** In this book I investigate the necessary structure of the aether – the stuff that fills the whole universe. Some of my conclusions are. 1. There is an enormous variety of structures that the aether might, for all we know, have. 2. Probably the aether is point-free. 3. In that case, it should be distinguished from Space-time, which is either a fiction or a construct. 4. Even if the aether has points, we should reject the orthodoxy that all regions are grounded in points by summation. 5. If the aether is point-free but not continuous, its most likely structure has extended atoms that are not simples. 6. Space-time is symmetric if and only if the aether is continuous. 7. If the aether is continuous, we should reject the standard interpretation of General Relativity, in which geometry determines gravity. 8. Contemporary physics undermines an objection to discrete aether based on scale invariance, but does not offer much positive support.

**📒General Relativity ✍ Robert Geroch**

**General Relativity**

✏Author :

**Robert Geroch**

✏Publisher :

**Minkowski Institute Press**

✏Release Date :

**2013-02-25**

✏Pages :

**194**

✏ISBN :

**9780987987181**

✏Available Language :

**English, Spanish, And French**

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**✏General Relativity Book Summary :** Robert Geroch's lecture notes on general relativity are unique in three main respects. First, the physics of general relativity and the mathematics, which describes it, are masterfully intertwined in such a way that both reinforce each other to facilitate the understanding of the most abstract and subtle issues. Second, the physical phenomena are first properly explained in terms of spacetime and then it is shown how they can be “decomposed” into familiar quantities, expressed in terms of space and time, which are measured by an observer. Third, Geroch's successful pedagogical approach to teaching theoretical physics through visualization of even the most abstract concepts is fully applied in his lectures on general relativity by the use of around a hundred figures. Although the book contains lecture notes written in 1972, it is (and will remain) an excellent introduction to general relativity, which covers its physical foundations, its mathematical formalism, the classical tests of its predictions, its application to cosmology, a number of specific and important issues (such as the initial value formulation of general relativity, signal propagation, time orientation, causality violation, singularity theorems, conformal transformations, and asymptotic structure of spacetime), and the early approaches to quantization of the gravitational field. Geroch's Differential Geometry: 1972 Lecture Notes can serve as a very helpful companion to this book.

**📒Reflections On Quanta Symmetries And Supersymmetries ✍ V.S. Varadarajan**

**Reflections on Quanta Symmetries and Supersymmetries**

✏Author :

**V.S. Varadarajan**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2011-05-20**

✏Pages :

**236**

✏ISBN :

**9781441906670**

✏Available Language :

**English, Spanish, And French**

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**✏Reflections on Quanta Symmetries and Supersymmetries Book Summary :** This is a collection of essays based on lectures that author has given on various occasions on foundation of quantum theory, symmetries and representation theory, and the quantum theory of the superworld created by physicists. The lectures are linked by a unifying theme: how the quantum world and superworld appear under the lens of symmetry and supersymmetry. In the world of ultra-small times and distances such as the Planck length and Planck time, physicists believe no measurements are possible and so the structure of spacetime itself is an unknown that has to be first understood. There have been suggestions (Volovich hypothesis) that world geometry at such energy regimes is non-archimedian and some of the lectures explore the consequences of such a hypothesis. Ultimately, symmetries and supersymmetries are described by the representation of groups and supergroups. The author's interest in representation is a lifelong one and evolved slowly, and owes a great deal to conversations and discussions he had with George Mackey and Harish-Chandra. The book concludes with a retrospective look at these conversations.

**Mathematical Physics**

✏Author :

✏Publisher :

✏Release Date :

✏Pages :

✏ISBN :

**9789814475747**

✏Available Language :

**English, Spanish, And French**

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**✏Mathematical Physics Book Summary :**

**📒Symmetry And Structural Properties Of Condensed Matter ✍ Tadeusz Lulek**

**Symmetry and Structural Properties of Condensed Matter**

✏Author :

**Tadeusz Lulek**

✏Publisher :

**World Scientific**

✏Release Date :

**2001**

✏Pages :

**471**

✏ISBN :

**9810245696**

✏Available Language :

**English, Spanish, And French**

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**✏Symmetry and Structural Properties of Condensed Matter Book Summary :** This volume continues the series of proceedings of summer schools on theoretical physics related to various aspects of the structure of condensed matter, and to appropriate mathematical methods for an adequate description. Three main topics are covered: (i) symmetric and unitary groups versus electron correlations in multicentre systems; (ii) conformal symmetries, the Bethe ansatz and quantum groups; (iii) paradoxes of statistics, space-time, and time quantum mechanics. Problems considered in previous schools are merged with some new developments, like statistics with continuous Young diagrams, the existence and structure of energy bands in solids with fullerenes, membranes and some coverings of graphite sheets, or vortex condensates with quantum counterparts of Maxwell lows.

**📒Correspondence Invariance And Heuristics ✍ S. French**

**Correspondence Invariance and Heuristics**

✏Author :

**S. French**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2013-03-09**

✏Pages :

**364**

✏ISBN :

**9789401711852**

✏Available Language :

**English, Spanish, And French**

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**✏Correspondence Invariance and Heuristics Book Summary :** This volume is presented in honour of Heinz Post, who founded a distinc tive and distinguished school of philosophy of science at Chelsea College, University of London. The 'Chelsea tradition' in philosophy of science takes the content of science seriously, as exemplified by the papers presented here. The unifying theme of this work is that of 'Correspondence, Invariance and Heuristics', after the title of a classic and seminal paper by Heinz Post, published in 1971, which is reproduced in this volume with the kind permission of the editors and publishers of Studies in History and Philosophy of Science. Described by Paul Feyerabend in Against Method as "brilliant" and " . . . a partial antidote against the view which I try to defend" (1975, p. 61, fn. 17), this paper, peppered with illustrative examples from the history of science, brings to the fore some of Heinz Post's central concerns: the heuristic criteria used by scientists in constructing their theories, the intertheoretic relationships which these criteria reflect and, in particular, the nature of the correspondence that holds between a theory and its predecessors (and its suc cessors). The appearance of this volume more than twenty years later is an indica tion of the fruitfulness of Post's contribution: philosophers of science continue to explore the issues raised in his 1971 paper.

**📒Springer Handbook Of Spacetime ✍ Abhay Ashtekar**

**Springer Handbook of Spacetime**

✏Author :

**Abhay Ashtekar**

✏Publisher :

**Springer**

✏Release Date :

**2014-09-01**

✏Pages :

**950**

✏ISBN :

**9783642419928**

✏Available Language :

**English, Spanish, And French**

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**✏Springer Handbook of Spacetime Book Summary :** The Springer Handbook of Spacetime is dedicated to the ground-breaking paradigm shifts embodied in the two relativity theories, and describes in detail the profound reshaping of physical sciences they ushered in. It includes in a single volume chapters on foundations, on the underlying mathematics, on physical and astrophysical implications, experimental evidence and cosmological predictions, as well as chapters on efforts to unify general relativity and quantum physics. The Handbook can be used as a desk reference by researchers in a wide variety of fields, not only by specialists in relativity but also by researchers in related areas that either grew out of, or are deeply influenced by, the two relativity theories: cosmology, astronomy and astrophysics, high energy physics, quantum field theory, mathematics, and philosophy of science. It should also serve as a valuable resource for graduate students and young researchers entering these areas, and for instructors who teach courses on these subjects. The Handbook is divided into six parts. Part A: Introduction to Spacetime Structure. Part B: Foundational Issues. Part C: Spacetime Structure and Mathematics. Part D: Confronting Relativity theories with observations. Part E: General relativity and the universe. Part F: Spacetime beyond Einstein.