The Quantum Structure of Space and Time

The Quantum Structure of Space and Time PDF Author: David Gross
Publisher: World Scientific
ISBN: 9812706763
Category : Science
Languages : en
Pages : 295

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Book Description
Ever since 1911, the Solvay Conferences have shaped modern physics. The 23rd edition, chaired by 2004 Nobel Laureate David Gross, did not break with that tradition. It gathered most of the leading figures working on the central problem of reconciling EinsteinOCOs theory of gravity with quantum mechanics. These proceedings give a broad overview with unique insight into the most fundamental issues raised by this challenge for 21st century physics, by distinguished renowned scientists. The contributions cover: the status of quantum mechanics, spacetime singularities and breakdown of classical space and time, mathematical structures underlying the most promising attempts under current development, spacetime as an emergent concept, as well as cosmology and the cosmological constant puzzle. A historical overview of the Solvay conferences by historian of sciences Peter Galison opens the volume. In the Solvay tradition, the volume also includes the discussions among the participants OCo many of which were quite lively and illustrate dramatically divergent points of view OCo carefully edited and reproduced in full."

The Quantum Structure of Space and Time

The Quantum Structure of Space and Time PDF Author: David Gross
Publisher: World Scientific
ISBN: 9812706763
Category : Science
Languages : en
Pages : 295

Get Book Here

Book Description
Ever since 1911, the Solvay Conferences have shaped modern physics. The 23rd edition, chaired by 2004 Nobel Laureate David Gross, did not break with that tradition. It gathered most of the leading figures working on the central problem of reconciling EinsteinOCOs theory of gravity with quantum mechanics. These proceedings give a broad overview with unique insight into the most fundamental issues raised by this challenge for 21st century physics, by distinguished renowned scientists. The contributions cover: the status of quantum mechanics, spacetime singularities and breakdown of classical space and time, mathematical structures underlying the most promising attempts under current development, spacetime as an emergent concept, as well as cosmology and the cosmological constant puzzle. A historical overview of the Solvay conferences by historian of sciences Peter Galison opens the volume. In the Solvay tradition, the volume also includes the discussions among the participants OCo many of which were quite lively and illustrate dramatically divergent points of view OCo carefully edited and reproduced in full."

Quantum Space

Quantum Space PDF Author: Jim Baggott
Publisher: Oxford University Press
ISBN: 019253680X
Category : Science
Languages : en
Pages : 448

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Book Description
Today we are blessed with two extraordinarily successful theories of physics. The first is Albert Einstein's general theory of relativity, which describes the large-scale behaviour of matter in a curved spacetime. This theory is the basis for the standard model of big bang cosmology. The discovery of gravitational waves at the LIGO observatory in the US (and then Virgo, in Italy) is only the most recent of this theory's many triumphs. The second is quantum mechanics. This theory describes the properties and behaviour of matter and radiation at their smallest scales. It is the basis for the standard model of particle physics, which builds up all the visible constituents of the universe out of collections of quarks, electrons and force-carrying particles such as photons. The discovery of the Higgs boson at CERN in Geneva is only the most recent of this theory's many triumphs. But, while they are both highly successful, these two structures leave a lot of important questions unanswered. They are also based on two different interpretations of space and time, and are therefore fundamentally incompatible. We have two descriptions but, as far as we know, we've only ever had one universe. What we need is a quantum theory of gravity. Approaches to formulating such a theory have primarily followed two paths. One leads to String Theory, which has for long been fashionable, and about which much has been written. But String Theory has become mired in problems. In this book, Jim Baggott describes

Quantum Structure Of Space And Time, The - Proceedings Of The 23rd Solvay Conference On Physics

Quantum Structure Of Space And Time, The - Proceedings Of The 23rd Solvay Conference On Physics PDF Author: Marc Henneaux
Publisher: World Scientific
ISBN: 9814477273
Category : Science
Languages : en
Pages : 295

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Book Description
Ever since 1911, the Solvay Conferences have shaped modern physics. The 23rd edition, chaired by 2004 Nobel Laureate David Gross, did not break with that tradition. It gathered most of the leading figures working on the central problem of reconciling Einstein's theory of gravity with quantum mechanics.These proceedings give a broad overview with unique insight into the most fundamental issues raised by this challenge for 21st century physics, by distinguished renowned scientists. The contributions cover: the status of quantum mechanics, spacetime singularities and breakdown of classical space and time, mathematical structures underlying the most promising attempts under current development, spacetime as an emergent concept, as well as cosmology and the cosmological constant puzzle. A historical overview of the Solvay conferences by historian of sciences Peter Galison opens the volume.In the Solvay tradition, the volume also includes the discussions among the participants — many of which were quite lively and illustrate dramatically divergent points of view — carefully edited and reproduced in full.

Quantum Structure of Space and Time

Quantum Structure of Space and Time PDF Author: M. J. Duff
Publisher: Cambridge University Press
ISBN: 1107404584
Category : Science
Languages : en
Pages : 449

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Book Description
This 1982 book contains selected contributions presented at the Nuffield Quantum Gravity Workshop held at Imperial College, London, in August 1981.

The Emergence of Spacetime in String Theory

The Emergence of Spacetime in String Theory PDF Author: Tiziana Vistarini
Publisher: Routledge
ISBN: 1134842406
Category : Philosophy
Languages : en
Pages : 224

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Book Description
The nature of space and time is one of the most fascinating and fundamental philosophical issues which presently engages at the deepest level with physics. During the last thirty years this notion has been object of an intense critical review in the light of new scientific theories which try to combine the principles of both general relativity and quantum theory—called theories of quantum gravity. This book considers the way string theory shapes its own account of spacetime disappearance from the fundamental level.

The Large Scale Structure of Space-Time

The Large Scale Structure of Space-Time PDF Author: S. W. Hawking
Publisher: Cambridge University Press
ISBN: 1139810952
Category : Science
Languages : en
Pages : 406

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Book Description
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.

Philosophy of Physics

Philosophy of Physics PDF Author: Tim Maudlin
Publisher: Princeton University Press
ISBN: 0691165718
Category : Philosophy
Languages : en
Pages : 199

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Book Description
Philosophical foundations of the physics of space-time This concise book introduces nonphysicists to the core philosophical issues surrounding the nature and structure of space and time, and is also an ideal resource for physicists interested in the conceptual foundations of space-time theory. Tim Maudlin's broad historical overview examines Aristotelian and Newtonian accounts of space and time, and traces how Galileo's conceptions of relativity and space-time led to Einstein's special and general theories of relativity. Maudlin explains special relativity with enough detail to solve concrete physical problems while presenting general relativity in more qualitative terms. Additional topics include the Twins Paradox, the physical aspects of the Lorentz-FitzGerald contraction, the constancy of the speed of light, time travel, the direction of time, and more. Introduces nonphysicists to the philosophical foundations of space-time theory Provides a broad historical overview, from Aristotle to Einstein Explains special relativity geometrically, emphasizing the intrinsic structure of space-time Covers the Twins Paradox, Galilean relativity, time travel, and more Requires only basic algebra and no formal knowledge of physics

Quantum Space

Quantum Space PDF Author: J. E. Baggott
Publisher:
ISBN: 0198809115
Category : Science
Languages : en
Pages : 448

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Book Description
The greatest challenge for physics is to combine its two most successful theories: general relativity and quantum mechanics. The resulting quantum theory of gravity would explain the universe across all scales. Much has been said about the approach based on string theory. Here, Jim Baggott describes its powerful rival: Loop Quantum Gravity.

Quantum Structure of Space and Time

Quantum Structure of Space and Time PDF Author: M. J. Duff
Publisher: CUP Archive
ISBN: 9780521247320
Category : Science
Languages : en
Pages : 456

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Book Description
This book was first published in 1982. It consists of selected contributions presented at the Nuffield Quantum Gravity Workshop held at Imperial College, London, in August 1981. The book is divided into three parts which correspond with the three separate themes pursued at the workshop. Part I is concerned with the geometrical and topological aspects of quantum gravity. Part II focuses on supergravity and its application to the Grand Unified Theories of elementary particles. Part III concentrates on the early universe and cosmology. The book, therefore, covers not only supergravity, but the whole spectrum of quantum gravity research.

Space-Time Algebra

Space-Time Algebra PDF Author: David Hestenes
Publisher: Birkhäuser
ISBN: 331918413X
Category : Mathematics
Languages : en
Pages : 122

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Book Description
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