Twistor Geometry and Field Theory

Twistor Geometry and Field Theory PDF Author: R. S. Ward
Publisher: Cambridge University Press
ISBN: 9780521422680
Category : Mathematics
Languages : en
Pages : 534

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Book Description
Deals with the twistor treatment of certain linear and non-linear partial differential equations. The description in terms of twistors involves algebraic and differential geometry, and several complex variables.

Twistors in Mathematics and Physics

Twistors in Mathematics and Physics PDF Author: T. N. Bailey
Publisher: Cambridge University Press
ISBN: 0521397839
Category : Mathematics
Languages : en
Pages : 395

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Book Description
This 1990 collection of review articles covers the considerable progress made in a wide range of applications of twistor theory.

Not Even Wrong

Not Even Wrong PDF Author: Peter Woit
Publisher: Basic Books
ISBN: 046500363X
Category : Science
Languages : en
Pages : 336

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Book Description
At what point does theory depart the realm of testable hypothesis and come to resemble something like aesthetic speculation, or even theology? The legendary physicist Wolfgang Pauli had a phrase for such ideas: He would describe them as "not even wrong," meaning that they were so incomplete that they could not even be used to make predictions to compare with observations to see whether they were wrong or not. In Peter Woit's view, superstring theory is just such an idea. In Not Even Wrong , he shows that what many physicists call superstring "theory" is not a theory at all. It makes no predictions, even wrong ones, and this very lack of falsifiability is what has allowed the subject to survive and flourish. Not Even Wrong explains why the mathematical conditions for progress in physics are entirely absent from superstring theory today and shows that judgments about scientific statements, which should be based on the logical consistency of argument and experimental evidence, are instead based on the eminence of those claiming to know the truth. In the face of many books from enthusiasts for string theory, this book presents the other side of the story.

An Introduction to Twistor Theory

An Introduction to Twistor Theory PDF Author: S. A. Huggett
Publisher: Cambridge University Press
ISBN: 9780521456890
Category : Mathematics
Languages : en
Pages : 196

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Book Description
Evolving from graduate lectures given in London and Oxford, this introduction to twistor theory and modern geometrical approaches to space-time structure will provide graduate students with the basics of twistor theory, presupposing some knowledge of special relativity and differenttial geometry.

Solitons, Instantons, and Twistors

Solitons, Instantons, and Twistors PDF Author: Maciej Dunajski
Publisher: Oxford University Press, USA
ISBN: 0198570627
Category : Language Arts & Disciplines
Languages : en
Pages : 374

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Book Description
A text aimed at third year undergraduates and graduates in mathematics and physics, presenting elementary twistor theory as a universal technique for solving differential equations in applied mathematics and theoretical physics.

Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry

Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry PDF Author: Roger Penrose
Publisher: Cambridge University Press
ISBN: 9780521347860
Category : Mathematics
Languages : en
Pages : 516

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Book Description
In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant methods may be used to elucidate the structure and properties of space-time. In volume 1, Two-spinor calculus and relativistic fields, the calculus of 2-spinors is introduced and developed. Volume 2, Spinor and twistor methods in space-time geometry, introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. This work will be of great value to all those studying relativity, differential geometry, particle physics and quantum field theory from beginning graduate students to experts in these fields.

Twistor Theory

Twistor Theory PDF Author: Stephen Huggett
Publisher: CRC Press
ISBN: 9780824793210
Category : Science
Languages : en
Pages : 290

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Book Description
Presents the proceedings of the recently held conference at the University of Plymouth. Papers describe recent work by leading researchers in twistor theory and cover a wide range of subjects, including conformal invariants, integral transforms, Einstein equations, anti-self-dual Riemannian 4-manifolds, deformation theory, 4-dimensional conformal structures, and more.;The book is intended for complex geometers and analysts, theoretical physicists, and graduate students in complex analysis, complex differential geometry, and mathematical physics.

The Road to Reality

The Road to Reality PDF Author: Roger Penrose
Publisher: Vintage
ISBN: 0593315308
Category : Science
Languages : en
Pages : 1136

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Book Description
**WINNER OF THE 2020 NOBEL PRIZE IN PHYSICS** The Road to Reality is the most important and ambitious work of science for a generation. It provides nothing less than a comprehensive account of the physical universe and the essentials of its underlying mathematical theory. It assumes no particular specialist knowledge on the part of the reader, so that, for example, the early chapters give us the vital mathematical background to the physical theories explored later in the book. Roger Penrose's purpose is to describe as clearly as possible our present understanding of the universe and to convey a feeling for its deep beauty and philosophical implications, as well as its intricate logical interconnections. The Road to Reality is rarely less than challenging, but the book is leavened by vivid descriptive passages, as well as hundreds of hand-drawn diagrams. In a single work of colossal scope one of the world's greatest scientists has given us a complete and unrivalled guide to the glories of the universe that we all inhabit. 'Roger Penrose is the most important physicist to work in relativity theory except for Einstein. He is one of the very few people I've met in my life who, without reservation, I call a genius' Lee Smolin

Cycles of Time

Cycles of Time PDF Author: Roger Penrose
Publisher: Vintage
ISBN: 0307596745
Category : Science
Languages : en
Pages : 307

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Book Description
From Nobel prize-winner Roger Penrose, this groundbreaking book is for anyone "who is interested in the world, how it works, and how it got here" (New York Journal of Books). Penrose presents a new perspective on three of cosmology’s essential questions: What came before the Big Bang? What is the source of order in our universe? And what cosmic future awaits us? He shows how the expected fate of our ever-accelerating and expanding universe—heat death or ultimate entropy—can actually be reinterpreted as the conditions that will begin a new “Big Bang.” He details the basic principles beneath our universe, explaining various standard and non-standard cosmological models, the fundamental role of the cosmic microwave background, the paramount significance of black holes, and other basic building blocks of contemporary physics. Intellectually thrilling and widely accessible, Cycles of Time is a welcome new contribution to our understanding of the universe from one of our greatest mathematicians and thinkers.

The Penrose Transform

The Penrose Transform PDF Author: Robert J. Baston
Publisher: Courier Dover Publications
ISBN: 0486816621
Category : Mathematics
Languages : en
Pages : 257

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Book Description
Geared toward students of physics and mathematics; presupposes no familiarity with twistor theory. "A huge amount of information, well organized and condensed into less than 200 pages." — Mathematical Reviews. 1989 edition.