Author : Hawking, Stephen W. Hawking
Publisher :
Page : 1064 pages
File Size : 25,12 MB
Release : 2010
Category : Black holes (Astronomy)
ISBN : 9780521138017
Author : Eric Baird
Publisher : Chocolate Tree Books
Page : 396 pages
File Size : 41,85 MB
Release : 2007
Category : Science
ISBN : 0955706807
Relativity theory has become one of the icons of Twentieth Century science. It's reckoned to be a difficult subject, taught as a layered series of increasingly difficult mathematics and increasingly abstract concepts. We're told that relativity theory is supposed to be this complicated and counter-intuitive. But how much of this historical complexity is really necessary? Can we bypass the interpretations and paradoxes and pseudoparadoxes of Einstein's special theory and jump directly to a deeper and more intuitive description of reality? What if curvature is a fundamental part of physics, and a final theory of relativity shouldn't reduce to Einstein's "flat" 1905 theory //on principle//? "Relativity..." takes us on a whistlestop tour of Twentieth Century physics - from black holes, quantum mechanics, wormholes and the Big Bang to the workings of the human mind, and asks: what would physics look like without special relativity? 394 printed pages, 234156 mm, 200 figures and illustrations, includes bibliography and index www.relativitybook.com
Author : John C Baez
Publisher : World Scientific Publishing Company
Page : 481 pages
File Size : 50,33 MB
Release : 1994-10-24
Category : Science
ISBN : 9813103248
This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.
Author : Sergio Cecotti
Publisher : Springer Nature
Page : 846 pages
File Size : 50,16 MB
Release : 2023-11-07
Category : Science
ISBN : 3031365305
Graduate students typically enter into courses on string theory having little to no familiarity with the mathematical background so crucial to the discipline. As such, this book, based on lecture notes, edited and expanded, from the graduate course taught by the author at SISSA and BIMSA, places particular emphasis on said mathematical background. The target audience for the book includes students of both theoretical physics and mathematics. This explains the book’s "strange" style: on the one hand, it is highly didactic and explicit, with a host of examples for the physicists, but, in addition, there are also almost 100 separate technical boxes, appendices, and starred sections, in which matters discussed in the main text are put into a broader mathematical perspective, while deeper and more rigorous points of view (particularly those from the modern era) are presented. The boxes also serve to further shore up the reader’s understanding of the underlying math. In writing this book, the author’s goal was not to achieve any sort of definitive conciseness, opting instead for clarity and "completeness". To this end, several arguments are presented more than once from different viewpoints and in varying contexts.
Author : Abhay Ashtekar
Publisher : Springer
Page : 883 pages
File Size : 45,99 MB
Release : 2014-09-01
Category : Science
ISBN : 3642419925
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.
Author :
Publisher :
Page : 1870 pages
File Size : 12,91 MB
Release : 1981-06
Category : Canada
ISBN :
Author : Michael Heller
Publisher : Springer Science & Business Media
Page : 213 pages
File Size : 36,99 MB
Release : 2009-11-12
Category : Science
ISBN : 3642021034
We humans are collectively driven by a powerful - yet not fully explained - instinct to understand. We would like to see everything established, proven, laid bare. The more important an issue, the more we desire to see it clarified, stripped of all secrets, all shades of gray. What could be more important than to understand the Universe and ourselves as a part of it? To find a window onto our origin and our destiny? This book examines how far our modern cosmological theories - with their sometimes audacious models, such as inflation, cyclic histories, quantum creation, parallel universes - can take us towards answering these questions. Can such theories lead us to ultimate truths, leaving nothing unexplained? Last, but not least, Heller addresses the thorny problem of why and whether we should expect to find theories with all-encompassing explicative power.
Author : Robert M. Wald
Publisher : University of Chicago Press
Page : 300 pages
File Size : 42,45 MB
Release : 1998
Category : Science
ISBN : 9780226870359
A comprehensive summary of progress made during the past decade on the theory of black holes and relativistic stars, this collection includes discussion of structure and oscillations of relativistic stars, the use of gravitational radiation detectors, observational evidence for black holes, cosmic censorship, numerical work related to black hole collisions, the internal structure of black holes, black hole thermodynamics, information loss and other issues related to the quantum properties of black holes, and recent developments in the theory of black holes in the context of string theory. Volume contributors: Valeria Ferrari, John L. Friedman, James B. Hartle, Stephen W. Hawking, Gary T. Horowitz, Werner Israel, Roger Penrose, Martin J. Rees, Rafael D. Sorkin, Saul A. Teukolsky, Kip S. Thorne, and Robert M. Wald.
Author : V. de Sabbata
Publisher : Springer Science & Business Media
Page : 429 pages
File Size : 27,27 MB
Release : 2012-12-06
Category : Science
ISBN : 9401124205
In these last years Black hole Physics has developed rapidly both from theoretical and observational aspects: especially as regards quantum aspects many things must be clarified as for instance the processes occuring near mini black holes with spontaneous creation of particles that eventually lead to the evaporation of black hole. In these last stages probably a connection with string theory will appears. This field of research was subject of the NATO Adavanced study Institute on "Black Hole Physics" which was held at the Ettore Majorana Center for Scientific Culture in Erice (Sicily, th Italy) from May 12th through May 22 , 1991. It was at the same time the 12th Course of the International School of Cosmology and Gravitation. During this 12th Course, after recalling the starting point that is the concept of black hole in Newton theory, the lectures are gone through classical, quantum, cosmological and astrophysical aspects. Of course in order to understand fully the behaviour of these objects one is faced with a large number of broad areas related to different branches of physics. In fact have been widely treated not only classical aspects, thermodynamics, entropy, internal dynamics, cosmology, inflation and astrophysics but quantum behaviour involving creation of particles, Hawking rad iation, until the modern theory of strings and superstrings that claims the unification of all interactions. So the physics involved and discussed in the various lectures goes from cosmology and very early universe to that of elementary particles including neutrino physics.
Author : Eric Poisson
Publisher : Cambridge University Press
Page : 253 pages
File Size : 49,51 MB
Release : 2004-05-06
Category : Science
ISBN : 1139451995
This 2004 textbook fills a gap in the literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities. The context is provided by the mathematical theory of black holes, one of the most elegant, successful, and relevant applications of general relativity. Among the topics discussed are congruencies of timelike and null geodesics, the embedding of spacelike, timelike and null hypersurfaces in spacetime, and the Lagrangian and Hamiltonian formulations of general relativity. Although the book is self-contained, it is not meant to serve as an introduction to general relativity. Instead, it is meant to help the reader acquire advanced skills and become a competent researcher in relativity and gravitational physics. The primary readership consists of graduate students in gravitational physics. It will also be a useful reference for more seasoned researchers working in this field.
