The Mechanical Universe: Introduction to Mechanics and Heat
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    The Mechanical Universe: Introduction to Mechanics and Heat
    Richard P. Olenick , Tom M. Apostol , and David L. Goodstein
    Manufacturer: Cambridge University Press
    ProductGroup: Book
    Binding: Hardcover

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    1. Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra (Second Edition) Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra (Second Edition)
    2. Conceptual Physics Conceptual Physics

    ASIN: 0521304296

    Book Description

    This important textbook is based on, though independent of, an educational TV series to be broadcast on public television in the United States. Its aim is to guide students and general readers to an understanding of how the physical world works; physics is presented as a human endeavour, with historical development forming a thread throughout the text. The prerequisites are minimal, only basic algebra and trigonometry since the necessary calculus is developed in the text, with physics providing the motivation. New concepts are introduced at the natural, logical point with many historical references to place physics in a social perspective. Many topics from twentieth-century physics are included, for example energy, low temperature physics, relativity and black holes. The book is attractively and profusely illustrated and will be welcomed by students and also by general readers for whom this will be a stimulating alternative to other, less-thorough treatments.
    Introduction to Modern Astrophysics, An (2nd Edition)
    Average customer rating: 5 out of 5 stars
    • Introduction to Modern Astrophysics, An (2nd Edition)
    • The long awaited new edition of BOB (Big Orange Book)
    Introduction to Modern Astrophysics, An (2nd Edition)
    Bradley W. Carroll , and Dale A. Ostlie
    Manufacturer: Benjamin Cummings
    ProductGroup: Book
    Binding: Hardcover

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    ASIN: 0805304029

    Book Description

    An Introduction to Modern Astrophysics, Second Edition has been thoroughly revised to reflect the dramatic changes and advancements in astrophysics that have occurred over the past decade. The Second Edition of this market-leading book has been updated to include the latest results from relevant fields of astrophysics and advances in our theoretical understanding of astrophysical phenomena. The Tools of Astronomy: The Celestial Sphere, Celestial Mechanics, The Continuous Spectrum of Light, The Theory of Special Relativity, The Interaction of Light and Matter, Telescopes; The Nature of Stars: Binary Systems and Stellar Parameters, The Classification of Stellar Spectra, Stellar Atmospheres, The Interiors of Stars, The Sun, The Process of Star Formation, Post-Main-Sequence Stellar Evolution, Stellar Pulsation, Supernovae, The Degenerate Remnants of Stars, Black Holes, Close Binary Star Systems; Planetary Systems: Physical Processes in the Solar System, The Terrestrial Planets, The Jovian Worlds, Minor Bodies of the Solar System, The Formation of Planetary Systems; Galaxies and the Universe: The Milky Way Galaxy, The Nature of Galaxies, Galactic Evolution, The Structure of the Universe, Active Galaxies, Cosmology, The Early Universe; Astronomical and Physical Constants, Unit Conversions Between SI and cgs, Solar System Data, The Constellations, The Brightest Stars, The Nearest Stars, Stellar Data, The Messier Catalog, Constants, A Constants Module for Fortran 95 (Available as a C++ header file), Orbits, A Planetary Orbit Code (Available as Fortran 95 and C++ command line versions, and Windows GUI), TwoStars, A Binary Star Code (Generates synthetic light and radial velocity curves; available as Fortran 95 and C++ command line versions, and Windows GUI), StatStar, A Stellar Structure Code (Available as Fortran 95 and C++ command line versions, and Windows GUI), StatStar, Stellar Models, Galaxy, A Tidal Interaction Code (Available as Java), WMAP Data. For all readers interested in moden astrophysics.

    Customer Reviews:

    5 out of 5 stars Introduction to Modern Astrophysics, An (2nd Edition).......2007-06-03

    Best Astrophysics for Undergraduate Course ! All Chapters fully explained with a lot of drills and updated with latest development on the field. Jose Quintero

    5 out of 5 stars The long awaited new edition of BOB (Big Orange Book).......2006-12-09

    The number of books suitable for undergraduate courses in Astrophysics is not great. But of them all, this, called BOB (Big Orange Book) is the best.

    This new second edition, badly needed since the first edition is now ten years old. In these ten years, there seems to have been just about as much discovered as in the centuries before. To list just a few: extrasolar planets, objects bigger than Pluto but further out (but the book was finished before the IAU decided to downgrade Pluto from being a planet), Spirit and Opportunity have been roving on Mars, discoveries like the universe is not slowing down but, rather, is actually accelerating, Dark energy wasn't even imagined at that time (and isn't easy to imagine now).

    The book is aimed at the advanced undergraduate level after the student has had several previous physics classes and mathematics through differential equasions.

    The one problem most often reported about BOB is its size, 1400 pages. This allows for a series of different courses to be taught using the same book by selecting appropriate chapters. Alternatively a full year course can be taught to cover most of the book.
    Introduction to Space Physics (Cambridge Atmospheric & Space Science)
    Average customer rating: 4.5 out of 5 stars
    • Space Physics? OH YEAH!
    • Introduction to Space Physics
    Introduction to Space Physics (Cambridge Atmospheric & Space Science)

    Manufacturer: Cambridge University Press
    ProductGroup: Book
    Binding: Paperback

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    1. Introduction to Plasma Physics: With Space and Laboratory Applications Introduction to Plasma Physics: With Space and Laboratory Applications
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    5. The Solar-Terrestrial Environment: An Introduction to Geospace - the Science of the Terrestrial Upper Atmosphere, Ionosphere, and Magnetosphere (Cambridge Atmospheric and Space Science Series) The Solar-Terrestrial Environment: An Introduction to Geospace - the Science of the Terrestrial Upper Atmosphere, Ionosphere, and Magnetosphere (Cambridge Atmospheric and Space Science Series)

    ASIN: 0521457149

    Book Description

    Designed as a text for upper-level undergraduate and first-year graduate students, this volume attempts to establish the curriculum for the modern student entering the fledgling field of space physics. The book provides a broad, yet selective, treatment of the subject, covering virtually all aspects of space plasmas in the solar system. There are sections on the sun and solar wind, the magnetized and unmagnetized planets, and the fundamental process of space plasmas including shocks, plasma waves, ULF waves, wave-particle interactions, and auroral processes. In addition to emphasizing analysis, the authors also place importance on underlying phenomenology with extensive attention to observations.

    Customer Reviews:

    5 out of 5 stars Space Physics? OH YEAH!.......2007-02-24

    When I'm in the mood for a little exploration of stellar structure or maybe some light magnetohydrodynamics, this is the first thing I grab off the shelf. It's kept me interested and not at all wanting to gouge my eyeballs out for weeks!

    4 out of 5 stars Introduction to Space Physics.......2000-05-02

    This is a very comprehensive book. It is excellent if you are beginer who knows basic electricity and magnetism, but have not dealt with space plasmas.
    Relativity: An introduction to space-time physics
    Average customer rating: 5 out of 5 stars
    • An excellent introduction to Relativity
    Relativity: An introduction to space-time physics
    Steve Adams
    Manufacturer: CRC
    ProductGroup: Book
    Binding: Paperback

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    ASIN: 0748406212

    Book Description

    Provides the essential principles and results of special relativity as required by undergraduates. The text uses a geometric interpretation of space-time so that a general theory is seen as a natural extension of the special theory. Although most results are derived from first principles, complex and distracting mathematics is avoided and all mathematical steps and formulae are fully explained and interpreted, often with explanatory diagrams.; The emphasis throughout the text is on understanding the physics of relativity. The structure of the book is designed to allow students of different courses to choose their own route through the short self-contained sections in each chapter. The latter part of the book shows how Einstein's theory of gravity is central to unraveling fundamental questions of cosmology.

    Customer Reviews:

    5 out of 5 stars An excellent introduction to Relativity.......2003-05-21

    If you are a ambitious highshool student or a physics freshman this is the best place to get started on special realtivity.
    It is far less mathematically demanding then many books out there and clear on physical concepts.
    (ch.1) Good review of classical ideas.
    (ch.2) Need for special relativity, good explanations of
    galaian and lorentz transformation, and uses of the latter.
    (ch.3) Good introductions to spacetime geometry (the invariant
    interval) and relativistic mechanics.

    (ch.4) Good introduction to basis of general relativity and cosmmology.

    One of the great things about the book is that it takes the common 'popular' accounts one step further by intoducing physics in precise languge and formulas. So that you can apply your knowldege to actully solve some problems and gain further understanding. There are problems at end of each chapter and they are (mostly) supplemented by answers in an appendix.

    One thing that is left out completely is relativistic electrodynamics, of course that's only sutibale for a more advanced book. I would've liked to see the power of four vectors utilized more and see the role of tensors.
    An Introduction to Modern Astrophysics
    Average customer rating: 4 out of 5 stars
    • Highly recommended
    • Too difficult for the average reader
    • An introduction to modern astrophysics
    • Very difficult to teach from
    • Excellent and encyclopedic
    An Introduction to Modern Astrophysics
    Bradley W. Carroll , and Dale A. Ostlie
    Manufacturer: Benjamin Cummings
    ProductGroup: Book
    Binding: Hardcover

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    1. Galactic Dynamics (Princeton Series in Astrophysics) Galactic Dynamics (Princeton Series in Astrophysics)
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    4. Introduction to Modern Stellar Astrophysics Introduction to Modern Stellar Astrophysics
    5. Introduction to Electrodynamics (3rd Edition) Introduction to Electrodynamics (3rd Edition)

    ASIN: 0201547309

    Customer Reviews:

    4 out of 5 stars Highly recommended.......2007-05-02

    I wanted this book for a long time and got it only when the price was reduced when they released the new version.

    I highly recommend it for any serious astronomer either as a reference or for an advanced undergraduate student.

    1 out of 5 stars Too difficult for the average reader.......2005-08-28

    This book is a bit too professional for anyone who is just starting an astrophysics course.......the provided questions really screw up ur brain.....but if ur sure u have a good solid pure math and advanced physics background then go ahead and buy it otherwise check out other books.....

    5 out of 5 stars An introduction to modern astrophysics.......2004-10-25

    The problems are very challanging, with out an instructor and a good foundation in pure math its nearly impossible for a self learner to solve the end-chapter questions from this book. Im currenlty stuck in many of these problems. If any one happens to have a complete solutions manual, I would give $250.00 for it.
    atoms_101@msn.com

    3 out of 5 stars Very difficult to teach from.......2003-03-03

    After surveying available undergraduate texts in astrophysics and consulting colleagues, I settled on this as the best available despite qualms about its size and cost. My students are finding its size and sheer length overwhelming; we are forced to leave out so much material that they are questioning whether it's worth it. The system of units used (cgs) is becoming (if it is not already) obsolete in most areas of astrophysics. In every chapter there are references to material yet to be covered, requiring one to flip back and forth, often over hundreds of pages. Finally, with a 1996 publication date, much of the material is becoming dated (I know, a new edition will be even more expensive).

    All that said, there are remarkably few errors in the text, figures, and problems for a work of this size. The instructor's solution manual is clear, comprehensive, and generally correct.

    5 out of 5 stars Excellent and encyclopedic.......2000-01-26

    There are very few comprehensive astrophysics text books at the junior/senior level. In trying to find a book which surveys most of the field I found only three possibilities. Two were good (Astrophysical Concepts by Harwitt and Astrophysics by Bowers and Deeming) but this one is EXCELLENT. The level of presentation is mathematically accessible to advanced undergrads in physics, math, comp sci, and engineering while the underlying physics is reviewed before it is applied. The exercises are interesting and complete and include several nice computer based problems in each chapter.

    For a one semester survey class the size and scope of this book will induce heart attacks in your students but the organization and clear layout of the text allows the instructor to select a set of topics which (a) cover a wide range of astrophysical ideas and (b) don't depend strongly on the omitted material.

    Highly recommended.
    Exploring Black Holes: Introduction to General Relativity
    Average customer rating: 5 out of 5 stars
    • A Breakthrough in Undergraduate Texts
    • Good book if you like mathematics!
    • Amazing Introduction to a Very Esoteric Subject
    • Excellent delivery!
    • Gives an intuitive understanding of General Relativity
    Exploring Black Holes: Introduction to General Relativity
    Edwin F. Taylor , and John Archibald Wheeler
    Manufacturer: Benjamin Cummings
    ProductGroup: Book
    Binding: Hardcover

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    ASIN: 020138423X

    Customer Reviews:

    5 out of 5 stars A Breakthrough in Undergraduate Texts.......2007-03-15

    A book I really wouldn't have thought could have been written. There are a lot of books on general relativity at the superficial level, call these books 'mathless.' There are monumental tomes aimed at the graduate student level, call these books 'tensor calculus.' Here is a book exquisitely positioned between these others. The student will need to have had differential calculus, and perhaps a bit of basic physics, and with these he will get a pretty good, introductory understanding of General Relativity.

    The real key to this book is that it explains a lot, but then it open up a bunch of other questions, questions that we really haven't answered yet -- things like dark matter, dark energy, accelerating expansion of the universe, and more.

    The book ends with: 'How can physics live up to its true greatness except by a new revolution in outlook which dwarfs all past revolutions? And when it comes, will we not say to each other, Oh, how beautiful and simple it all is! How could we ever have missed it so long.'

    That's just the awe, the vision, that we want new and budding physicists to have.

    5 out of 5 stars Good book if you like mathematics!.......2007-01-05

    This is the best book about General relativity ( GR ) that I have ever read. Instead of trying to explain GR with words the author is using mathematics to to illustrate some of the consequences of GR. This means that some mathematical knowledge is required ( but not knowledge about tensors and dfferential forms ) and that the reader need to spend some time with paper and pencil to truly understand the text. The examples is concentrated on what is happening around black holes but the advance of Mercury's perihelion and the slowing of light around the Sun is also described. A very good book!

    5 out of 5 stars Amazing Introduction to a Very Esoteric Subject.......2006-06-11

    Einstein's general theory of relativity is perhaps one of the most mathematically intense areas of research any physicist or astronomer could undertake. However this book takes the subject and turns it into a joyous romp through curved spacetime.

    By avoiding the field equations and focusing on their solutions the authors impart to the eager student an overview of general relativity and set the stage for a more rigorous approach to be undertaken later. This book is the perfect introduction to the subject.

    The book is well suited for advanced undergraduates who have had several hours of physics and mathematics. It is likewise suited to serve as a introductory text for graduate students that are studying astrophysics and astronomy. In the latter case the text serves well as an overview of what general relativity is, many of its findings, its predictions, and its relevance to observational astronomy.

    If you have a basic understanding of calculus and have studied the special theory of relativity in some detail then this book is well suited to your needs.

    5 out of 5 stars Excellent delivery!.......2005-09-25

    This book was delivered in immaculate condition and is exactly how I was hoping it would be. Thank you for your product and i hope to do business with you again!

    Sincerely,

    Travis

    5 out of 5 stars Gives an intuitive understanding of General Relativity.......2005-08-18

    This book sidesteps the hard work needed to motivate and develop the Einstein field equations, and goes directly to one of the most important solutions of the equations, the Schwarzschild solution, which gives rise to the concept of a black hole. By exploring what observers in different parts of space-time would experience along their different trajectories (whether falling into a black hole or watching from a safe spot far away), Taylor and Wheeler manage to convey an intuitive understanding for such typical GR "paradoxes" such as the fact that the same "event" (the crossing over of an object through the event horizon) can be seen to take 15 minutes, or forever, depending on who's watching it.

    Because of what it omits, this book is not a complete presentation of GR. It does present the most fun part of GR, however, in a way that is mathematically accessible.

    Along the way, a few side questions are adddressed, like "How painful would it be to be squished/torn apart as I fall into a black hole?" A lot of time is also spent explaining how the weird trajectories of light within the event horizon will transmogrify what is seen by the observer.

    This is a great book and a lot of fun. I am also left with a greater motivation to go back to a more complete presentation, to be convinced that "this is where you have to end up". Although much longer, this book is a worthy successor to the original output of this dynamic duo, "Spacetime Physics".
    Numerical Methods in Astrophysics: An Introduction (Astronomy and Astrophysics)
    Average customer rating: 3 out of 5 stars
    • Extremely good introduction!
    • HUGE disappointment
    Numerical Methods in Astrophysics: An Introduction (Astronomy and Astrophysics)
    Peter Bodenheimer , Gregory P. Laughlin , Michal Rozyczka , and Harold. W Yorke
    Manufacturer: Taylor & Francis
    ProductGroup: Book
    Binding: Hardcover

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    ASIN: 0750308834

    Book Description

    Numerical Methods in Astrophysics: An Introduction outlines various fundamental numerical methods that can solve gravitational dynamics, hydrodynamics, and radiation transport equations. This resource indicates which methods are most suitable for particular problems, demonstrates what the accuracy requirements are in numerical simulations, and suggests ways to test for and reduce the inevitable negative effects. After an introduction to the basic equations and derivations, the book focuses on practical applications of the numerical methods. It explores hydrodynamic problems in one dimension, N-body particle dynamics, smoothed particle hydrodynamics, and stellar structure and evolution. The authors also examine advanced techniques in grid-based hydrodynamics, evaluate the methods for calculating the gravitational forces in an astrophysical system, and discuss specific problems in grid-based methods for radiation transfer. The book incorporates brief user instructions and a CD-ROM of the numerical codes, allowing readers to experiment with the codes to suit their own needs. With numerous examples and sample problems that cover a wide range of current research topics, this highly practical guide illustrates how to solve key astrophysics problems, providing a clear introduction for graduate and undergraduate students as well as researchers and professionals.

    Customer Reviews:

    5 out of 5 stars Extremely good introduction!.......2007-09-22

    This is an extremely well written introduction to a rapidly developing field. The authors cover a broad swath of topics, providing a clear understanding of the physical principles underlying numerical astrophysics. Such a focus on basic principles and physical understanding ensures that one does not lose sight of the forest for the trees. I recommend this book highly for graduate students in astrophysics, as well as active researchers in the field who want a quick overview before going into the details.

    1 out of 5 stars HUGE disappointment.......2007-04-08

    I was really looking forward to this title, hoping in a book that would go beyond the usual toy problems of typical standard numerical simulations books. Also knowing that this book included real working code I was also hoping it would bridge the huge gap between theory and practice with a practical approach. Boy, was I mistaken. hard to believe, but there is not a single line of code in this book! The numerical codes in Fortran (yuk) are just dumped in the CD and superficially described (just barely saying what it does and what the input and output are) in a final 10 pages ( yes, you read that well, 10 pages) "chapter" that looks more like an appendix to anyone with a little common sense. I know college professors can be a bit disoriented about what is important and what not in their field of research (I still my quantum mechanics prof. employed approximately the same time to try to explain us while there are 2n+1 numbers between n and -n and to introduce us to Fourier Transforms) but this is really too much! The bunch of theory and equations that this book is littered is totally useless unless you show me how these equations get implemented in code.
    And if I have to wade through the code in a CD trying to figure it out by myself, what is the value of buying this book? Given this approach , I really pity the grad students of these guys...

    Physics of the Earth's Space Environment: An Introduction
    Average customer rating: Not rated
      Physics of the Earth's Space Environment: An Introduction
      Gerd W. Prölss
      Manufacturer: Springer
      ProductGroup: Book
      Binding: Hardcover

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      ASIN: 3540214267

      Book Description

      This book on the terrestrial space environment is directed at a broad group of students and scientists, who seek knowledge of the methods and results of space research. The only prerequisites are fundamental physics and mathematics as usually acquired in introductory college courses in science or engineering curricula. Stressing physical insight rather than mathematical precision, Physics of the Earth's Space Environment derives further knowledge on selected topics as each phenomenon is considered and strives to present experimental results in conjunction with basic reasoning about the underlying physics. The content's breadth and introductory nature make this an ideal textbook for students in geophysics, meteorology, space sciences and astronomy.

      An Introduction To Black Holes, Information And The String Theory Revolution: The Holographic Universe
      Average customer rating: 3.5 out of 5 stars
      • Wonderful exposé!
      • Not for people with just a curiosity for string theory!
      • Exploring the Holographic Multiverse
      • Easy to understand - very simple, no-nonsense style.
      • Define "Introduction"
      An Introduction To Black Holes, Information And The String Theory Revolution: The Holographic Universe
      Leonard Susskind , and James Lindesay
      Manufacturer: World Scientific Publishing Company
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      Binding: Paperback

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      ASIN: 9812561315

      Book Description

      Over the last decade the physics of black holes has been revolutionized by developments that grew out of Jacob Bekenstein's realization that black holes have entropy. Steven Hawking raised profound issues concerning the loss of information in black hole evaporation and the consistency of quantum mechanics in a world with gravity. For two decades these questions puzzled theoretical physicists and eventually led to a revolution in the way we think about space, time, matter and information. This revolution has culminated in a remarkable principle called "The Holographic Principle", which is now a major focus of attention in gravitational research, quantum field theory and elementary particle physics. Leonard Susskind, one of the co-inventors of the Holographic Principle as well as one of the founders of String theory, develops and explains these concepts.

      Customer Reviews:

      5 out of 5 stars Wonderful exposé!.......2007-03-05

      Indeed, I agree with the previous reviewer: this book is certainly not for laymen, however it is a wonderful exposé of the "holographic universe", i.e. information contained not in volumina of objects but in their surfaces, such as black holes, which are maximum-entropy objects. In order to understand the book, you'll need a BSc in physics or mathematics with a keen interest in physics. Knowledge of Einstein's theory of general relativity might be of use, but not strictly neccesary. It's written nicely, it is up to date, and a pleasure to study.

      1 out of 5 stars Not for people with just a curiosity for string theory!.......2006-04-07

      You will probably need a BA or BS degree in physics for this book to be understandable to you. If you are just curious about string theory then you will be LOST in this book. I have never seen so many physic/math proofs and formulas in my life! It only made me realize how much other people are smarter than myself. Buy Steven Hawking's A Briefer History in Time for a lay person's guide to string theory and other interesting theories if you don't want to spend a gigantic amount of brain power.

      4 out of 5 stars Exploring the Holographic Multiverse.......2005-09-01

      "Black Holes, Information and the String Theory Revolution: The Holographic Universe"

      Lenny and I worked together with Johnny Glogower on quantum phase and time operators at Cornell in 1964 .Lenny's densely mathematical book is not a popular book. It is incomprehensible to the general reader and it is not easy going for the professional theoretical physicist not in the sub-field. However, it has moments of great clarity and if it is wrong, as George Chapline thinks, it is brilliantly wrong. Certainly pieces of Lenny's thesis will survive. So, to really see what the book is about, it's best to read the end of the book first and then go back to the beginning. Lenny emphasizes the key role on nonlocality (e.g. nonlocality of gravity energy?) in black hole complementarity.

      "In order to reconcile the equivalence principle with the rules of quantum mechanics the rules of locality must be massively modified."

      I like the idea of the blackhole as a string since I already published in 1974 the explanation of the Regge slope alpha' (for strings)


      J ~ alpha'E^2

      alpha' ~ (1Gev)^-2

      as rotating Kerr black hole Wheeler "micro with effective strong gravity G* ~ 10^40G in Herbert Frohlich's "Collective Phenomena". Indeed, that's why Abdus Salam invited me to ICTP Trieste, Italy 1973-74 (e.g. contact Jagdish Mehra).

      What will survive is the IR/UV duality. What about LIF/LNIF complementarity? Intriguing. What is completely missing in Lenny's theory is Vacuum ODLRO. For example, Lenny never considers a Bose-Einstein condensate in the vacuum in which there is a macroscopic eigenvalue of the first reduced density matrix. All eigenvalues must be less than 1 in Lenny's theory. Second, Lenny used a positive energy density to derive some of his key results when in fact negative zero point energy density would describe dark matter. Third, Lenny's ADS model has the wrong sign of the actually observed small post-inflation cosmological constant. How fatal this is I do not know yet. Perhaps he analytically continues to the DS model? That is ADS is "dark matter" with negative zero point energy density and positive pressure. DS is "dark energy" with positive zero point energy density and negative pressure. Furthermore, Lenny's equation for p the power of t in the FRW scale factor a(t) ~ t^p breaks down in the most important case, i.e. p -> infinity when w -> -1, which is the case for zero point energy. One nice idea is that the D3 brane of M-theory is the kind of 3+1 space-time we live in with the 6 extra space-time dimensions as "scalar fields". This fits well with Gennady Shipov's torsion field theory extension of 1915 GR. Indeed, if we interpret these scalar fields as vacuum ODLRO Higgs-Goldstone fields associated with the local gauging of the Lorentz group O(1,3) then the vacuum order parameter space is SU(2)xSU(2) consistent with the Hedgehog anomaly centered at Sun seen in the TWO NASA Pioneer Space Probes where a_g = - cH(t). All stars may have this property, i.e. part of stellar formation? Maybe even galaxies have it? That is vacuum ODLRO topological defects as seeds for early galaxy formation explaining galactic halos as well?

      He opens up with the math of black holes in different coordinate representations. But you need to remember (or look up) your high school logarithms and the trigonometry formula for the tangent of the half-angle to show from eqs (1.1.2) to (1.1.4) that a signal from the black hole surface horizon never reaches the distant observers. The Penrose diagram makes that instantly obvious of course.



      Comment 1

      Lenny: "The paradox was discovered by Jacob Bekenstein and turned into a serious crisis by Stephen Hawking. ... Bekenstein realized that if the second law of thermodynamics was not to be violated in the presence of a black hole, the black hole must possess an intrinsic entropy. ... How and why a classical solution of field equations should be endowed with thermodynamical attributes has remained obscure."

      Jack: The black hole is a property of Einstein's vacuum equation

      Ruv = 0

      However, this equation is a c-number emergent field theory from vacuum ODLRO. George Chapline, Jr and I have both arrived at this general idea quite independently. Let the vacuum ODLRO order parameter be

      psi = |psi|e^iargpsi

      suppress internal symmetry indices, but think of SU(2)hypercharge that has a neutral VEV in the standard model (evidence from NASA Pioneer anomaly a_g = -cH(t) as a hedgehog topological defect centered at Sun).

      Let the Einstein-Cartan 1-form be

      e = 1 + B

      My ansatz is

      B = (hG/c^3)^1/2d(argtheta)

      with "string" branch cuts in argtheta

      Therefore, there is no gravity and inertia when h -> 0 and c -> infinity even when G =/= 0. There is still some residual "normal fluid" fluctuations around the stiff vacuum order parameter psi that obeys the rules of micro-quantum theory as given by Lenny. The ratio of normal to superfluid obviously has a temperature parameter T. Therefore, Lenny's question is answered.

      Comment 2

      Lenny: "Eventually the black hole must completely evaporate. Hawking then raised the question of what becomes of the quantum correlations between matter outside the black hole and matter that disappears behind the horizon. ... Hawking then made arguments that there is no way, consistent with causality, for the correlations to be carried by the outgoing evaporation products."

      Jack: So much the worse for causality, which here means no space-like influences outside the local light cones. Bell's theorem shows that such space-like influences are needed and they are locally random in micro-quantum theory consistent with the blackbody radiation.

      Lenny: "Thus, according to Hawking, the existence of black holes inevitably causes a loss of quantum coherence and breakdown of one of the basic principles of quantum mechanics - the evolution of pure states into pure states."

      Jack: So much the worse for micro-quantum mechanics. It's time to slaughter that Sacred Cow. Global special relativity of 1905 is violated by the necessity of gravity and inertia in local general relativity of 1915 where it is relegated to a purely local tangent space by the equivalence principle. In the same way micro-quantum mechanics is not complete, but merely corresponds to nonlocally entangled small fluctuations about the stiff macro-quantum vacuum ODLRO coherent order parameter that provides the local fabric of space-time via

      B = (hG/c^3)^1/2d(argVacuum ODLRO).

      Lenny: "Hawking further argued that once the loss of quantum coherence is permitted in black hole evaporation, it becomes compulsory in all processes involving the Planck scale. The world would behave as if it were in a noisy environment which continuously leads to a loss of coherence. The trouble with this is that there is no known way to destroy coherence without at the same time violating energy conservation by heating the world."

      Jack: I need to see the math of the above argument. Why does not the expansion of the universe cool down this alleged heating effect? Also total energy is not necessarily conserved in curved space-time because of the breakdown of time translation symmetry. Presumably the book will explain this argument in more detail. Lenny wants to hold on to micro-quantum unitarity at all costs and I think this is the basic error in his thesis, but I could be wrong. The macro-quantum vacuum ODLRO order parameter does not obey a unitary time evolution. You cannot think of |psi|^2 as a Born quantum probability density like you can for micro-quantum wave functions.

      Indeed the space integral of |psi(x)|^2 need not be a constant of the motion at all. For example, you have a pot of superfluid helium at almost T = 0 at t = 0 and then you slowly heat it. As you heat the superfluid it turns to normal fluid completely disappearing at the lambda point. In the case of vacuum ODLRO the "normal fluid" is the dark energy!

      Comment 3
      Lenny's Chapter 1 implicitly clearly shows why Hal Puthoff's PV alternative to the black hole is not a useful theory for metric engineering the fabric of space-time to reach the stars and other galaxies in a short time through wormholes held open by dark energy. Hal uses isotropic coordinates inside the event horizon where they are not appropriate. He says he can do that because his exponential metric does not have an event horizon. But in that case his solution does not obey Einstein's vacuum GR equation Ruv = 0. Therefore, PV theory conflicts with GR. Indeed, PV theory is not consistent with Diff(4) tensors and therefore, it violates the equivalence principle. In spite of that Hal Puthoff claims he is not offering a theory different from GR but only an "engineer's" way to do it. This, of course, is self-contradictory. Note that in George Chapline's "dark star" theory there is dark energy behind the event horizon, i.e. not Ruv = 0, but the same equation I use

      Guv + /\zpfguv = 0

      We do seem to need Gennady Shipov's torsion field beyond 1915 GR to allow

      /\zpf^,v =/= 0 at the event horizon boundary because the Bianchi identities without torsion demand /\zpf^,v = 0.

      Jack Sarfatti

      5 out of 5 stars Easy to understand - very simple, no-nonsense style........2005-07-06

      The title of the book reminds me of the classic physics question: yes, this equation can be expanded for small values of the parameter. But before you whip out that expansion, first tell me what "small" means in this context?

      I would venture to say that the title of the book is a misnomer on some level. This is a technical book, there's no question about that. If you are not a physicist, you will not understand a single page. When I say "technical", what I specifically mean is you should have:

      * A course on general relativity. The first page dumps the Schwarzschild metric on you. You should be familiar with, say, the Faraday tensor (which any decent GR or even SR course should cover).

      * A course on quantum field theory. The book very quickly goes into the massless free Klein-Gordon equation in a Schwarzschild background. You should know the basics of string theory. After all, that's what the book is partially about!

      * A course on thermo/statistical mechanics. The book delves into black hole entropy. Be prepared to blow the dust off your partition functions.

      In that sense, this book is not an introduction, and is CERTAINLY not for the layperson. Now that I've disparaged this book enough, I'll tell you why this is a phenomenal book that deserves a place on your bookshelf (again, for certain values of "you").

      This book is a gentle introduction to the classical and quantum mechanical principles of blackholes. It was beautifully written. It may very well be one of my favorite books. When I say "beautiful", I don't mean beautiful like Wald's classic but impenetrable book on GR. Imagine David Griffiths or Matt Visser writing a book for mid-level grad students going into high energy physics. They go deeply into the different coordinates used for blackhole spacetimes and Penrose diagrams, but in a hand-holding way that emphasizes knowing-by-visualization rather than knowing-by-calculation. Yes, the calculations are all there, but the authors are not content with that. They go into the nitty-gritty type of understanding that seems to be absent in most books on this subject.

      Which brings me to the next point: diagrams. This book may contain more diagrams than any other comprable book I've seen (except for the behemoth called "Gravitation", but with the case of the telephone book, half the diagrams are wasteful; do we REALLY need to see a picture of firecracker's world line or yet another picture of Newton?). The diagrams are numerous and effective. Kudos. I wish more authors paid as much attention to visualization.

      The authors took a very difficult subject and wrote an extremely accessible and well written book on it. If you are a student of high energy physics, or simply want to see someone masterfully write on the subject, this book deserves a place on your bookshelf. Again, for certain values of "you".

      I'm still in the process of reading this book, but one fault I can find is that I wish the index was a bit more extensive. However, that's small-fry compared to what makes this book great.

      3 out of 5 stars Define "Introduction".......2005-05-06

      If you're into reading about physics but don't have the maths to back it up, this isn't the book for you. This "introduction" is probably aimed at university physics students. I am without a university physics education and am finding the book almost as hard as reading a Japanese newspaper. As with reading a Japanese newspaper, the pictures help a lot. I don't feel I'm getting enough to "rate" the book, but I can warn others as innumerate as myself.

      Update: I've made it ~halfway through. There's a great deal of uncertainty as to what I'm actually understanding as opposed to what I'm just filling-in with intuitive fictions. But I can live with that (as we all must at some point).
      Spacetime and Singularities: An Introduction (London Mathematical Society Student Texts)
      Average customer rating: 4 out of 5 stars
      • A Stimulating and Interesting Book
      Spacetime and Singularities: An Introduction (London Mathematical Society Student Texts)
      Gregory L. Naber
      Manufacturer: Cambridge University Press
      ProductGroup: Book
      Binding: Paperback

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      1. Gravity: An Introduction to Einstein's General Relativity Gravity: An Introduction to Einstein's General Relativity
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      ASIN: 0521336120

      Book Description

      Naber provides an elementary introduction to the geometrical methods and notions used in special and general relativity. Particular emphasis is placed on the ideas concerned with the structure of space-time and that play a role in the Penrose-Hawking singularity theorems. The author's primary purpose is to give a rigorous proof of the simplest of these theorems, by the one that is representative of the whole. He provides exercises and examples at the end of each chapter. No previous exposure either to relativity theory of differential geometry is required of the reader, as necessary concepts are developed when needed, though some restrictions ae imposed on the types of space considered.

      Customer Reviews:

      4 out of 5 stars A Stimulating and Interesting Book.......2000-11-01

      This book is concerned primarily with a geometrical and in places, a topological approach to spacetime, leading to a full proof of one of Hawking's singularity theorems.The first part introduces the geometry of Minkowski Spacetime as.. 'a 4-dimensional ral vector space on which is defined a nondegenerate symmetric bilinear form of index one'.Some mathematical maturity is required to attempt this book on one's own.Chapter two develops relativistic mechanics in quite an abstract way (certainly for a first encounter) and chapter three develops spacetimes from the point of view of maps between manifolds.This chapter ends with a statement of one of Hawking's theorems. Chapter four sets out a full rigorous proof. There are no hints/partial solutions for the exercises although there are some 'examples'. The first three chapters were enjoyable and I managed to do quite a lot of the exercises and problems.As someone who works entirely independently at this kind of thing for 'fun',I found chapter four very hard going.Having no-one to ask when stuck made it a bit frustrating.The book was very stimulating though and encouraged me to research other sources for similar material to fill in gaps in my mathematical knowledge.

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      2. The Planetary System, Third Edition
      3. The Search for Life in the Universe (Third Edition)
      4. The Search for Life in the Universe (Third Edition)
      5. The Sleepwalkers: A History of Man's Changing Vision of the Universe (Arkana)
      6. The Stargate Conspiracy: The Truth about Extraterrestrial life and the Mysteries of Ancient Egypt
      7. The Transit of Venus
      8. The Transit of Venus
      9. The Trouble With Physics: The Rise of String Theory, the Fall of a Science, and What Comes Next
      10. The Ultimate Hitchhiker's Guide to the Galaxy

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