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Covariant Loop Quantum Gravity: An Elementary Introduction to Quantum Gravity and Spinfoam Theory (Cambridge Monographs on Mathematical Physics)
Ebook Free Covariant Loop Quantum Gravity: An Elementary Introduction to Quantum Gravity and Spinfoam Theory (Cambridge Monographs on Mathematical Physics)
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Book Description
A comprehensible introduction to the most fascinating research in theoretical physics: advanced quantum gravity. This book focuses on the physical and conceptual aspects of the problem and includes the background material needed to enter this lively domain of research, making it ideal for researchers and graduate students.
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About the Author
Carlo Rovelli is Professor of Physics at Université d'Aix-Marseille, where he directs the gravity research group. He is one of the founders of loop quantum gravity theory.
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Product details
Series: Cambridge Monographs on Mathematical Physics
Hardcover: 266 pages
Publisher: Cambridge University Press; 1 edition (December 15, 2014)
Language: English
ISBN-10: 1107069629
ISBN-13: 978-1107069626
Product Dimensions:
7.6 x 0.7 x 10 inches
Shipping Weight: 1.7 pounds (View shipping rates and policies)
Average Customer Review:
4.5 out of 5 stars
9 customer reviews
Amazon Best Sellers Rank:
#490,782 in Books (See Top 100 in Books)
Misses it's goal a bit, it wasn't quite as low level as the authors anticipated. The preface states "assumes only some basic knowledge of general relativity, quantum mechanics and quantum field theory." This is very untrue, you must know considerably more than this. The middle chapters require you to be quite comfortable with differential forms and alternative formulations of the Einstein-Hilbert action.That being said, if you rewrite that sentence to assume comfort with GR, QFT and differential geometry, this book is the best book hands down for learning covariant LQG.
This is an exciting subject to read about. The opening pages discuss how at the scale of ten to the power of minus thirty three centimeters , the Planck scale , strange things happen. General relativity predicts that a particle confined to a very small space should form a black hole. The Schwarzschild radius is proportional to the mass of the particle assuming the particle is sufficiently concentrated to form a black hole. General relativity allows the Schwarzschild radius to be arbitrarily small. Giving correct numerical factors and combining the argument with Quantum Mechanics in terms of the Heisenberg uncertainty principal predicts a minimum size for the localization and this turns out to be Plank scale. This argument is detailed in the book by the authors with correct numerical factors given. The argument is in some ways academic because micro-black holes probably do not exist but it does show an inherit contradiction between General Relativity and Quantum Mechanics. The argument also shows the scale at which we expect quantum gravity to be important. The argument outlined was given by Bronstein an early pioneer of Quantum Gravity. Quantum Gravity is important for example to understand early cosmology of the universe but mostly it is to try to resolve the inherit contradictions between Quantum Theory and General Relativity. These contradictions can be seen in other ways.The book requires understanding of SU(2), SO(1,3), and their irreducible representations in spinor space. Very early on by looking at a tetrahedron and postulating a quantum relation similar to that of angular momentum in elementary quantum mechanics we deduce that area is quantized for the tetrahedron (just as the total angular momentum is quantized in quantum mechanics). We also deduce that distance itself has a fuzziness at this scale! The book proceeds from there.The book is not "elementary" since there is much impressive math and physics but this should not put one off reading this book but instead be motivation for reading from external sources to fill in the gaps and gain a better understanding of this exciting subject. To me it does seem like this theory is the correct theory for uniting General Relativity and Quantum Theory rather than thinking about higher dimensional spaces and as further evidence of this there is a chapter (Chapter 8, Continuum limit) showing how in outline Einstein's equations can be deduced from these spinor equations. A complete understanding would only be achieved by a specialist in the field but this should not put one off reading about what has been achieved. The ideas here will definitely expand your horizons and this is a must to read for anyone interested in Physics. However to gain the most from this book supplementary reading will definitely be necessary.
As the title of thsThis evaluation (3 stars) is not to degrade the context of this excellent book. But if you are to order this book, you better go with the printed version and not the Kindle one, as will you really find it difficult and bothering reading the mathematical equations, terms, and symbols in their scanned form that appear quite small and faded if not illegible.There is no way you can enlarge such scanned "images". It is really frustrating that e-books cannot follow (or imitate) the advanced standard or the format of PDF texts in which there is no difference between ordinary texts and specialized symbols or formulas either in their sharpness or size.I hope sometimes Kindle takes care of this problem. Mind, it is not a wishful thinking since it is surely doable, provided that a plethora of serious consumers (readers) demand it from Amazon or Kindle. Recall that in early versions of Kindle book it was impossible to refer to the page number of a scholarly book or any book you were reading (only the digital "locaton" was given), but this flaw does is already dealt with (the page number is now given in the Kindle edition as you click on a line).
The book is well written and covers the topic very well. Equations and mathematical concepts are liberally used, but anyone with some higher math can follow the book and gain insight into this fascinating subject.
Marvelous and intriguing at the same time. Oh, there comes time again!
My favorite parts of the book, that I'm currently reading with the greatest pleasure and interest, are Chapters 8, 9, 10, 11 (Classical Limit, Matter, Black Holes, Cosmology). Together with the earlier introductory chapters they give more than just a technical introduction---they provide a context of ideas, insights, motivation, intuitive grasp that helps one access current research! Context that can make a big difference, but which research papers may take for granted and touch on lightly or skip entirely.The style is lively and entertaining, and has plenty of enlightening graphic illustration. This is a great introduction for anyone who wants to start research in loop quantum gravity, or to follow what's happening in the field.
Pleased with this book.
Yes it is a good book. It is difficult for me and must be read slowly.
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