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. Title, Gauge Fields, Knots and Gravity Volume 4 of K & E series on knots and everything. Author, John C. Baez. Edition, reprint. Publisher, World Scientific, Gauge Fields, Knots and Gravity has 44 ratings and 3 reviews. Jon said: This text is aimed at undergraduates, but I would readily recommend it to grad st.
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This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. Goodreads is the world’s largest site for readers with over 50 million reviews. It is a really fast and easy introduction to the topics mentioned in the title.
It uses as ‘physical excuses’ to introduce these topics Maxwell theory, Yang-Mills theories and general relativity including its Ashtekar reformulation. Paul Bryan rated it really liked it Jun 25, Alex Yarosh rated it it was amazing Nov 09, It is a disadvantage since it can’t be deep enough, so suddenly you may find yourself confused if you haven’t seen these topics before.
Gauge Fields, Knots and Gravity
It can be read by advanced undergraduates, as it assumes nothing more than advanced calculus and linear algebra, but as it is baeez said, some “mathematical maturity” would also help. It seems that knots could be involved in the unification of General Relativity and Quantum Mechanics.
Gauge Fields, Knots and Gravity by John C. Baez
The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. David John Warwick Simpson.
It is an advantage since it is self-contained. The explanations are clear and the style is one that physicists will certainly appreciate also mathematicians, but perhaps they would prefer more theorem and proof style, absent here.
The Belgian rated it it was amazing Aug 29, Jessica Zu rated it really liked it May 31, May 08, David rated it really liked it Shelves: For the individual reader, it is a great way to be lured into the study of the mathematics that underlies contemporary theoretical physics. knotx
Muniain No preview available – Be the first to ask a question about Gauge Fields, Knots and Gravity. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched.
Tim Robinson rated it really liked it Jan 19, Sep 06, Jon Paprocki rated it really liked it. The lost star is just because I can’t see myself ever opening the book again now that I’ve read it once unless I decide to read the quantum gravity section. Mhds Nfr rated it liked it Jul 06, BaezJavier P. 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 c This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book is about some of the recent approaches to find a models, known as the theory of everything.
Dispatched from the UK in 2 business days When will my order arrive? Jonathan Shock rated it really liked it Apr 06, To ask other readers questions about Gauge Fields, Knots and Gravityplease sign up. Chaotic Dynamics In Hamiltonian Systems: George Hagstrom rated it it was amazing Apr 05, Paperbackpages. While I had wished that some topics had more written on them when do you ever not? It is very pedagogical and won’t be a very useful reference to have around.
The treatment is mathematically and physically self-contained 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.
John rated it it was amazing Fielde 25, Mark rated it it was amazing Mar 16, The book starts from basics and explain all the prerequisites, such beaz differential geometry, knot theory, gauge theory, ele It is a well-known fact that our two important physical models, general relativity and quantum mechanics don’t agree together, or in more general sense there is no compatible model which includes all the forces in the nature, including gravity, into account at the same time.
A professor of mathematics at the University of California, Riverside, he enjoys answering physics questions on the usenet newsgroup sci. Goodreads helps you keep kbots of books you want to read.