What is Loop quantum gravity: Definition and 107 Discussions

Loop quantum gravity (LQG) is a theory of quantum gravity, which aims to merge quantum mechanics and general relativity, incorporating matter of the Standard Model into the framework established for the pure quantum gravity case. As a candidate for quantum gravity, LQG competes with string theory.Loop quantum gravity is an attempt to develop a quantum theory of gravity based directly on Einstein's geometric formulation rather than the treatment of gravity as a force. To do this, in LQG theory space and time are quantized analogously to the way quantities like energy and momentum are quantized in quantum mechanics. The theory gives a physical picture of spacetime where space and time are granular and discrete directly because of quantization just like photons in the quantum theory of electromagnetism and the discrete energy levels of atoms. An implication of a quantized space is that a minimum distance exists.
LQG postulates that the structure of space is composed of finite loops woven into an extremely fine fabric or network. These networks of loops are called spin networks. The evolution of a spin network, or spin foam, has a scale on the order of a Planck length, approximately 10−35 metres, and smaller scales are meaningless. Consequently, not just matter, but space itself, prefers an atomic structure.
The areas of research, which involves about 30 research groups worldwide, share the basic physical assumptions and the mathematical description of quantum space. Research has evolved in two directions: the more traditional canonical loop quantum gravity, and the newer covariant loop quantum gravity, called spin foam theory.
The most well-developed theory that has been advanced as a direct result of loop quantum gravity is called loop quantum cosmology (LQC). LQC advances the study of the early universe, incorporating the concept of the Big Bang into the broader theory of the Big Bounce, which envisions the Big Bang as the beginning of a period of expansion that follows a period of contraction, which one could talk of as the Big Crunch.

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  1. R

    Nuts and Bolts Books on Strings, Branes and/or Loop Quantum Gravity

    Does anyone know of any good problem solving books on strings, branes and/or loop quantum qravity? I am looking for something that has a lot of actual solved problems, something in the spirit of Schaum's Outline Series, Zetteli's book on QM, or Peskin and Schroeder's book on QFT. Any...
  2. marcus

    Development of Loop Quantum Gravity

    This is a thread for collective learning of the classical (i.e. non-quantum) theory of Gravity-----which means General Relativity. Reference material is Chapter 2 (pages 21-71) of Rovelli's book "Quantum Gravity" and John Baez GR Tutorial The title of Rovelli's book notwithstanding, the...
  3. marcus

    Spin networks in Loop Quantum Gravity

    LQG is based on a smooth compact manifold M The configuration space is A the connections on M: by choice here we use SO(3) connections----the smooth rotation-valued 1-forms on M. The connections represent all the possible configurations of gravity, or curvature, on the manifold-----in other...
  4. marcus

    The rotations, SO(3), in Loop Quantum Gravity

    this is a collective effort to hit the easy parts of LQG for anyone who has shown an interest in this approach to quantum gravity to add constructive input Lubos Motl has been a critic of LQG and has just published a clear presentation of it, plus made an important contribution to and he...
  5. marcus

    The connection in Loop Quantum Gravity

    In the Physics forum, jby started a LQG thread which at one point included some discussion of Connections. It might be helpful to have a thread focused on the connection which is taking over the central role from the metric for some purposes. GR used to be the study of the metric on a smooth...
  6. J

    What are spin networks and how do they give rise to space and matter?

    I don't know if I've come to the right place. I've posted this in the theoretical physics forum and yet to get a reply... I recently read this article http://www.sciam.com/article.cfm?ar...F71809EC588EEDF and came across this thing called spin network. Anyone with further explanation on...
  7. E

    Loop Dreams Loop Quantum Gravity Dreams that is

    Loop Dreams... Loop Quantum Gravity Dreams that is... So, many people ask me if they have what it takes to make it in the world of academic physics. Here's my little survey for helping people find out if they have the right stuff. How old are you? If you answered >= 35, and you're not...
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