Abstract

The goal of this article is to present a broad perspective on loop quantum gravity, a non-perturbative, background independent approach to the problem of unification of general relativity and quantum physics, based on a specific theory of quantum Riemannian geometry. The chapter is addressed to non-experts. Therefore, the emphasis is on underlying ideas, conceptual issues and the overall status of the program rather than mathematical details and associated technical subtleties. This review complements that by Martin Bojowald which focusses on applications of quantum geometry to cosmology.

Original languageEnglish (US)
Title of host publication100 Years of Relativity
Subtitle of host publicationSpace-Time Structure: Einstein and Beyond
PublisherWorld Scientific Publishing Co.
Pages350-381
Number of pages32
ISBN (Electronic)9789812700988
ISBN (Print)9812563946, 9789812563941
DOIs
StatePublished - Jan 1 2005

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Ashtekar, A. (2005). Quantum geometry and its ramifications. In 100 Years of Relativity: Space-Time Structure: Einstein and Beyond (pp. 350-381). World Scientific Publishing Co.. https://doi.org/10.1142/9789812700988_0013