Quantum space-times beyond the continuum of Minkowski and Einstein. (English) Zbl 1208.83005
Petkov, Vesselin (ed.), Minkowski spacetime: A hundred years later. Dedicated to the 100th anniversary of the publication of Hermann Minkowski’s paper “Raum und Zeit” in 1909. Dordrecht: Springer (ISBN 978-90-481-3474-8/hbk; 978-90-481-3475-5/ebook). Fundamental Theories of Physics 165, 163-196 (2010).
Summary: In general relativity space-time ends at singularities. The big bang is considered as the Beginning and the big crunch, the End. However these conclusions are arrived at by using general relativity in regimes which lie well beyond its physical domain of validity. Examples where detailed analysis is possible show that these singularities are naturally resolved by quantum geometry effects. Quantum space-times can be vastly larger than what Einstein had us believe. These non-trivial space-time extensions enable us to answer of some long standing questions and resolve of some puzzles in fundamental physics. Thus, a century after Minkowski’s revolutionary ideas on the nature of space and time, yet another paradigm shift appears to await us in the wings.
For the entire collection see [Zbl 1220.83003].
For the entire collection see [Zbl 1220.83003].
MSC:
| 83-03 | History of relativity and gravitational theory |
| 81-03 | History of quantum theory |
| 01A60 | History of mathematics in the 20th century |
Keywords:
space-time singularities; big bang; black holes; information loss; singularity resolution; quantum geometry; quantum bounce; space-time extensionCitations:
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