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Quantum Spacetime, Quantum Geometry and Planck scales
- Source :
- Expositiones Mathematicae. 38:168-179
- Publication Year :
- 2020
- Publisher :
- Elsevier BV, 2020.
-
Abstract
- The Principles of Quantum Mechanics and of Classical General Relativity indicate that Spacetime in the small (Planck scale) ought to be described by a noncommutative C* Algebra, implementing spacetime uncertainty relations. A model C* algebra of Quantum Spacetime and its Quantum Geometry is described. Interacting Quantum Field Theory on such a background is discussed, with open problems and recent progress. Applications to cosmology suggest that the Planck scale ought to depend upon dynamics, and possible consequences in the large of the quantum structure in the small are outlined.
- Subjects :
- Quantum geometry
Spacetime
General relativity
General Mathematics
010102 general mathematics
Quantum spacetime
01 natural sciences
Noncommutative geometry
Cosmology
General Relativity and Quantum Cosmology
symbols.namesake
Theoretical physics
symbols
0101 mathematics
Planck
Quantum field theory
Mathematics
Subjects
Details
- ISSN :
- 07230869
- Volume :
- 38
- Database :
- OpenAIRE
- Journal :
- Expositiones Mathematicae
- Accession number :
- edsair.doi...........9e894c5f9761d3a70ff71c428baec274