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  Fractional and noncommutative spacetimes

Arzano, M., Calcagni, G., Oriti, D., & Scalisi, M. (2011). Fractional and noncommutative spacetimes. Physical Review D, 84(12): 125002. doi:10.1103/PhysRevD.84.125002.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-313B-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-313D-D
Genre: Journal Article

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1107.5308 (Preprint), 337KB
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 Creators:
Arzano, Michele, Author
Calcagni, Gianluca1, Author              
Oriti, D.1, Author              
Scalisi, Marco1, Author
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:67201              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: We establish a mapping between fractional and noncommutative spacetimes in configuration space. Depending on the scale at which the relation is considered, there arise two possibilities. For a fractional spacetime with log-oscillatory measure, the effective measure near the fundamental scale determining the log-period coincides with the non-rotation-invariant but cyclicity-preserving measure of \kappa-Minkowski. At scales larger than the log-period, the fractional measure is averaged and becomes a power-law with real exponent. This can be also regarded as the cyclicity-inducing measure in a noncommutative spacetime defined by a certain nonlinear algebra of the coordinates, which interpolates between \kappa-Minkowski and canonical spacetime. These results are based upon a braiding formula valid for any nonlinear algebra which can be mapped onto the Heisenberg algebra.

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 Dates: 2011-07-262011
 Publication Status: Published in print
 Pages: 15 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1107.5308
DOI: 10.1103/PhysRevD.84.125002
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 84 (12) Sequence Number: 125002 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111088197762258