2006/07/20 by S. Fabi, B. Harms, G. Karatheodoris
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th
paper · pdf · doi:10.1103/physrevd.74.083506
published as Phys.Rev. D74 (2006) 083506 · 6 pages, RevTeX4
arxiv created 2006/07/20 · openalex publication_date 2006/10/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the possibility that dark energy is a manifestation of the Casimir energy on extra dimensions with the topology of S2. We consider our universe to be M4\ifmmode×\else\texttimes\fiS2 and modify the geometry by introducing noncommutativity on the extra dimensions only, i.e. replacing S2 with the fuzzy version SF2. We find the energy density as a function of the size of the representation M+1 of the algebra of SF2, and we calculate its value for the M+1=2 case. The value of the energy density turns out to be positive, i.e. provides dark energy, and the size of the extra dimensions agrees with the experimental limit. We also recover the correct commutative limit as the noncommutative parameter goes to zero.