Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-07-20
Phys.Rev. D74 (2006) 083506
Physics
High Energy Physics
High Energy Physics - Theory
6 pages, RevTeX4
Scientific paper
10.1103/PhysRevD.74.083506
We study the possibility that dark energy is a manifestation of the Casimir energy on extra dimensions with the topology of $S^2$. We consider our universe to be $M^4 \times S^2$ and modify the geometry by introducing noncommutativity on the extra dimensions only, i.e. replacing $S^2$ with the fuzzy version $S_{F}^2$. We find the energy density as a function of the size of the representation $M+1$ of the algebra of $S_{F}^2$, 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.
Fabi Sergio
Harms Benjamin
Karatheodoris G.
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