CPviolation from noncommutative geometry

If the geometry of space-time is noncommutative, i.e., $\left[x_{\mu }{,x}_{\nu }\right]=i{\theta }_{\mu \nu },$ then noncommutative $\mathrm{CP}$ violating effects may be manifest at low energies. For a $\mathrm{noncommutative}$ scale $\Lambda \equiv {\theta }^{-1/2}<~2$ TeV, $\mathrm{CP}$ violation from noncommutative geometry is comparable to that from the standard model alone: the $\mathrm{noncommutative}$ contributions to $\epsilon$ and ${\epsilon }^{\prime }/\epsilon$ in the K system may actually dominate over the standard model contributions. Present data permit $\mathrm{noncommutative}\mathrm{}\mathrm{geometry}$ to be the only source of $\mathrm{CP}$ violation. Furthermore the most recent findings for $g-2$ of the muon are consistent with predictions from $\mathrm{noncommutative}\mathrm{}\mathrm{geometry}.$