Constraint on noncommutative spacetime from PLANCK data

Abstract

We constrain the energy scale of noncommutativity of spacetime using cosmic microwave background data from PLANCK. We find that PLANCK data put the lower bound on the noncommutativity energy scale to about 20 TeV, which is about a factor of 2 larger than a previous constraint that was obtained using data from WMAP, ACBAR and CBI. We further show that inclusion of data of $E$ mode of cosmic microwave background polarization will not significantly change the constraint.