Noncommutative inflation is based upon the consideration of some effects of the space-time uncertainty principle motivated by ideas from string/M theory .
The CMB anisotropies may carry a signature of this very early Universe correction from the space-time uncertainty principle and can be used to place constraints on the parameters of the noncommutative inflation model .
In this paper we analyze the noncommutative chaotic inflation model by means of the WMAP three year results .
We show that the noncommutative chaotic inflation model can produce a large negative running of spectral index within a reasonable range of e -folding number N , provided that the value of p in the potential V ( \phi ) \propto \phi ^ { p } is enhanced roughly to p \sim 12 - 18 .
Applying a likelihood analysis to the WMAP results , we find the best-fit values of parameters for the noncommutative chaotic inflation model .
In addition , this model predicts a rather big gravitational wave which may be tested by the upcoming experiments .