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Non-commutative Geometry Modified Non-Gaussianities of Cosmological Perturbation
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We investigate the noncommutative effect on the non-Gaussianities of primordial cosmological perturbation. In the lowest order of string length and slow-roll parameter, we find that in the models with small speed of sound the noncommutative modifications could be observable if assuming a relatively low string scale. In particular, the dominant modification of non-Gaussianity estimator f_{NL} could reach O(1) in DBI inflation and K-inflation. The corrections are sensitive to the speed of sound and the choice of string length scale. Moreover the shapes of the corrected non-Gaussianities are distinct from that of ordinary ones.
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Modified Mukhanov-Sasaki equation and primordial perturbations in $\kappa$-deformed non-commutative space-time
A κ-deformed star product modifies the inflationary perturbation equation, yielding a (ln k)^2 correction to the power spectrum and a claimed ACT DR6 bound on the deformation length.
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